Alternating currents

9702 Physics · official mark-scheme answers · 30 questions

9702-2021-m-42-q05

March 2021 · Paper 42 · Question 5 · 7 marks
9702-2021-m-42-q05 official mark scheme page 9702-2021-m-42-q05 official mark scheme page
5(a)(i) amplitude of the carrier wave varies M1 in synchrony with the displacement of the (information) signal A1 5(a)(ii) Any 2 from: B2 • fewer transmitters needed / each transmitter can cover a greater distance • more stations can share waveband • transmitters and receivers are cheaper © UCLES 2021 Page 12 of 19 5(b)(i) v A1 λ= f 3.0 ×108 = =200 m 1.5×106 5(b)(ii) 10 kHz B1 5(c) 1520 kHz B1 Question Answer Marks

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9702-2021-m-42-q07

March 2021 · Paper 42 · Question 7 · 9 marks
9702-2021-m-42-q07 official mark scheme page
7(a)(i) non-inverting (amplifier) B1 7(a)(ii) R B1 gain= f +1 R 3.6 gain= +1=6.0 0.72 7(a)(iii) straight line from (0,0) to (T / 2, 3) B1 line from origin to 3.0 V then horizontal line at 3.0 V to T B1 7(a)(iv) ldr / light dependent resistor replaces one of the two resistors B1 7(b)(i) relay coil B1 7(b)(ii) relay coil between op-amp and earth B1 diode with correct polarity (pointing away from output) connected between output and device and no other connections B1 or diode with correct polarity (pointing towards earth) between device and earth and no other connections switch connected to high voltage circuit B1 Question Answer Marks

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9702-2021-m-42-q10

March 2021 · Paper 42 · Question 10 · 8 marks
9702-2021-m-42-q10 official mark scheme page
10(a) 230 V A1 10(b) ω = 100π C1 2π 2π T = = ω 100π =0.020 s A1 10(c)(i) half-wave (rectification) B1 10(c)(ii) sinusoidal half waves in positive V only or negative V only, peak at 320 V B1 line at zero for second half of cycle B1 two time periods shown, each of 0.020 s B1 10(c)(iii) capacitor added in parallel with resistor B1 © UCLES 2021 Page 17 of 19

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9702-2021-mj-41-q05

May/June 2021 · Paper 41 · Question 5 · 8 marks
9702-2021-mj-41-q05 official mark scheme page
5(a) amplitude of the carrier wave varies M1 in synchrony with the displacement of the (information) signal A1 5(b)(i) wavelength = (3.0 × 108) / (300 × 103) A1 = 1000 m 5(b)(ii) bandwidth = 16 kHz A1 5(b)(iii) frequency = 8 kHz A1 5(c) attenuation = 10 lg (P / P ) C1 1 2 73 = 10 lg (P / P ) C1 T R 73 = 10 lg (P x2 / 0.082 P ) or x2 / 0.082 = 107.3 T T x = 1300 m A1 © UCLES 2021 Page 11 of 18

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9702-2021-mj-42-q04

May/June 2021 · Paper 42 · Question 4 · 8 marks
9702-2021-mj-42-q04 official mark scheme page
4(a)(i) frequency (modulation) B1 4(a)(ii) 1. zero B1 2. frequency (of 1.2 MHz) varies by ±50 kHz B1 frequency varies (by ±50 kHz) at a rate of 8000 times per second B1 4(b)(i) wavelength = (3.00 × 108) / (240 × 103) C1 (= 1250 m) A1 = 1.25 km 4(b)(ii) bandwidth = 30 kHz A1 4(b)(iii) frequency = 15 kHz A1 © UCLES 2021 Page 11 of 19

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9702-2021-mj-42-q10

May/June 2021 · Paper 42 · Question 10 · 8 marks
9702-2021-mj-42-q10 official mark scheme page
10(a) the steady current M1 or the direct current that produces the same heating effect (as the alternating current) A1 10(b)(i) peak current = 2.6 A and r.m.s. current = 1.8 A A1 10(b)(ii) peak current = 2.0 A and r.m.s. current = 2.0 A A1 10(c)(i) k = 2πf C1 = 2π × 50 A1 = 310 rad s–1 10(c)(ii) power = V 2 / R or power = V 2 / 2R C1 RMS 0 R = (240 / √2)2 / 3200 or R = 2402 / (2 × 3200) A1 R = 9.0 Ω © UCLES 2021 Page 17 of 19

