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Physics Part-I

Alternating Current

A series LCR circuit with R = 20 , L = 1.5 H and C = 35 is c

Physics Part-I

Class 12

NCERT

Chapter 1: Electric Charges and Fields

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Chapter 5: Magnetism and Matter

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Chapter 7: Alternating Current

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Suppose the initial charge on the capacitor in Exercise 7.7 is 6 mC. What is the total energy stored in the circuit initially? What is the total energy at later time?

A series LCR circuit with R = 20

Ω

, L = 1.5 H and C = 35

μ

F is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

A radio can tune over the frequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz). If its LC circuit has an effective inductance of 200

μ

H, what must be the range of its variable capacitor?

[Hint: For tuning, the natural frequency i.e., the frequency of free oscillations of the LC circuit should be equal to the frequency of the radiowave.]

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Chapter 8: Electromagnetic Waves

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Solving time: 3 mins

A series LCR circuit with R = 20 $Ω$ , L = 1.5 H and C = 35 $μ$ F is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

Name: Video solution 1: [Solved] A series LCR circuit with R = 20 Ω , L = 1.5 H and C = 35 μF is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle? - Physics Part-I
Uploaded: 2022-09-04T06:12:14.000Z
Duration: 14 min
Description: Video solution 1: [Solved] A series LCR circuit with R = 20 Ω , L = 1.5 H and C = 35 μF is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle? - Physics Part-I

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Updated on: Sep 4, 2022

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A series LCR circuit with R = 20

Ω

, L = 1.5 H and C = 35

μ

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

At resonance, the frequency of supply power equals to naturan frequency of LCR circuit.

Impedence,

Z = R^{2} + (ω L - 1/ ω C)

ω_{L} = \frac{1}{ω _{C}}

so,

Z = R

I = V / R = 200/20 = 10 A

Power,

W = V \times I = 200 \times 10 = 2000 W

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Practice more questions from Physics Part-I (NCERT)

Suppose the initial charge on the capacitor in Exercise 7.7 is 6 mC. What is the total energy stored in the circuit initially? What is the total energy at later time?

A series LCR circuit with R = 20

Ω

, L = 1.5 H and C = 35

μ

A radio can tune over the frequency range of a portion of MW broadcast band: (800 kHz to 1200 kHz). If its LC circuit has an effective inductance of 200

μ

H, what must be the range of its variable capacitor?

[Hint: For tuning, the natural frequency i.e., the frequency of free oscillations of the LC circuit should be equal to the frequency of the radiowave.]

View all

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Question Text	A series LCR circuit with R = 20 $Ω$ , L = 1.5 H and C = 35 $μ$ F is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?
Updated On	Sep 4, 2022
Topic	Alternating Current
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 1
Upvotes	208
Avg. Video Duration	14 min

A series LCR circuit with R = 20 $Ω$ , L = 1.5 H and C = 35 $μ$ F is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

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A series LCR circuit with R = 20 Ω , L = 1.5 H and C = 35 μF is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?

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A series LCR circuit with R = 20 $Ω$ , L = 1.5 H and C = 35 $μ$ F is connected to a variable-frequency 200 V ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power transferred to the circuit in one complete cycle?