A 1E-6 F capacitor has a charge of 10.0 microC. It is connected to a 1.0 H inductor at t 0. What is the potential energy of the capacitor and the potential energy of the inductor at t 1 second?
The angular velocity (omega) here sqrt(1/LC) sqrt(1/(1x10^-6*1) 1000 rad/s Q0 10^x10^-6C Now the charge on a capacitor in an LC oscillator q Q0*cos(omega*t) 10.x10^-6*cos(1000*1) 5.62x10^-6C So the energy q^2/2C (5.62x10^-6)^2/(2*1x10^-6) 1.58x10^-5J Now the current i -omega*Q0*sin(omega*t) -1000*10x10^-6*sin(1000) -0.00827A Energy in an inductor 1/2*l*i^2 1/2*1.0*(0.00827)^2 3.42x10^-5J
