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An ac source is connected in the given circuit ($\left(\dfrac{1}{\pi}\right)H$ inductor in series with 100 $\Omega$ resistor). The value of $\phi$ will be: [given $V=220\sin(100\pi t+\phi)$ volt] [add image]
A
$60^\circ$
B
$90^\circ$
C
$30^\circ$
D
$45^\circ$
Detailed Solution
$\tan\phi=\dfrac{X_L}{R}$. $X_L=\omega L=100\pi\times\dfrac{1}{\pi}=100\ \Omega$. $R=100\ \Omega$. $\tan\phi=\dfrac{100}{100}=1\Rightarrow\phi=45^\circ$.