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In: Advanced Math

Suppose an electrical circuit contains a 1 H inductor, a 10 Ω resistor and a capacitor...

Suppose an electrical circuit contains a 1 H inductor, a 10 Ω resistor and a capacitor rated at 1/7 F. If the circuit is hooked up to an alternating voltage source described by E(t) = 68 cost V and initially q(0) = 1 C and i(0) = 0 A, find a function that describes the charge as a function of time.  Lq'' + Rq' + q/C = E(t).  

Please show work using a complementary and particular solution if possible.

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Expert Solution

Colby Messinger answered 1 year ago
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