A current of frequency (25)/π Hz is passing through an A.C. circuit having a series combination of R=100 Ω and L=2 H. The phase difference between voltage and current is .

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(4) 45°. Given: f=(25)/π Hz, R=100 Ω, L=2 H. Angular frequency: ω=2π f=2π×(25)/π=50 rad s⁻¹. Inductive reactance: X_L=ω L=50×2=100 Ω. Idea: in a series R–L circuit the voltage leads the current by φ, where tan φ=(X_L)/R. tan φ=(100)/(100)=1⇒φ=45°. So the phase difference is 45°.

A current of frequency (25)/π Hz is passing through an A.C. circuit having a series combination of R=100 Ω and L=2 H. The phase difference between voltage and current is ______.

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