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  • Which of the following statement is correct regarding the AC circuit shown in the adjacent figure?                          

Which of the following statement is correct regarding the AC circuit shown in the adjacent figure?
                                                    

Option: 1

The rms value of current through the circuit is \mathrm{i}_{\mathrm{rms}}=5 \sqrt{2} \mathrm{~A}


Option: 2

The phase difference between source emf and current is \phi=\cos ^{-1}\left(\frac{1}{3}\right)


Option: 3

Average power dissipated in the circuit is 500 W


Option: 4

None of the above


Answers (1)

best_answer

\mathrm{\begin{aligned} & \mathrm{X}_{\mathrm{C}}=\mathrm{X}_{\mathrm{L}} \\ & \therefore \mathrm{Z}=\mathrm{R}=2 \Omega \Rightarrow \mathrm{I}_{\mathrm{rms}}=\frac{\mathrm{V}_{\mathrm{mms}}}{\mathrm{Z}}=\frac{100 / \sqrt{2}}{2}=25 \sqrt{2} \mathrm{~A} \end{aligned} }
Phase difference will be zero.
\mathrm{\text { Average power }=\mathrm{V}_{\mathrm{rms}} \mathrm{I}_{\mathrm{mms}} \cos \phi=\frac{100}{\sqrt{2}} \times 25 \sqrt{2} \times \cos 0^{\circ}=2500 \mathrm{~W}}

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avinash.dongre

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