Question

Consider an RLC circuit with resistance 21Ω, inductance 0.1H, capacitance 2500μF, and an impressed voltage, provided...

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:

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