If the phase difference between the emf and the current in an AC circuit is $f$ then the RMS value of wattless current will be

I_{r m s} c o s f

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I_{r m s} s i n f

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I_{r m s} t a n f / 2

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Solution

The correct option is B $I_{r m s} s i n f$
Wattless current is the component of current that produces no real power.
Real power is produced by the component of current in phase with the voltage.
Wattless current is the component of current perpendicular to the voltage.
As the phase difference between the voltage and current is $f$ , the wattless current is = $I_{r m s} s i n (f)$

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