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Physics

CAIE2024

2 capacitors in parallel C = C + C + ...

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Physics

CAIE2024

1 1 capacitors in series = + + ... C C C

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Physics

CAIE2024

2 capacitors in parallel C = C + C + ...

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Physics

CAIE2024

V p.d. Fig. 7.1 [2] (ii) Determine an expression, in terms of Q and V, for the work W done on capacitor X during the charging process. Explain your reasoning. W = ......................................................... [2] (cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:181)(cid:260)(cid:215) © UCLES 2024 (cid:300)(cid:236)(cid:187)(cid:250)(cid:206)(cid:289)(cid:296)(cid:286)(cid:214)(cid:268)(cid:258)(cid:263)(cid:243)(cid:201)(cid:258)(cid:201)(cid:280)(cid:258) 9702/42/O/N/24 (cid:293)(cid:197)(cid:181)(cid:213)(cid:245)(cid:277)(cid:293)(cid:181)(cid:213)(cid:213)(cid:181)(cid:261)(cid:261)(cid:181)(cid:293)(cid:181)(cid:293)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD PMT * 0000800000017 *

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Physics

CAIE2024

(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44) (c) Another capacitor Y is initially uncharged. The fully charged capacitor X in (b) is now connected to capacitor Y, as shown in Fig. 7.2. X Y Fig. 7.2 The capacitance of capacitor Y is 3C. (i) Complete Table 7.1 to show expressions, in terms of Q and V, for the final p.d.s across, and the final charges on, the two capacitors. Use the space below for any working that you need. Table 7.1 X Y final p.d. final charge [3] (ii) State whether the total energy stored in the two capacitors is less than, the same as, or greater than the energy initially stored in capacitor X. ..................................................................................................................................... [1] [Total: 10] © UCLES 2024 (cid:300) (cid:300) (cid:207) (cid:236) (cid:266) (cid:188) (cid:190) (cid:249) (cid:288) (cid:214) (cid:180) (cid:295) (cid:237) (cid:300) (cid:200) (cid:270) (cid:245) (cid:227) (cid:207) (cid:238) (cid:298) (cid:239) (cid:197) (cid:194) (cid:266) (cid:231) (cid:223) (cid:177) (cid:249) (cid:214) (cid:181) (cid:201) (cid:260) (cid:296) (cid:215) (cid:258) 9702/42/O/N/24 [Turn over (cid:293)(cid:197)(cid:197)(cid:277)(cid:181)(cid:245)(cid:261)(cid:213)(cid:197)(cid:229)(cid:293)(cid:261)(cid:261)(cid:213)(cid:261)(cid:245)(cid:245)(cid:213) NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD NIGRAM SIHT NI ETIRW TON OD PMT * 0000800000018 *

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Physics

Edexcel2024

P74468A *P69442A02832*  PMT Further mechanics Energy stored in a capacitor

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Physics

CAIE2024

2 capacitors in parallel C = C + C + ...

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Physics

CAIE2024

1 1 capacitors in series = + + ... C C C

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Physics

CAIE2024

1 1 capacitors in series = + + ... C C C

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Physics

CAIE2023

V simple harmonic motion a = -ω2x velocity of particle in s.h.m. v = v cosωt o ( ) v = ±ω x2 − x2 o Q electric potential V = 4πε r ο capacitors in series 1/C = 1/C + 1/C + ....

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Physics

CAIE2023

2 capacitors in parallel C = C + C + ....

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Physics

CAIE2023

2 energy of charged capacitor W = 1/ QV

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Physics

Edexcel2023

)' !"#

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%&'+()*"!+,"-(."/"-(0(1*/#',"*(23)(4'(!56%4,%( 7#89-"(1%%"%%8"':(;#:"4#-%(<(=%%>"(?(<(@,:&A"(BC?D(E(!"#%&'()*>,#:4&'(.484:"*(BC?D ((cid:69)(cid:12) A capacitor is discharged thro(cid:88)gh a resistor of resistance (cid:28)00 (cid:159). (cid:55)he graph sho(cid:90)s !"#%!&'!()*&"+

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Physics

Edexcel2023

*P71915A02528*  Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA AERA SIHT NI ETIRW TON OD AERA SIHT NI ETIRW TON OD AERA SIHT NI ETIRW TON OD PMT Further mechanics Energy stored in a capacitor

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Physics

Edexcel2023

*P71915A02128*  Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA AERA SIHT NI ETIRW TON OD AERA SIHT NI ETIRW TON OD AERA SIHT NI ETIRW TON OD PMT (b) A spreadsheet is used to model how the current I in the 1 mF capacitor varies with t. Six rows of the spreadsheet are shown below. A B C D E F G t / s Δt / s V / V Q / C Q / C ΔQ / C I / A initial final

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Physics

Edexcel2023

005 0.01 0.015 0.02 0.025 0.03 –2 t / s –4 –6 The corresponding graph of V against t is also shown as a continuous line. Deduce whether the capacitor dissipates power over one cycle of the a.c. supply. (4) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. (Total for Question 18 = 13 marks) TOTAL FOR PAPER = 90 MARKS

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Physics

Edexcel2023

The circuit shows a 1 mF capacitor connected to an a.c. supply. The graph shows how the potential difference V varies with time t.

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Physics

Edexcel2022

(3) ................................................................................................................................................................................................................................................... ................................................................................................................................................................................................................................................... ................................................................................................................................................................................................................................................... ................................................................................................................................................................................................................................................... ................................................................................................................................................................................................................................................... ................................................................................................................................................................................................................................................... (ii) A capacitor is added between points X and Y in the circuit. The new graph of V against time is shown below. out

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Physics

Edexcel2022

*P69306A02628* PMT Further mechanics Energy stored in a capacitor

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Physics

Edexcel2021

*P67096A03032* PMT Further mechanics Energy stored in a capacitor

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Physics

Edexcel2021

A capacitor is connected to a power supply and charged to a potential difference V .

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Physics

Edexcel2021

a small increase in potential difference ∆V across the capacitor. Which of the following gives the approximate increase in energy stored on the capacitor due to this extra charge? A ∆V × ∆Q × ΔV ΔQ B

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Physics

Edexcel2020

*P61864RA02728* Turn over PMT Further mechanics Energy stored in a capacitor

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Physics

Edexcel2020

The properties of capacitors make them useful in timing circuits. The following circuit is used to provide an input Y to an integrated circuit.

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Physics

Edexcel2020

(i) Calculate the time taken for the potential at Y to decrease to 2.0 V. (3) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. Time taken = ...................................................... (ii) Calculate the energy stored on the capacitor when the potential at Y is 2.0 V. (2) .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. .................................................................................................................................................................................................................................................. Energy stored = ...................................................... (c) When the potential at Y is 2.0 V, the switch S is opened.

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Physics

CAIE2016

2 capacitors in parallel C = C + C + . . .

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Physics

CAIE2016

energy of charged capacitor W = QV

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Physics

CAIE2016

capacitors in series 1/C = 1/C + 1/C + . . .

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