A capacitor of capacitance C is charged to a potential V. Now it is connected to a battery of e.m.f E as shown in the figure:
Column-I | Column-II |
(i) If V = E, then | [A] non-zero charge is supplied by the +ve terminal of battery to+ve plate of capacitor |
(ii) If V > E | [B] Zero charge is supplied by + ve terminal of battery to +ve plate of capacitor |
(iii) If V < E, then | [C] non-zero thermal energy will be dissipated in the circuit |
(iv) If V E, then | [D] outer surfaces of the plates of capacitor have zero charge |
Text Solution
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Ans.
(i) [B],[D]
(ii) [C],[D]
(iii) [A],[C],[D]
(iv) [A],[C],[D]
Sol.
For A: As potential difference across the apacitor is same as that of e.m.f of battery, no charge will be supplied by battery and hence work done by battery = 0
U i = U f so Δ H = 0
In all cases, zero charge appears on outer surfaces of the plates of capacitor.
For B: As V > E, so capacitor charges the battery and hence thermal energy will be developed in circuit.
For C: As V < E so battery performs some work on the capacitor.
For D: Combination of B and C.
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