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# Power factor of pure inductor and pure capacitor circuit is A. One B. ZeroC. $\pi$D. More than zero

Last updated date: 13th Jun 2024
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Hint: Power factor is the product of root mean square values of voltage and current and the cosine of the angle between the voltage and the current. Power factors always depend on the relationship between the phase angle of voltage and current.

Formula used:
The formula used for calculating the power factor of pure inductor and pure capacitor is given below
$P = {V_{rms}}\,{I_{rms}}\,\cos \phi$
Here, $P$ is the power factor, ${V_{rms}}$ is the root mean square value of voltage, ${I_{rms}}$ is the root mean square value of current and $\phi$ is the angle between the voltage and the current.

Power factor is the product of root mean square values of voltage and current and the cosine of the angle between the voltage and the current. Now, we know that, in the case of a pure inductor or pure capacitor, the phase angle between the voltage and the current is $90^\circ$. Now, the formula used for calculating the power factor of pure inductor and pure capacitor is given below
$P = {V_{rms}}\,{I_{rms}}\,\cos \phi$
Here, $P$ is the power factor, ${V_{rms}}$ is the root mean square value of voltage, ${I_{rms}}$ is the root mean square value of current and $\phi$ is the angle between the voltage and the current.
$\Rightarrow \,P = {V_{rms}}\,{I_{rms}}\,\cos 90^\circ$
$\therefore\,P = 0$