circuit consists: a battery with 150 Volts, a capacitor with 0.02 Farads, an inductor at 2 Henry, and a resistance 16 Ohms. Initially, the charge on the capacitor and the current in the circuit are zero.
(i) Let q(t) Coulombs be charge on capacitor at time t (sec). Prove q satisfies differential equation
d2q/dt2 + 8dq/dt + 25q = 75:
(ii) Find general solution
(iii) Find particular solution
(iv) find charge q(t) on capacitor at time t.
v) Find smallest positive value of t for which q(t) = 3?
(vi) find steady-state solution for the charge on the capacitor if voltage is 150 sin 5t volts

Question

circuit consists: a battery with  150 Volts, a capacitor with 0.02 Farads, an inductor at 2 Henry, and a resistance 16 Ohms. Initially, the charge on the capacitor and the current in the circuit are zero.
(i) Let q(t) Coulombs be charge on capacitor at time t (sec). Prove q satisfies differential equation
d2q/dt2 + 8dq/dt + 25q = 75:
(ii) Find general solution 
(iii) Find particular solution 
(iv) find charge q(t) on capacitor at time t.
v) Find smallest positive value of t for which q(t) = 3?
(vi) find steady-state solution for the charge on the capacitor if voltage is 150 sin 5t volts

anonymous · Answer

RLC Circuit , fun stuff