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9702-2021-mj-43-q05

May/June 2021 · Paper 43 · Question 5 · 8 marks
9702-2021-mj-43-q05 official mark scheme page
5(a) amplitude of the carrier wave varies M1 in synchrony with the displacement of the (information) signal A1 5(b)(i) wavelength = (3.0 × 108) / (300 × 103) A1 = 1000 m 5(b)(ii) bandwidth = 16 kHz A1 5(b)(iii) frequency = 8 kHz A1 5(c) attenuation = 10 lg (P / P ) C1 1 2 73 = 10 lg (P / P ) C1 T R 73 = 10 lg (P x2 / 0.082 P ) or x2 / 0.082 = 107.3 T T x = 1300 m A1 © UCLES 2021 Page 11 of 18

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9702-2021-on-41-q05

Oct/Nov 2021 · Paper 41 · Question 5 · 8 marks
9702-2021-on-41-q05 official mark scheme page
5(a) • noise can be removed/signal can be regenerated B2 • extra bits can be added for error-checking • signal can be encrypted (for increased security) • data compression/multiplexing is possible Any two points, 1 mark each 5(b)(i) 4ms: 0101 and 8ms: 0100 B1 5(b)(ii) sketch: horizontal line continues to 8ms, then new horizontal line from 8ms to 12ms B1 level of line after 8ms is 4 mV B1 5(c) sketch: series of steps of width 2ms B1 step heights at 0, 2, 4, 6, 4, 6 mV B2 2 marks if all correct, 1 mark if only one incorrect Question Answer Marks

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9702-2021-on-41-q07

Oct/Nov 2021 · Paper 41 · Question 7 · 9 marks
9702-2021-on-41-q07 official mark scheme page
7(a) • infinite (open-loop) gain B2 • infinite slew rate • infinite input impedance • zero output impedance • infinite bandwidth Any two points, 1 mark each 7(b) X: thermistor and Y: relay B1 7(c)(i) (any) difference in voltage at the inputs causes output to saturate (because gain is very large) B1 saturates positively if V+ > V– and saturates negatively if V+ < V– B1 7(c)(ii) comparator B1 7(c)(iii) temperature M1 above a particular value A1 7(c)(iv) to adjust the temperature (at which the lamp illuminates/extinguishes) B1 © UCLES 2021 Page 12 of 15

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9702-2021-on-42-q05

Oct/Nov 2021 · Paper 42 · Question 5 · 8 marks
9702-2021-on-42-q05 official mark scheme page
5(a)(i) unmodulated (radio) waves would interfere with each other B1 or not modulating would require aerials too long (to be practical) 5(a)(ii) advantage: B1 • can transmit higher frequencies • higher quality reproduction • less prone to interference • same frequency can be used in different areas (any one point) disadvantage: B1 • takes up greater bandwidth • shorter range of transmission • requires a greater number of transmitting aerials (any one point) 5(b) AM amplitude: min. 8 mV and max. 12 mV B1 AM frequency: min. 100 kHz and max. 100 kHz B1 FM amplitude: min. 10 mV and max. 10 mV B1 FM frequency: min. 90 kHz and max. 110 kHz B1 5(c) 8.4 kHz A1 © UCLES 2021 Page 11 of 19

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9702-2021-on-42-q07

Oct/Nov 2021 · Paper 42 · Question 7 · 10 marks
9702-2021-on-42-q07 official mark scheme page
7(a) output voltage / input voltage M1 input (voltage) is difference between (inverting and non-inverting) inputs A1 7(b) • reduces the gain B2 • greater bandwidth • more stable Any two points, 1 mark each 7(c)(i) inverting amplifier B1 7(c)(ii) X marked anywhere between right-hand edge of 480Ω resistor, left-hand edge of 1.2kΩ resistor and the inverting input B1 7(c)(iii) gain = (–)R / R C1 f i = (–)1200 / 480 A1 = –2.5 7(c)(iv) V = 6.5 / (–2.5) A1 IN = –2.6 V 7(c)(v) (–2.5) × (–5.4) = +13.5 V, and so output saturates A1 V = (+)8.0 V OUT © UCLES 2021 Page 13 of 19

