- #1

JoeyBob

- 256

- 29

- Homework Statement
- See attached

- Relevant Equations
- frequency=1/T T=2pi/w

So since V(cap) + V(ind)=0 then Q/C + L dI/dt=0

Now since I=dQ/dt, I can replace dI/dt with d^2Q/dt^2 resulting in Q/C + L d^2Q/dt^2 =0

Now L d^2Q/dt^2 looks like a harmonic motion thing I can solve, where w^2=L. This means I can find w. I get 0.0005385.

Now my issue is using this w gives the wrong frequency (the frequency is supposed to be 5.22 in MegaHertz). I obviously didnt use the first part of the equation with Q/C in any manner. I don't see how I can use Q/C in the harmonic motion equation with L d^2Q/dt^2 to find a different w.

Now since I=dQ/dt, I can replace dI/dt with d^2Q/dt^2 resulting in Q/C + L d^2Q/dt^2 =0

Now L d^2Q/dt^2 looks like a harmonic motion thing I can solve, where w^2=L. This means I can find w. I get 0.0005385.

Now my issue is using this w gives the wrong frequency (the frequency is supposed to be 5.22 in MegaHertz). I obviously didnt use the first part of the equation with Q/C in any manner. I don't see how I can use Q/C in the harmonic motion equation with L d^2Q/dt^2 to find a different w.

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