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Electromagnetic Induction> In an LR-circuit, the inductive reactance...

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In an LR-circuit, the inductive reactance is equal to the resistance R of the circuit. An emf E=E₀cos(wt) applied to the circuit. The power consumed in the circuit is
A) E₀²/R
B)E₀²/2R
C)E₀²/4R
D)E₀²/8R

MANOJ MISHRA , 7 Years ago

Grade

2 Answers

Sanjai

X_L= R. Z= √2 R

P= ( V_rms/Z)²•R

= ( E_o/√2)² / (√2R)^{2 •}R

= E_o²/4R

please adjust with the symbols. I couldn’t write it clearly.

Last Activity: 6 Years ago

Khimraj

P={{E}_{rms}}{{i}_{rms}}\cos \varphi =\frac{{{E}_{0}}}{\sqrt{2}}\times \frac{{{i}_{0}}}{\sqrt{2}}\times \frac{R}{Z} Þ \frac{{{E}_{0}}}{\sqrt{2}}\times \frac{{{E}_{0}}}{Z\sqrt{2}}\times \frac{R}{Z}\Rightarrow \,\,P=\frac{E_{0}^{2}R}{2{{Z}^{2}}} Given {{X}_{L}}=R so, Z=\sqrt{2}R\Rightarrow \,P=\frac{E_{0}^{2}}{4R}

Last Activity: 6 Years ago

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