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9702-2021-on-42-q10

Oct/Nov 2021 · Paper 42 · Question 10 · 10 marks
9702-2021-on-42-q10 official mark scheme page
10(a)(i) to increase the magnetic flux linkage (between the coils) B1 10(a)(ii) to reduce energy losses B1 by reducing induced currents B1 10(b)(i) maximum V = 12 000 × (625 / 25000) A1 OUT = 300 V 10(b)(ii) r.m.s. current = 300 / (640 × √2) A1 = 0.33 A 10(b)(iii) sketch: sinusoidal shape in positive half of the graph, sitting with ‘minima’ resting on the time-axis (at P = 0) B1 each ‘cycle’ shown repeating every 20 ms B1 maximum P shown as 140 W B1 10(c) power curve is symmetrical about the midpoint (on the power axis) B1 mean power is half the peak power B1 © UCLES 2021 Page 16 of 19

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9702-2021-on-43-q05

Oct/Nov 2021 · Paper 43 · Question 5 · 8 marks
9702-2021-on-43-q05 official mark scheme page
5(a) • noise can be removed/signal can be regenerated B2 • extra bits can be added for error-checking • signal can be encrypted (for increased security) • data compression/multiplexing is possible Any two points, 1 mark each 5(b)(i) 4ms: 0101 and 8ms: 0100 B1 5(b)(ii) sketch: horizontal line continues to 8ms, then new horizontal line from 8ms to 12ms B1 level of line after 8ms is 4 mV B1 5(c) sketch: series of steps of width 2ms B1 step heights at 0, 2, 4, 6, 4, 6 mV B2 2 marks if all correct, 1 mark if only one incorrect Question Answer Marks

Official mark scheme pages: 11 · source PDF URL

9702-2021-on-43-q07

Oct/Nov 2021 · Paper 43 · Question 7 · 9 marks
9702-2021-on-43-q07 official mark scheme page
7(a) • infinite (open-loop) gain B2 • infinite slew rate • infinite input impedance • zero output impedance • infinite bandwidth Any two points, 1 mark each 7(b) X: thermistor and Y: relay B1 7(c)(i) (any) difference in voltage at the inputs causes output to saturate (because gain is very large) B1 saturates positively if V+ > V– and saturates negatively if V+ < V– B1 7(c)(ii) comparator B1 7(c)(iii) temperature M1 above a particular value A1 7(c)(iv) to adjust the temperature (at which the lamp illuminates/extinguishes) B1 © UCLES 2021 Page 12 of 15

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9702-2022-m-42-q07

March 2022 · Paper 42 · Question 7 · 6 marks
9702-2022-m-42-q07 official mark scheme page 9702-2022-m-42-q07 official mark scheme page
7(a)(i) two diodes added in correct directions (Both diodes pointing inwards and upwards), correct symbols only B1 7(a)(ii) ‘+’ anywhere on upper output wire B1 7(b)(i) ω = 2π / T C1 = 2π / 2.5 = 0.80 π or 4π / 5 or 2.5 (V =) 3.5 sin (0.8π t) or 3.5 sin (4π t / 5) or 3.5 sin (2.5 t) A1 © UCLES 2022 Page 11 of 17 7(b)(ii) V2 V 2 C1 (P=) or (P=) r.m.s. 2R R 3.52 2.472 = or 2×12 12 = 0.51 W A1 Question Answer Marks

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9702-2022-mj-41-q05

May/June 2022 · Paper 41 · Question 5 · 12 marks
9702-2022-mj-41-q05 official mark scheme page
5(a)(i) conversion (from a.c.) to d.c. B1 5(a)(ii) full-wave (rectification) B1 5(b)(i) P labelled – and Q labelled + B1 5(b)(ii) V scale labelled 4 and 8 on the 2 cm tick marks B1 OUT T = 2 /  C1 = 2 / 25 = 0.08 s t scale labelled 0.02, 0.04, 0.06, 0.08, 0.10, 0.12 on the 2 cm tick marks A1 5(c)(i) correct symbol used for capacitor and capacitor connected in parallel with the 1.2 k resistor. B1 5(c)(ii) straight lines or curves, with negative decreasing gradients, drawn between adjacent peaks, from top of first peak to meet B1 line going up to next peak lines, from one peak to the line going up to the next peak, show a drop in p.d. of 1½ small squares B1 5(c)(iii) V = 0.90  6.0 (= 5.4 V) C1 or discharge time (for each cycle) = 0.034 s V = V exp (– t / RC) C1 0 5.4 = 6.0 exp [– 0.034 / (1.2  103  C)] C = 2.7  10–4 F A1 © UCLES 2022 Page 11 of 16

