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Q.

A coil of self – inductance $(\frac{1}{π})$ H is connected in series with a $300 Ω$ resistance. A voltage of 200 V at frequency 200 Hz is applied to this combination. The phase difference between the voltage and the current will be

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a

$\tan^{- 1} (\frac{3}{4})$

b

$\tan^{- 1} (\frac{1}{4})$

c

$\tan^{- 1} (\frac{5}{4})$

d

$\tan^{- 1} (\frac{4}{3})$

answer is A.

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Detailed Solution

$tan ϕ = \frac{X_{L}}{R} = \frac{L ω}{R} = \frac{L × 2πf}{R} ϕ {= tan}^{-1} (\frac{4}{3})$

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