Frequency of A Common Circuit

[Bret Cahill]

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

 

[Bret Cahill]

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)

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