What is the maximum current flowing through the circuit?

In an LC circuit, the self-inductance is
L=.0×10⁻² H
and the capacitance is
C=.0×10⁻⁶ F.

At t=0, all of the energy is stored in the capacitor, which has a charge
q=×10⁻⁵ C. 

(a) What is the angular frequency ω of the oscillations in the circuit?

(b) What is the maximum current I₀ flowing through the circuit?

(c) How long does it take the capacitor to become completely discharged? t_d=?

(d) What is the capacitor charge in µC when time t = ×10⁻⁴s?

Solution:

(b) The current is at its maximum when all the energy is stored in the inductor. From the law of energy conservation:


(c) The capacitor becomes completely discharged in one-fourth of a cycle, or during a time T/4, where T is the period of the oscillations. Since

(d) q=q₀ × cos(ω t)



 ω= rad/s
  I₀= A
t_d= s
q(t)= µC