(a) Explanation Given info: The initial value of phase angle is − 39.3 ° , the phase angle for the circuit is − 22.5 ° , the resistance of the resistor is 175 Ω , the inductor of the inductance is 90.0 mH , the capacitance of the circuit is 15.0 μF , the rms voltage in the circuit is 120.0 V and the frequency of the circuit is 60.0 Hz . Explanation: Formula to calculate the angular frequency of the circuit is, ω = 2 π f Here, f is the new frequency of the circuit. Formula to calculate the capacitance reactance of the circuit is, X C = 1 ω C Here, ω is the angular frequency of the circuit. C is the capacitance of the circuit. Substitute 2 π f for ω in above equation to calculate capacitance reactance. X C = 1 2 π f C Substitute 15.0 μF for C in above equation to calculate capacitance reactance. X C = 1 2 π f ( 15.0 μF ( 10 − 6 μF 1 F ) ) = 10615 (b) To determine The frequency which gives the desired phase angle. (c) To determine The rms current in the circuit for new frequency found in part (b).

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ISBN: 9780134051802

Author: Walker

Publisher: PEARSON

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Chapter 24, Problem 99PP

(a)

To determine

Whether the new frequency is increased or decreased if phase angle is increased.

(b)

To determine

The frequency which gives the desired phase angle.

(c)

To determine

The rms current in the circuit for new frequency found in part (b).

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Chapter 24, Problem 98PP

Chapter 25.1, Problem 1EYU

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Whether the new frequency is increased or decreased if phase angle is increased.

Solution Summary: The author explains that the new frequency in the circuit must be increase if phase angle increase.

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Whether the new frequency is increased or decreased if phase angle is increased.

The frequency which gives the desired phase angle.

The rms current in the circuit for new frequency found in part (b).

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Chapter 24 Solutions