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Alternating Current

Power in AC Circuit: The Power Factor

A resistor R is connected in series with a coil. The system is

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A resistor $R$ is connected in series with a coil. The system is subjected to an A.C supply of rms voltage $v_{0}$ . If the voltages drop across the resistor $R$ and the coil are $v_{1}$ and $v_{2}$ respectively, then power dissipated in the coil is

\frac{v _{0}^{2} + v _{1}^{2} - v _{2}^{2}}{2 R}

(\frac{v _{0}^{2} - v _{1}^{2}}{2 R})

(\frac{v _{0}^{2} - v _{1}^{2} - v _{2}^{2}}{2 R})

(\frac{v _{0}^{2} - v _{1}^{2} + v _{2}^{2}}{2 R})

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Amelia Discussed

A resistor

R

is connected in series with a coil. The system is subjected to an A.C supply of rms voltage

v_{0}

. If the voltages drop across the resistor

R

and the coil are

v_{1}

and

v_{2}

respectively, then power dissipated in the coil is

14 mins ago

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14 mins ago

Text solutionVerified

v_{1} = I_{0} R

v_{2} = I_{0} R_{1}^{2} + (w L)^{2}

v_{0} = I_{0} (R + R_{1})^{2} + (w L)^{2}

v_{0}^{2} = v_{1}^{2} - v_{2}^{2} = 2 I_{0}^{2} R R_{1}

I_{0}^{2} R_{1} = (\frac{v _{0}^{2} - v _{1}^{2} - v _{2}^{2}}{2 R})

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Question Text	A resistor $R$ is connected in series with a coil. The system is subjected to an A.C supply of rms voltage $v_{0}$ . If the voltages drop across the resistor $R$ and the coil are $v_{1}$ and $v_{2}$ respectively, then power dissipated in the coil is
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	77

A resistor $R$ is connected in series with a coil. The system is subjected to an A.C supply of rms voltage $v_{0}$ . If the voltages drop across the resistor $R$ and the coil are $v_{1}$ and $v_{2}$ respectively, then power dissipated in the coil is

Text solutionVerified

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A resistor R is connected in series with a coil. The system is subjected to an A.C supply of rms voltage v0​. If the voltages drop across the resistor R and the coil are v1​ and v2​ respectively, then power dissipated in the coil is

Text solutionVerified

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A resistor $R$ is connected in series with a coil. The system is subjected to an A.C supply of rms voltage $v_{0}$ . If the voltages drop across the resistor $R$ and the coil are $v_{1}$ and $v_{2}$ respectively, then power dissipated in the coil is