A 24p F capacitor is connected to a 100V battery. How much electrostatic energy is stored in the capacitor.?
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Actually Welcome to the Concept of the Capacitors and Electrostatics.
Since, we know the basic formula for a capacitor is,
=> Q = CV
where, Q is the charge in the capacitor, C is the equivalent capacitance and V is the Voltage applied.
For the energy stored in the capacitor we use the formula as,
W = VQ, hence we would write as, Q = W/V
where, W = Work done by the unity charge,
hence,after integration we derive the formula as,
=> W = (1/2)*C*V^2
so now we get as,
W = (1/2)*(24*10^-12)(100^2)
W = (1/2)(24*10^-8)
W = 12 * 10^-8 joules
hence, the work done is, 0.12 micro joules.
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