Question

Consider an RLC circuit with resistance 21Ω, inductance 0.1H, capacitance 2500μF, and an impressed voltage, provided by an alternating current generator, with V=75V, 120Hz.

At t=0 V=0V, Q=4C, I=1A.

a. Complete the ODE below in terms of the charge in the circuit Q(t): Q’’ + Q’ + Q

L = 0.1 henrys

R = 21 ohms

C = 0.0025 farads

Substitute values in equation: , V = 75V

V

Q” + 210Q’ + 4000Q = 750V

b. Solve the ODE and complete the equation for the charge Q(t).

Solve using the following formula:

Answer #1

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