(a) Explanation Given Info: The supplied frequency of the generator connected to an RLC circuit is 50 kHz , the rms voltage of the source is 9.00 V , the inductance in the RLC circuit is 0.250 mH , the capacitance in the RLC circuit is 0.150 μF the resistance in the RLC circuit is 2.50 Ω . Explanation: Formula to calculate the impedance of the RLC circuit is, Z = R 2 + ( 2 π f L − 1 2 π f C ) 2 (1) Here, Z is the impedance of the RLC circuit. R is the resistance of the RLC circuit. C is the capacitance of the RLC circuit. L is the inductance of the RLC circuit. f is the frequency of the RLC circuit. Write the expression for rms current. I rms = V rms Z Substitute R 2 + ( 2 π f L − 1 2 π f C ) 2 for Z in above expression. I rms = V rms R 2 + ( 2 π f L − 1 2 π f C ) 2 (2) Substitute 50.0 kHz for f , 9.00 V for V rms , 0.25 mH for L , 0.150 μF for C and 2.50 Ω for R in the above expression. I rms = V rms Z = 9 (b) To determine The rms across the inductor. (c) To determine The rms across the capacitor. (d) To determine The sum of the rms voltages in part (a), (b) and (c) to be greater than, less than, or equal to 9.00 V .

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ISBN: 8220103026918

Author: Walker

Publisher: PEARSON

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Question

Chapter 24, Problem 54PCE

(a)

To determine

The rms voltage across the resistor.

(b)

To determine

The rms across the inductor.

(c)

To determine

The rms across the capacitor.

(d)

To determine

The sum of the rms voltages in part (a), (b) and (c) to be greater than, less than, or equal to 9.00 V .

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Chapter 24, Problem 53PCE

Chapter 24, Problem 55PCE

Chapter 24 Solutions

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The rms voltage across the resistor.

Solution Summary: The author explains the formula to calculate the impedance of the RLC circuit.

Concept explainers

The rms voltage across the resistor.

The rms across the inductor.

The rms across the capacitor.

The sum of the rms voltages in part (a), (b) and (c) to be greater than, less than, or equal to 9.00 V .

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Chapter 24 Solutions