First slide
Power in a.c. circuit
Question

The potential difference V and the current i flowing through an instrument in an AC circuit of frequency/are given by V=5cos(ωt) volts  and I=2sin(ωt) amperes (where ω=2 πf ).  The power dissipated in the instrument is

Easy
Solution

V=5cosωt=5sinωt+π2  and  i=2sinωt

Power Vrms × irms × cosϕ=0 

(Since ϕ=π2, therefore cosϕ=cosπ2=0

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