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9702-2022-mj-43-q05

May/June 2022 · Paper 43 · Question 5 · 12 marks
9702-2022-mj-43-q05 official mark scheme page
5(a)(i) conversion (from a.c.) to d.c. B1 5(a)(ii) full-wave (rectification) B1 5(b)(i) P labelled – and Q labelled + B1 5(b)(ii) V scale labelled 4 and 8 on the 2 cm tick marks B1 OUT T = 2 /  C1 = 2 / 25 = 0.08 s t scale labelled 0.02, 0.04, 0.06, 0.08, 0.10, 0.12 on the 2 cm tick marks A1 5(c)(i) correct symbol used for capacitor and capacitor connected in parallel with the 1.2 k resistor. B1 5(c)(ii) straight lines or curves, with negative decreasing gradients, drawn between adjacent peaks, from top of first peak to meet B1 line going up to next peak lines, from one peak to the line going up to the next peak, show a drop in p.d. of 1½ small squares B1 5(c)(iii) V = 0.90  6.0 (= 5.4 V) C1 or discharge time (for each cycle) = 0.034 s V = V exp (– t / RC) C1 0 5.4 = 6.0 exp [– 0.034 / (1.2  103  C)] C = 2.7  10–4 F A1 © UCLES 2022 Page 11 of 16

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9702-2022-on-41-q07

Oct/Nov 2022 · Paper 41 · Question 7 · 10 marks
9702-2022-on-41-q07 official mark scheme page
7(a)(i) peak voltage = 4.2  2 B1 ( = 5.9 V) power = V2 / R A1 = 5.92 / 760 = 0.046 W or 46 mW 7(a)(ii) sketch shows peak(s) in power at 46 mW B1 correct shape (sinusoidal wave sitting on t-axis) B1 four cycles of repeating pattern shown, with P = 0 at 0, 10, 20, 30, 40 s B1 7(a)(iii) line is symmetrical about 23 mW B1 7(b)(i) (alternating p.d. makes) the crystal vibrate B1 vibrations (of crystal) causes air to vibrate B1 frequency is in ultrasound range B1 7(b)(ii) (air makes) crystal vibrate, which causes an e.m.f. to be generated across the (second) crystal B1 © UCLES 2022 Page 12 of 15

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9702-2022-on-43-q07

Oct/Nov 2022 · Paper 43 · Question 7 · 10 marks
9702-2022-on-43-q07 official mark scheme page
7(a)(i) peak voltage = 4.2  2 B1 ( = 5.9 V) power = V2 / R A1 = 5.92 / 760 = 0.046 W or 46 mW 7(a)(ii) sketch shows peak(s) in power at 46 mW B1 correct shape (sinusoidal wave sitting on t-axis) B1 four cycles of repeating pattern shown, with P = 0 at 0, 10, 20, 30, 40 s B1 7(a)(iii) line is symmetrical about 23 mW B1 7(b)(i) (alternating p.d. makes) the crystal vibrate B1 vibrations (of crystal) causes air to vibrate B1 frequency is in ultrasound range B1 7(b)(ii) (air makes) crystal vibrate, which causes an e.m.f. to be generated across the (second) crystal B1 © UCLES 2022 Page 12 of 15

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9702-2023-mj-41-q05

May/June 2023 · Paper 41 · Question 5 · 9 marks
9702-2023-mj-41-q05 official mark scheme page
5(a)(i) correct circuit symbol for a diode shown correctly connected in series with the wires leading into and out of the dotted box B1 5(a)(ii) smoothing / V is smoothed B1 OUT 5(b)(i) frequency = 1 / 0.04 A1 = 25 Hz 5(b)(ii) V = V exp (– t / RC) and  = RC C1 0 or V = V exp (– t / ) 0 3.25 = 5.50 exp (– 0.020 / ) leading to  = 0.038 s A1 5(b)(iii)  = RC C1 capacitance = 0.038 / 14000 A1 = 2.7  10–6 F 5(c) V has constant magnitude in both positive and negative directions B1 IN (so) V is (now) constant / V does not vary with time B1 OUT OUT © UCLES 2023 Page 11 of 16

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9702-2023-mj-42-q07

May/June 2023 · Paper 42 · Question 7 · 10 marks
9702-2023-mj-42-q07 official mark scheme page
7(a)(i) full-wave (rectification) B1 7(a)(ii) lower left diode shown pointing left B1 lower right and upper left diodes shown pointing left B1 7(a)(iii) arrow indicating current direction in resistor to the right B1 7(b)(i) sketch: periodic line showing minimum V = 0 and maximum V = +V B1 OUT OUT 0 line showing peak V at t = 0, 0.5T, 1.0T, 1.5T and 2.0T, with V going to zero half-way in between each peak B1 OUT OUT line showing correct modulated sine shape B1 7(b)(ii) sketch: sinusoidal curve with troughs sitting on the time axis B1 peak power at t = 0, 0.5T, 1.0T, 1.5T and 2.0T and zero power half-way in between each peak B1 7(b)(iii) same power-time graph with or without rectification, so same V B1 rms or V2-time graph is same for both V and V , so same V OUT IN rms or power does not depend on sign of V, so same V rms © UCLES 2023 Page 12 of 15

