Which of the…correct definition of the reactance of an inductor L?
Which of the following equations is the correct definition of the reactance of an inductor L?
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:
- Option A is correct. the unit of this expression is rightly in ohms.
- Option B is incorrect. the unit of voltage X current is watt and not ohms.
- C is incorrect. the unit here is certainly not ohms.
- D is not the correct answer. the unit here too is not ohms.
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 /