A parallel plate capacitor of capacitance \( 10 \mu \mathrm{F} \) is connected to a cell of emf ...

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A parallel plate capacitor of capacitance \( 10 \mu \mathrm{F} \) is connected to a cell of emf \( 10 \mathrm{~V} \) and is fully charged. Now a dielectric slab \( (k=3) \) of thickness equal to the gap between the plates is completely filled in the gap, keeping the cell connected. During the filling process,
(1) the increase in charge on the capacitor is \( 200 \mu \mathrm{C} \)
(2) the heat produced is zero
(3) energy supplied by the cell = increase in stored potential energy + work done on the person who is filling the dielectric slab
(4) energy supplied by the cell = increase in stored potential energy + work done on the person who is filling the dielectric slab \( + \) heat produced
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