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Question

A sinusoidal voltage V=200sin 314 t is appiled to a 10 Ω resistor. Find (i) rms voltage, (ii) rms current and (iii) power dissipated as heat.

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Solution

According to the question V=200sin314t and R=10Ω
comaring it with original equation we get ,Vm=200V
(1} rms voltage , Vrms=Vm2=0.707×200=141.4V
(2)rms current , Irms=VrmsR=141.410=14.14A

(3)power dissipate ,P=VrmsIrmscosθ
here cosθ is power factor which is equal to 1 for pure resistive circuit since voltage and current are in same phase,
p=141.4×14.14=1999.692000W


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