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Frequency of A Common Circuit

L1q1''(t) + L3q1'(t) + L3R2[q1'(t) - q2'(t)] + q1(t)/C1 + (q1(t)-q2 (t))/C2 = En sin (omega t)

L2q2''(t) + L3R2 (q2'(t) - q1'(t)) + [q2(t) - q1(t)]/C2 = Em sin ( omega t + phi)

R= resistance L = indunctance C = capacitance q = charge E = voltage omega = angular speed, rad/sec. t = time

What is the frequency of the 2nd loop?

This differential equation set is very common in the activities of humans.

Bret Cahill

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Bret Cahill
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Correction:

L1q1''(t) + R1q1'(t) + R2[q1'(t) - q2'(t)] + q1(t)/C1 + (q1(t)-q2(t))/ C2 = En sin (omega t)

L2q2''(t) + R2 (q2'(t) - q1'(t)) + [q2(t) - q1(t)]/C2 = Em sin (omega t + phi)

Reply to
Bret Cahill

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