First slide

Phasors and Phasor Diagrams

Question

A resistance of $300 Ω$ and an inductance of $\frac{1}{π}$ henry are connected in series to an AC voltage of 20 volts and 200 Hz frequency. The phase angle between the voltage and current is

Moderate

A

$\tan^{- 1} \frac{4}{3}$
B

$\tan^{- 1} \frac{3}{4}$
C

$\tan^{- 1} \frac{3}{2}$
D

$\tan^{- 1} \frac{2}{5}$

Solution

Phase angle, $tanϕ = \frac{ωL}{R} = \frac{2 π \times 200}{300} \times \frac{1}{π} = \frac{4}{3}$
$∴ ϕ = \tan^{- 1} \frac{4}{3}$

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