- #1

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_{1}and θ.

The circuit is AC so do I treat it the same as an SHM question? Is π/2? And what do I need to do to find I

_{1}? I don't know where to start.

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- Thread starter kate12
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- #1

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The circuit is AC so do I treat it the same as an SHM question? Is π/2? And what do I need to do to find I

- #2

ehild

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What is the circuit? You need its complex impedance to find I_{1} and θ.

ehild

ehild

- #3

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Ohh. The circuit is like this one:

with no values given.

with no values given.

- #4

ehild

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What is the impedance in terms of R, L, and C?

ehild

ehild

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Last edited:

- #6

ehild

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OK, collecting the imaginary terms, it is Z=R+i(ωL -1/ωC ). This is a complex number. You can write it in exponential form:

Z=|Z|e^{iψ} (How?).

The complex voltage is V=V_{1}e^{iωt}

Use the equation I=V/Z to find the complex current.

ehild

Z=|Z|e

The complex voltage is V=V

Use the equation I=V/Z to find the complex current.

ehild

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- #7

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I=VOK, collecting the imaginary terms, it is Z=R+i(ωL -1/ωC ). This is a complex number. You can write it in exponential form:

Z=|Z|e^{iωt}(How?).

The complex voltage is V=V_{1}e^{iωt}

Use the equation I=V/Z to find the complex current.

ehild

But that gives me I

Last edited:

- #8

ehild

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I=V_{0}/|Z| ?

But that gives me I_{0}= V_{0}/|Z|e^{i(ωt+θ)}.

You used I

I=V/Z . Z=|Z|e

That means

I

Simplify with e

I

The magnitudes and phases have to be the same on both sides.

ehild

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