Correct Answer - Option 3 : 112.5 kW
Concept:
Energy stored in condenser:
A capacitor is a device which stores energy in the form of charge.
The process of charging up a capacitor involves the transferring of electric charges from one plate to another.
The energy stored in the capacitor is;
\(U = \;\frac{1}{2}\frac{{{Q^2}}}{C} = \frac{1}{2}C{V^2} = \frac{1}{2}QV\) ----(1)
Where,
Q = charge stored on the capacitor
U = energy stored in the capacitor
C = capacitance of the capacitor
V = Electric potential difference
Energy: The ability to do work is defined as Energy.
Power: It is defined as the ratio of work done to that of the time taken
Power = work / time
So, Energy = Power × Time ----(2)
Calculation:
Given:
C = 50μf, V = 3000V, t = 2 ms
From equation (1);
\(U=\frac{1}{2}\times50\times 10^{-6}\times(3000)^2\)
U = 225 J
From equation (2);
\(Power = \frac{225}{2\times 10^{-3}}\)
Power = 112.5 KilloWatt
