Explanation Write the expression for oscillating current across the RC filter. I ( t ) = I max sin ω t Here, I ( t ) is the instantaneous current, I max is the maximum current, ω is the angular velocity and t is the oscillating time. Write the expression for potential drop across the resistor. V R ( t ) = R I max sin ω t Here, V R ( t ) is the potential drop across the resistor, R is the resistance, and t is the oscillating time. The potential drop across the capacitor is ahead of the voltage of the capacitor by ( π 2 radian ) and is written as, V L ( t ) = X L I max sin ( ω t + π 2 ) Here, V L ( t ) is the potential drop and X L is the capacitive reactance Write the expression for the applied voltage. ε ( t ) = ε max sin ( ω t + φ ) Here, ε ( t ) is the applied voltage, ε max is the maximum voltage and φ is the phase difference. The applied voltage consists of two parts that is voltage across the resistor and voltage across the capacitor. ε ( t ) = V R ( t ) + V L ( t ) Substitute the value in the above expression. ε max sin ( ω t + φ ) = R I max sin ω t + X L I max sin ( ω t + π 2 ) Substitute ( t = 0 ) in the above equation and find the value of phase constants. ε max sin ( 0 + φ ) = R I max sin ω ( 0 ) + X L I max sin ( 0 + π 2 ) ε max sin ( 0 + φ ) = X L I max sin ( π 2 ) ε max sin ( 0 + φ ) = X L I max (II) Substitute ( ω t = π 2 ) in the above equation and find the value of phase constants

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN: 9781133939146

Author: Katz, Debora M.

Publisher: Cengage Learning

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Chapter 33, Problem 46PQ

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The proof that maximum current of an RC filter is given by Imax=εmaxXL2+R2.

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Chapter 33, Problem 45PQ

Chapter 33, Problem 47PQ

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Chapter 33 Solutions

Physics for Scientists and Engineers: Foundations and Connections

Ch. 33.1 - Prob. 33.1CE Ch. 33.1 - Prob. 33.2CE Ch. 33.2 - Prob. 33.3CE Ch. 33.3 - Prob. 33.4CE Ch. 33.4 - Prob. 33.5CE Ch. 33.5 - Prob. 33.6CE Ch. 33.7 - Prob. 33.7CE Ch. 33 - Prob. 1PQ Ch. 33 - Prob. 2PQ Ch. 33 - Prob. 3PQ

Ch. 33 - Prob. 4PQ Ch. 33 - Prob. 5PQ Ch. 33 - Prob. 6PQ Ch. 33 - Prob. 7PQ Ch. 33 - Prob. 8PQ Ch. 33 - Prob. 9PQ Ch. 33 - Prob. 10PQ Ch. 33 - Prob. 11PQ Ch. 33 - At one instant, a current of 6.0 A flows through...Ch. 33 - Prob. 13PQ Ch. 33 - Prob. 14PQ Ch. 33 - Prob. 15PQ Ch. 33 - In Figure 33.9A (page 1052), the switch is closed...Ch. 33 - Prob. 17PQ Ch. 33 - Prob. 18PQ Ch. 33 - Prob. 19PQ Ch. 33 - Prob. 20PQ Ch. 33 - Prob. 21PQ Ch. 33 - Prob. 22PQ Ch. 33 - In the LC circuit in Figure 33.11, the inductance...Ch. 33 - A 2.0-F capacitor is charged to a potential...Ch. 33 - Prob. 26PQ Ch. 33 - Prob. 27PQ Ch. 33 - Prob. 28PQ Ch. 33 - For an LC circuit, show that the total energy...Ch. 33 - Prob. 30PQ Ch. 33 - Prob. 31PQ Ch. 33 - Prob. 32PQ Ch. 33 - Prob. 33PQ Ch. 33 - Suppose you connect a small lightbulb across a DC...Ch. 33 - Prob. 35PQ Ch. 33 - Prob. 36PQ Ch. 33 - Prob. 37PQ Ch. 33 - Prob. 38PQ Ch. 33 - Prob. 39PQ Ch. 33 - Prob. 40PQ Ch. 33 - Prob. 41PQ Ch. 33 - Prob. 42PQ Ch. 33 - Prob. 43PQ Ch. 33 - In an ideal AC circuit with capacitance, there is...Ch. 33 - Prob. 45PQ Ch. 33 - Prob. 46PQ Ch. 33 - Prob. 47PQ Ch. 33 - Prob. 48PQ Ch. 33 - Prob. 49PQ Ch. 33 - An AC generator with an rms emf of 15.0 V is...Ch. 33 - Prob. 51PQ Ch. 33 - Prob. 52PQ Ch. 33 - Prob. 53PQ Ch. 33 - Prob. 54PQ Ch. 33 - Prob. 55PQ Ch. 33 - Prob. 56PQ Ch. 33 - Prob. 57PQ Ch. 33 - Prob. 58PQ Ch. 33 - Prob. 59PQ Ch. 33 - An AC source of angular frequency is connected to...Ch. 33 - An RLC series circuit is constructed with R =...Ch. 33 - Prob. 62PQ Ch. 33 - A series RLC circuit driven by a source with an...Ch. 33 - Prob. 64PQ Ch. 33 - Prob. 65PQ Ch. 33 - Prob. 66PQ Ch. 33 - Prob. 67PQ Ch. 33 - Prob. 68PQ Ch. 33 - Prob. 69PQ Ch. 33 - Prob. 70PQ Ch. 33 - Problems 71 and 72 paired. Figure P33.71 shows a...Ch. 33 - Prob. 72PQ Ch. 33 - Prob. 73PQ Ch. 33 - Prob. 74PQ Ch. 33 - Prob. 75PQ Ch. 33 - In a series RLC circuit with a maximum current of...Ch. 33 - Prob. 77PQ Ch. 33 - Two coaxial cables of length with radii a and b...Ch. 33 - Prob. 79PQ Ch. 33 - Prob. 80PQ Ch. 33 - Prob. 81PQ Ch. 33 - Prob. 82PQ Ch. 33 - Prob. 83PQ Ch. 33 - Prob. 84PQ

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Chapter 33 Solutions