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Question: A coil of 200Ω resistance and 1.0 H inductance is connected to an ac source of frequency \(200 ⥂ / ⥂...

A coil of 200Ω resistance and 1.0 H inductance is connected to an ac source of frequency 200/2πHz.200 ⥂ / ⥂ 2\pi Hz. Phase angle between potential and current will be

A

30o

B

90o

C

45o

D

0o

Answer

45o

Explanation

Solution

tanφ=XLR=2πνLR=2π×2002π×1200=1φ=45o\tan\varphi = \frac{X_{L}}{R} = \frac{2\pi\nu L}{R} = \frac{2\pi \times \frac{200}{2\pi} \times 1}{200} = 1 \Rightarrow \varphi = 45^{o}