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In the circuit shown above, the cells are ideal and of equal emfs, the capacitance of the capacitor is C and the resistance of the resistor is R. X is first joined to Y and then to Z. After a long time, the total heat produced in the resistor will be (a) equal to the energy finally stored in the capacitor (b) half the energy finally stored in the capacitor (c) twice the energy finally stored in the capacitor (d) four times the energy finally stored in the capacitor |
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Answer» Correct Answer is: (d) four times the energy finally stored in the capacitor The charge on the capacitor will change from -ℰC to +ℰC, where ℰ = emf of each cell. ∴ total charge flowing through the cell B is 2ℰC. ∴ total energy supplied by B is 2ℰ2C. The energy finally stored in the capacitor is ℰ = 1/2 ℰ2C. ∴ heat produced = 2ℰ2C = 4ℰ. |
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