When an inductor L and a resistor R in series are connected across a 12 V, 50 Hz supply, a current of 0.5 A flows in the circuit. The current differs in phase from applied voltage by $\pi/3$ radian. Calculate the value of R.
CBSE OUTSIDE DELHI - SET 1 2006
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Method – I
$\text{Z} =\text{E}/\text{I}$
Calculation of $\text{Z} =\frac{12}{0.5}= 24\Omega$
$\cos\phi = \frac{\text{R}}{\text{Z}}$
Calculation of R = 12Ω.
Method – II
$\text{Z} = \text{E}/\text{I}$
Z = 24Ω
$\tan \phi = \frac{\text{X}_{L}}{\text{R}}$
R = 12Ω.
$\text{Z} =\text{E}/\text{I}$
Calculation of $\text{Z} =\frac{12}{0.5}= 24\Omega$
$\cos\phi = \frac{\text{R}}{\text{Z}}$
Calculation of R = 12Ω.
Method – II
$\text{Z} = \text{E}/\text{I}$
Z = 24Ω
$\tan \phi = \frac{\text{X}_{L}}{\text{R}}$
R = 12Ω.
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