An LC circuit oscillates at a frequency of 178 kHz If the ca

An LC circuit oscillates at a frequency of 17.8 kHz. If the capacitance is 336 mF, what is the inductance? If the maximum current is 7.63 mA, what is the total energy in the circuit? What is the maximum charge on the capacitor?

Solution

frequency = 1/2pi*sqrt(LC)

=> sqrt(LC) = 1/(2*3.14*17.8*10^3)

=> L =   2.381*10^-10 H

b) total energy = 1/2*L*Imax^2 = 1/2*2.381*10^-10*(7.63*10^-3)^2 = 6.930*10^-15 J

c) total energy = Qmax^2/2C

=> sqrt ( 6.930*10^-15*2*336*10^-3 ) = Qmax

=> Qmax = 6.824*10^-8 C