Help Solve Inductor Circuit Problem for Test Tomorrow

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An AM radio antenna with an inductance of 0.90 mH induces a current of 5.2 nA at a frequency of 1.2 MHz. The user calculates the angular frequency using w=2*Pi*f and finds the reactance of the inductor with the formula XL=wL. They then determine the induced voltage using V=IR, where R is calculated from the reactance. The discussion confirms the user's approach is correct, emphasizing the importance of unit conversion. The conversation highlights the steps needed to solve the inductor circuit problem for an upcoming test.
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Please Help! Inductor Circuit



An AM radio antenna has the shape of a coil with inductance 0.90 mH. A radio wave with frequency 1.2 MHZ induces a current of amplitude 5.2 nA in the coil. What is the amplitude of the induced voltage across the coil?

I really need your help. It's going to be on the test for tomorrow. Thanks in advance.

This is what I did, I'm not sure of it.

First, we get "w" from the frequency from equation w=2*Pi*f.

Next we find the reactance of the inductor as it matches the resistor.

XL=wL which eqauls the resistor R.

Then the induced voltage is simply V=IR. We already have the current and we calculated R.

Am I right? Please Help me out.
 
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YOU ARE RIGHT...

:rolleyes: GOOD JOB
 
Thanks. All I have to watch out for is converting the units.
 
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