Answer :


Given


Area, A=25 cm2 =25×10-4 m2


Voltage, V=6V


The separation between the plates is d= 1mm=1×10-3



Formula used:


When a capacitor is connected to a capacitor, the charge can be calculated



Where


Q is the charge of the capacitor


C is the capacitance of the capacitor


V is the Voltage or potential difference across the plates of the capacitor.


Capacitance C can be calculated by the formula



Where


C is the capacitance of the capacitor


D is the separation between the capacitor plates


A is the area of a circular plate capacitor


ε₀ is the permittivity of the free space,




When the capacitor is connected to a 6V battery, Charge flow through the battery is the same as the charge that can be withstand with the capacitor.


Substitute the value of C in 1)




Work is done by the battery



Where


W is the work done by the battery


Q is the charge on the plates of the capacitor


V is the voltage across the plates of the capacitor





Charge flows through the battery is and work done by the battery is =8×10-10 J


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