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Which of the…correct definition of the reactance of an inductor L?

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PHYSICS

Which of the following equations is the correct definition of the reactance of an inductor L?

QUICK ANSWER…

A

DETAILS…

Please don’t be confused by the terms: amplitude of voltage and amplitude of current.

  • Amplitude of voltage here simply means maximum or peak voltage.
  • Amplitude of current here simply means maximum or peak current.

Now even without solving further, you should quickly know that option A is the answer… I will explain.

Reactance of an inductor simply means the resistance offered by the inductor which is measured in ohms. So, our answer should be in ohms.

We know that for a circuit containing a resistor,

voltage = current X resistance

but in this question, we are only asked about inductor and not a resistor, hence,

Now for the right answer to the above question:

  1. Option A is correct. the unit of this expression is rightly in ohms.
  2. Option B is incorrect. the unit of voltage X current is watt and not ohms.
  3. C is incorrect. the unit here is certainly not ohms.
  4. D is not the correct answer. the unit here too is not ohms.

HELPFUL TIPS…

You may please note these/this:

  • You can quickly choose the right answer by seeking for the expression that will give same unit with the reactance which is usually in ohms.

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/ culled from 2019 JAMB-UTME physics question 13 /

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