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A parallel plate of capacitance C0 is connected to a power supply V0. A dielectric slab of dielectric constant K=5 is now inserted into the gap between the plates. (a) find the extra charge flown through the power supply and work done by the supply. (b) find change in energy stored in capacitor and heat produced in connecting wires.

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(a) Here, potential of capacitor remains same
Q1=C0V0,Q2=KC0V0
Extra charged supplied by battery
ΔQ=Q2Q1=(K1)C0V0=4C0V0
Work done by supply
Wb=ΔQV0=4C0V20
(b) Ui=12C0V20,Uf=12KC0V20
ΔU=UfUi=12(K1)C0V20=2C0V20
Wb=ΔU+H,
Where H : heat produced in connecting wires,
H=WbΔU=4C0V202C0V20=2C0V20
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Updated on:21/07/2023

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