Electric Circuits An electric circuit contains a battery thatproduces a voltage of 60 volts (V), a resistor with a resis-tance of 13 ohms (2), and an inductor with an inductanceof 5 henrys (H), as shown in the figure on the followingpage. Using calculus, it can be shown that the currentI = 1(t) (in amperes, A) t seconds after the switch is closedis I = (1 – e-131/5).(a) Use this equation to express the time t as a function ofthe current I.(b) After how many seconds is the current 2 A?13 Nww.(60 V)5 HSwitch

(a) The equation of the current shown in the closed circuit is,…

Answered: Electric Circuits An electric circuit…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter21: Circuits And Dc Instruments

Section: Chapter Questions

Problem 11CQ: Before World War II, some radios got power through a “resistance cord" that had a significant...

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Electrosurgical units (ESUs) supply high-frequency electricity from resonant RLC circuits to cut. coagulate, or otherwise modify biological tissue. (a) Find the resonant frequency of an ESU with an inductance of L = 1.25 H and a capacitance of 47.0 nF. (b) Calculate the capacitance required for a resonant frequency of 1.33 MHz.
There is a voltage across an open switch, such as in Figure 21.43. Why, then, is the power dissipated by the open switch small?
Integrated Concepts A current balance used to define the ampere is designed so that the current through it is constant, as is the distance between wires. Even so, if the wires change length with temperature, the force between them will change. What percent change in force per degree will occur if the wires are copper?
High-frequency noise in AC power can damage computers. Does the plug-in unit designed to prevent this damage use a large inductance or a large capacitance (in series with the computer) to filter out such high frequencies? Explain.
Construct Your Own Problem Consider the use of an inductor in series with a computer operating on 60 Hz electricity. Construct a problem in which you calculate the relative reduction in voltage of incoming high frequency noise compared to 60 Hz voltage. Among the things to consider are the acceptable series reactance of the inductor for 60 Hz power and the likely frequencies of noise coming through the power lines.
The capacitor in Figure 23.55(a) is designed to filter low—frequency signals, impeding their transmission between circuits. (a) What capacitance is needed to produce a 100 k reactance at a frequency of 120 Hz? (b) What would its reactance be at 1.00 MHz? (c) Discuss the implications of your answers to (a) and (b).
Before World War II, some radios got power through a “resistance cord" that had a significant resistance. Such a resistance cord reduces the voltage to a desired level for the radio’s tubes and the like, and it saves the expense of a transformer. Explain why resistance cords become warm and waste energy when the radio is on.
Integrated Concepts A short circuit to the grounded metal case of an appliance occurs as shown in Figure 23.60. The person touching the case is wet and only has a 3.00 k(resistance to earth/ground. (a) What is the voltage on the case if 5.00 mA flows through the person? (b) What is the current in the short circuit if the resistance of the earth/ground wire is 0.200 ? (c) Will this trigger the 20.0 A circuit breaker supplying the appliance? Figure 23.60 A person can be shocked even when the case of an appliance is grounded. The large short circuit current produces a voltage on the case of the appliance, since the resistance of the earth/ground wire is not zero.
Integrated Concepts A light-rail commuter train draws 630 A of 650-V DC electricity when accelerating, (a) What is its power consumption rate in kilowatts? (b) How long does it take to reach 20.0 m/s stalling from rest if its loaded mass is 5.30 1()4 kg, assuming 95.0% efficiency and constant power? (c) Find its average acceleration. (d) Discuss how the acceleration you found for the light-rail train compares to what might be typical for an automobile.
Presbycusis is a hearing loss due to age that progressively affects higher frequencies. A hearing aid amplifier is designed to amplify all frequencies equally. To adjust its output for presbycusis, would you put a capacitor in series or parallel with the hearing aid's speaker? Explain.
When a wire is connected between the two ends of a solenoid, the resulting circuit can oscillate like an RLC circuit. Describe what causes the capacitance in this circuit.
Why is the power dissipated by a closed switch, such as in Figure 21.43, small?

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