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Question

An inductor and a resistor in series are connected to an A.C. supply of variable frequency. As the frequency of the source is increased, the phase angle between current and the potential difference across L will:
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A
First increase and then decrease
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B
First decrease and then increase
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C
Go on decreasing
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D
Go on increasing
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Solution

The correct option is A Go on increasing
Let the frequency of the source be f.
Inductive reactance XL=wL=2πfL
Resistance of the resistor =R
Using tanϕ=XLR
tanϕ=2πfLR
With increase in frequency, tanϕ will increases and so ϕ wil increase.
So, the phase angle between current and potential difference will increases on increasing the frequency.

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