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9702-2023-mj-43-q05

May/June 2023 · Paper 43 · Question 5 · 9 marks
9702-2023-mj-43-q05 official mark scheme page
5(a)(i) correct circuit symbol for a diode shown correctly connected in series with the wires leading into and out of the dotted box B1 5(a)(ii) smoothing / V is smoothed B1 OUT 5(b)(i) frequency = 1 / 0.04 A1 = 25 Hz 5(b)(ii) V = V exp (– t / RC) and  = RC C1 0 or V = V exp (– t / ) 0 3.25 = 5.50 exp (– 0.020 / ) leading to  = 0.038 s A1 5(b)(iii)  = RC C1 capacitance = 0.038 / 14000 A1 = 2.7  10–6 F 5(c) V has constant magnitude in both positive and negative directions B1 IN (so) V is (now) constant / V does not vary with time B1 OUT OUT © UCLES 2023 Page 11 of 16

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9702-2024-m-42-q04

March 2024 · Paper 42 · Question 4 · 10 marks
9702-2024-m-42-q04 official mark scheme page 9702-2024-m-42-q04 official mark scheme page
4(a) combined capacitance of parallel capacitors = 30 (F) C1 total capacitance = (1 / 45 + 1 / 30)–1 A1 = 18 F 4(b) E = ½CV2 C1 E = ½  45  10–6 (9.62 – 8.02) A1 = 6.3  10–4 J 4(c)(i) gaps in circuit closed and correct symbol for capacitor shown in parallel with load resistor B1 4(c)(ii) two correct pairs of values of t and V read off from within same discharge cycle, e.g. (5.0, 4.0) and (13.0, 3.2) C1 correct substitution of values of V, V and t into V = V exp (–t / ) C1 0 0 e.g. 3.2 = 4.0 exp (–8.0 / )  = 36 ms A1 © Cambridge University Press & Assessment 2024 Page 8 of 14 4(d)(i) 8.0 W A1 4(d)(ii) 4.0 W A1 Question Answer Marks

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9702-2024-on-41-q06

Oct/Nov 2024 · Paper 41 · Question 6 · 11 marks
9702-2024-on-41-q06 official mark scheme page
6(a)(i) conversion (from a.c.) to d.c. B1 6(a)(ii) half-wave: voltage in one direction is removed B1 full-wave: voltage in one direction is reversed B1 6(b)(i) one gap connected by a single diode and other gap connected directly B1 diode drawn (in a circuit) with correct circuit symbol B1 6(b)(ii) smoothing B1 6(c)(i) E = ½CV2 C1 C = 2  0.041 / 122 = 5.7  10–4 F = 570 F A1 6(c)(ii) 8.0 = 12.0 exp (– 0.010 / RC) C1 ln (8.0 / 12.0) = – 0.010 / (R  5.7  10–4) C1 R = 43  A1 © Cambridge University Press & Assessment 2024 Page 11 of 15

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9702-2024-on-42-q08

Oct/Nov 2024 · Paper 42 · Question 8 · 9 marks
9702-2024-on-42-q08 official mark scheme page
8(a) number of cycles per unit time B1 8(b)(i) period = 2 / 40 = 0.050 s = 50 ms A1 8(b)(ii) sinusoidal curve, starting at (0, 0) and initially increasing from there B1 periodic line showing 2 cycles with period 50 ms from t = 0 to t = 100 ms B1 all peaks shown at I = +3.5 A and all troughs shown at I = –3.5 A B1 8(b)(iii) I = 3.5 / √2 A1 r.m.s = 2.5 A 8(c) P = I2R C1 peak power = 3.52  680 (= 8330 W) M1 or mean power = 2.472  680 (= 4170 W) peak and mean powers both calculated correctly, with supporting working, and compared leading to conclusion that mean A1 power is half the peak power © Cambridge University Press & Assessment 2024 Page 12 of 14

