Help Solve Inductor Circuit Problem for Test Tomorrow

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SUMMARY

The discussion focuses on calculating the induced voltage across an inductor in an AM radio antenna circuit with an inductance of 0.90 mH and a frequency of 1.2 MHz. The user correctly applies the formula for angular frequency, w = 2πf, to find the reactance of the inductor using XL = wL. The induced voltage is then calculated using Ohm's Law, V = IR, where the current is given as 5.2 nA. The key takeaway is the importance of unit conversion in these calculations.

PREREQUISITES
  • Understanding of inductance and reactance in electrical circuits
  • Familiarity with Ohm's Law and its application
  • Knowledge of angular frequency calculation
  • Basic unit conversion skills in electrical engineering
NEXT STEPS
  • Study the principles of inductors and their behavior in AC circuits
  • Learn about the relationship between frequency, inductance, and reactance
  • Explore advanced applications of Ohm's Law in circuit analysis
  • Review unit conversion techniques specific to electrical engineering
USEFUL FOR

Electrical engineering students, hobbyists working with radio frequency circuits, and anyone preparing for tests involving circuit analysis and inductors.

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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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