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Electrostatic Potential and Capacitance

Series RC circuit

A circuit operating at {360}{2 } {Hz} contains a 1 {F} capaci

Question

Easy

Solving time: 2 mins

A circuit operating at $\frac{360}{2 π} Hz$ contains a $1 μ F$ capacitor and a $20Ω$ resistor. How large an inductor must be added in series to make the phase angle for the circuit zero? Calculate the current in the circuit if the applied voltage is $120 V$ .

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Book:

Electricity and Magnetism (DC Pandey)

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Theodore Discussed

A circuit operating at

\frac{360}{2 π} Hz

contains a

1 μ F

capacitor and a

20Ω

resistor. How large an inductor must be added in series to make the phase angle for the circuit zero? Calculate the current in the circuit if the applied voltage is

120 V

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

ϕ = 0

, if

X_{L} = X_{C}

or 2 π f L = \frac{1}{2 π f C}

∴ L = \frac{1}{( 2 π f ) ^{2} C}

Z I = \frac{1}{( 360 ) ^{2} \times 1 0 ^{- 6}} = 7.7 H = R = \frac{V}{Z} = \frac{V}{R} = \frac{120}{20} = 6 A

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Question Text	A circuit operating at $\frac{360}{2 π} Hz$ contains a $1 μ F$ capacitor and a $20Ω$ resistor. How large an inductor must be added in series to make the phase angle for the circuit zero? Calculate the current in the circuit if the applied voltage is $120 V$ .
Topic	Electrostatic Potential and Capacitance
Subject	Physics
Class	Class 12
Answer Type	Text solution:1
Upvotes	72

A circuit operating at $\frac{360}{2 π} Hz$ contains a $1 μ F$ capacitor and a $20Ω$ resistor. How large an inductor must be added in series to make the phase angle for the circuit zero? Calculate the current in the circuit if the applied voltage is $120 V$ .

Text solutionVerified

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A circuit operating at $\frac{360}{2 π} Hz$ contains a $1 μ F$ capacitor and a $20Ω$ resistor. How large an inductor must be added in series to make the phase angle for the circuit zero? Calculate the current in the circuit if the applied voltage is $120 V$ .