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In the AC circuit shown in Figure P32.3, R = 70.0 Ω and the output voltage of the AC source is Δ V max sin ωt . (a) If Δ V R = 0.250 Δ V max for the first time at t = 0.0100 s, what is the angular frequency of the source? (b) What is the next value of t for which Δ V R = 0.250 Δ V max ? Figure P32.6 Problem 3 and 5.

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Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553292

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Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

10th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781337553292
Chapter 32, Problem 5P
Textbook Problem
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In the AC circuit shown in Figure P32.3, R = 70.0 Ω and the output voltage of the AC source is ΔVmax sin ωt. (a) If ΔVR = 0.250 ΔVmax for the first time at t = 0.0100 s, what is the angular frequency of the source? (b) What is the next value of t for which ΔVR = 0.250 ΔVmax?

Figure P32.6 Problem 3 and 5.

Chapter 32, Problem 5P, In the AC circuit shown in Figure P32.3, R = 70.0  and the output voltage of the AC source is Vmax

(a)

To determine

The angular frequency of the source.

Explanation of Solution

Given Information: The resistance across the circuit is 70.0Ω , the value of time period is 0.0100s .

It is given that the voltage across the resistor is,

ΔVR=ΔVmaxsin(ωt) (1)

Here,

ΔVR is the ΔVR voltage across the resistor.

ΔVmax is the peak voltage across the resistor.

ω is the angular frequency of the source.

t is the value of time period.

It is given that the voltage across the resistor is 0.250 times of the peak voltage across the resistor.

ΔVR=0.250ΔVmax

Substitute 0.250ΔVmax for ΔVR in equation (1) to find ωt ,

0.250ΔVmax=ΔVmaxsin(ωt)ωt=sin1(0

(b)

To determine

The next value of t for which ΔVR=0.250ΔVmax .

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Chapter 32 Solutions

Physics for Scientists and Engineers with Modern Physics
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Ch. 32 - Figure P32.4 shows three lightbulbs connected to a...Ch. 32 - In the AC circuit shown in Figure P32.3, R = 70.0 ...Ch. 32 - In a purely inductive AC circuit as shown in...Ch. 32 - For the circuit shown in Figure P32.6, Vmax = 80.0...Ch. 32 - A 20.0-mH inductor is connected to a North...Ch. 32 - An AC source has an output rms voltage of 78.0 V...Ch. 32 - Review. Determine the maximum magnetic flux...Ch. 32 - A 1.00-mF capacitor is connected to a North...Ch. 32 - An AC source with an output rms voltage of 86.0 V...Ch. 32 - What is the maximum current in a 2.20-F capacitor...Ch. 32 - A capacitor C is connected to a power supply that...Ch. 32 - In addition to phasor diagrams showing voltages...Ch. 32 - An AC source with Vmax = 150 V and f = 50.0 Hz is...Ch. 32 - You are working in a factory and have been tasked...Ch. 32 - Draw phasors to scale for the following voltages...Ch. 32 - An RLC circuit consists of a 150- resistor, a...Ch. 32 - A 60.0-ft resistor is connected in series with a...Ch. 32 - A series RLC circuit has a resistance of 45.0 and...Ch. 32 - Why is the following situation impossible? A...Ch. 32 - A series RLC circuit has a resistance of 22.0 and...Ch. 32 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 32 - The LC circuit of a radar transmitter oscillates...Ch. 32 - A series RLC circuit has components with the...Ch. 32 - You wish to build a series RLC circuit for a...Ch. 32 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 32 - A resistor R, inductor L, and capacitor C are...Ch. 32 - The primary coil of a transformer has N1 = 350...Ch. 32 - A person is working near the secondary of a...Ch. 32 - A transmission line that has a resistance per unit...Ch. 32 - Why is the following situation impossible? An RLC...Ch. 32 - A 400- resistor, an inductor, and a capacitor are...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - A transformer may be used to provide maximum power...Ch. 32 - Show that the rms value for the sawtooth voltage...Ch. 32 - Marie Cornu, a physicist at the Polytechnic...Ch. 32 - A series RLC circuit has resonance angular...Ch. 32 - Review. One insulated conductor from a household...Ch. 32 - (a) Sketch a graph of the phase angle for an RLC...Ch. 32 - A series RLC circuit contains the following...Ch. 32 - Review. In the circuit shown in Figure P32.44,...Ch. 32 - You have decided to build your own speaker system...Ch. 32 - A series RLC circuit is operating at 2.00 103 Hz....Ch. 32 - You are trying to become a member of the Physics...Ch. 32 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 32 - The resistor in Figure P32.49 represents the...Ch. 32 - An 80.0- resistor and a 200-mH inductor are...Ch. 32 - An AC source with Vrms = 120 V is connected...

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