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9702-2024-on-43-q06

Oct/Nov 2024 · Paper 43 · Question 6 · 11 marks
9702-2024-on-43-q06 official mark scheme page
6(a)(i) conversion (from a.c.) to d.c. B1 6(a)(ii) half-wave: voltage in one direction is removed B1 full-wave: voltage in one direction is reversed B1 6(b)(i) one gap connected by a single diode and other gap connected directly B1 diode drawn (in a circuit) with correct circuit symbol B1 6(b)(ii) smoothing B1 6(c)(i) E = ½CV2 C1 C = 2  0.041 / 122 = 5.7  10–4 F = 570 F A1 6(c)(ii) 8.0 = 12.0 exp (– 0.010 / RC) C1 ln (8.0 / 12.0) = – 0.010 / (R  5.7  10–4) C1 R = 43  A1 © Cambridge University Press & Assessment 2024 Page 11 of 15

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9702-2025-mj-41-q06

May/June 2025 · Paper 41 · Question 6 · 12 marks
9702-2025-mj-41-q06 official mark scheme page
6(a)(i) conversion from a.c. to d.c. B1 6(a)(ii) smoothing B1 6(b)(i) A = 12 V A1 B = 2 / (20 × 10–3) A1 = 310 rad s–1 6(b)(ii) full-wave (rectification) B1 6(b)(iii) four diodes shown, with correct circuit symbols B1 four diodes correctly connected to form a bridge rectifier B1 6(b)(iv) V = V exp (–t / ) C1 0 or V = V exp (–t / RC) and  = RC 0 8.0 = 12 exp (– 7.3 × 10–3 / ) C1  = 0.018 s A1 6(c) time constant = RC C1 R = (0.018 / 570 × 10–6) A1 = 32  © Cambridge University Press & Assessment 2025 Page 14 of 19

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9702-2025-mj-42-q08

May/June 2025 · Paper 42 · Question 8 · 10 marks
9702-2025-mj-42-q08 official mark scheme page
8(a)(i) half-wave (rectification) B1 8(a)(ii) A1 V = 6.0 × 2 0 = 8.5 V 8(b)(i) P = V2 / R C1 P = 8.52 / 45 A1 0 = 1.6 W 8(b)(ii) two humps of width 0.5T and two sections of zero power of width 0.5T B1 all humps drawn have width 0.5T, minima at P = 0 and peaks at P = P B1 0 correct sinusoidal shape, with smooth troughs sitting on t-axis at P = 0 B1 8(b)(iii) 1 B1 mean power within each hump is P from the symmetry of the curve 2 0 additional half factor from removal of half of the power in each cycle B1 8(b)(iv) 〈P〉 = V 2 / R A1 r.m.s. V = (1.6/4)45 r.m.s.   = 4.2 V © Cambridge University Press & Assessment 2025 Page 16 of 18

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9702-2025-mj-43-q06

May/June 2025 · Paper 43 · Question 6 · 12 marks
9702-2025-mj-43-q06 official mark scheme page
6(a)(i) conversion from a.c. to d.c. B1 6(a)(ii) smoothing B1 6(b)(i) A = 12 V A1 B = 2 / (20 × 10–3) A1 = 310 rad s–1 6(b)(ii) full-wave (rectification) B1 6(b)(iii) four diodes shown, with correct circuit symbols B1 four diodes correctly connected to form a bridge rectifier B1 6(b)(iv) V = V exp (–t / ) C1 0 or V = V exp (–t / RC) and  = RC 0 8.0 = 12 exp (– 7.3 × 10–3 / ) C1  = 0.018 s A1 6(c) time constant = RC C1 R = (0.018 / 570 × 10–6) A1 = 32  © Cambridge University Press & Assessment 2025 Page 14 of 19

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9702-2025-on-42-q07

Oct/Nov 2025 · Paper 42 · Question 7 · 8 marks
9702-2025-on-42-q07 official mark scheme page
7(a)(i) T = 2 / 40 = 0.050 s A1 7(a)(ii) V = 18 / √2 A1 r.m.s. = 13 V 7(b) sinusoidal curve of period 50 ms from t = 0 to t = 100 ms B1 correct phase (V at t = 0, 50, 100 ms and –V at 25, 75 ms etc.) B1 MAX MAX maximum and minimum voltages shown as 18 V B1 7(c) Any three points from: B3 • rectification is full-wave • mean power = 14 W • resistance of R = 12  • peak current in R = 1.6 A or r.m.s. current in R = 1.1 A • period of output voltage / power = 25 ms or frequency of output voltage / power = 40 Hz or angular frequency of output voltage / power = 250 rad s–1 © Cambridge University Press & Assessment 2025 Page 14 of 17

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