Two identical capacitors, each of capacitance \(C\), are connected in series and are charged by means of an ideal battery of emf \(E\). They are disconnected and reconnected in parallel and connected to the same battery. During this reconnection, the positive terminals of the capacitors are connected to the positive terminal of the battery and their negative terminals are similarly connected together. Let, the work done by the battery during the first connection be \(W_1\), and during the second be \(W_2\). Then,
1.
\(W_1=W_2\)
2.
\(2W_1 =W_2\)
3.
\(W_1 = 2W_2\)
4.
\(4W_1 = W_2\)
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Subtopic: Â Energy stored in Capacitor |
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A capacitor is charged up to a voltage \(V_0.\) Thereafter, \(50\%\) of the charge is taken from the positive plate and placed on the negative plate, slowly. If the initial energy stored in the capacitor was \(E_0,\) the magnitude of work done during the removal of \(50\%\) of the charge, is:
1. \(\dfrac{E_0}{2}\)
2. \(\dfrac{E_0}{4}\)
3. \(\dfrac{3E_0}{4}\)
4. \(\dfrac{3E_0}{8}\)
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Subtopic: Â Energy stored in Capacitor |
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