Three capacitors each of capacitance \(12\,\mu F\), are connected in series. When this combination is connected to a battery of \(12\,V\), the charge drawn from the battery is
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- \(32\,\mu C\)
- \(24\,\mu C\)
- \(48\,\mu C\)
- \(16\,\mu C\)
- \(12\,\mu C\)
The Correct Option is C
Solution and Explanation
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A circuit consisting of a capacitor C, a resistor of resistance R and an ideal battery of emf V, as shown in figure is known as RC series circuit.
As soon as the circuit is completed by closing key S₁ (keeping S₂ open) charges begin to flow between the capacitor plates and the battery terminals. The charge on the capacitor increases and consequently the potential difference Vc (= q/C) across the capacitor also increases with time. When this potential difference equals the potential difference across the battery, the capacitor is fully charged (Q = VC). During this process of charging, the charge q on the capacitor changes with time t as
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