Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 31.2, Problem 31.2QQ
(i)
To determine
The circuit element across which the voltage is equal to the emf of the battery at the instant it is closed.
(b)
To determine
The circuit element across which the voltage is equal to the emf of the battery after a very long time.
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Chapter 31 Solutions
Physics for Scientists and Engineers
Ch. 31.1 - A coil with zero resistance has its ends labeled a...Ch. 31.2 - Prob. 31.2QQCh. 31.3 - Prob. 31.3QQCh. 31.4 - Prob. 31.4QQCh. 31.5 - (i) At an instant of time during the oscillations...Ch. 31 - Prob. 1PCh. 31 - Prob. 2PCh. 31 - An emf of 24.0 mV Ls induced in a 500-turn coil...Ch. 31 - Prob. 4PCh. 31 - Prob. 5P
Ch. 31 - A toroid has a major radius R and a minor radius r...Ch. 31 - Prob. 7PCh. 31 - Prob. 8PCh. 31 - Prob. 9PCh. 31 - Prob. 10PCh. 31 - Prob. 11PCh. 31 - Show that i = Iiet/ is a solution of the...Ch. 31 - Prob. 13PCh. 31 - You are working as a demonstration assistant for a...Ch. 31 - Prob. 15PCh. 31 - The switch in Figure P31.15 is open for t 0 and...Ch. 31 - Prob. 17PCh. 31 - Two ideal inductors, L1 and L2, have zero internal...Ch. 31 - Prob. 19PCh. 31 - Prob. 20PCh. 31 - Prob. 21PCh. 31 - Complete the calculation in Example 31.3 by...Ch. 31 - Prob. 23PCh. 31 - A flat coil of wire has an inductance of 40.0 mH...Ch. 31 - Prob. 25PCh. 31 - Prob. 26PCh. 31 - Prob. 27PCh. 31 - Prob. 28PCh. 31 - In the circuit of Figure P31.29, the battery emf...Ch. 31 - Prob. 30PCh. 31 - An LC circuit consists of a 20.0-mH inductor and a...Ch. 31 - Prob. 32PCh. 31 - In Figure 31.15, let R = 7.60 , L = 2.20 mH, and C...Ch. 31 - Prob. 34PCh. 31 - Electrical oscillations are initiated in a series...Ch. 31 - Review. Consider a capacitor with vacuum between...Ch. 31 - A capacitor in a series LC circuit has an initial...Ch. 31 - Prob. 38APCh. 31 - Prob. 39APCh. 31 - At the moment t = 0, a 24.0-V battery is connected...Ch. 31 - Prob. 41APCh. 31 - You are working on an LC circuit for an experiment...Ch. 31 - Prob. 43APCh. 31 - Prob. 44APCh. 31 - Prob. 45APCh. 31 - At t = 0, the open switch in Figure P31.46 is...Ch. 31 - Review. The use of superconductors has been...Ch. 31 - Review. A fundamental property of a type 1...Ch. 31 - Prob. 49APCh. 31 - In earlier times when many households received...Ch. 31 - Assume the magnitude of the magnetic field outside...Ch. 31 - Prob. 52CPCh. 31 - Prob. 53CP
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- (i) When a particular inductor is connected to a source of sinusoidally varying emf with constant amplitude and a frequency of 60.0 Hz, the rms current is 3.00 A. What is the rms current if the source frequency is doubled? (a) 12.0 A (b) 6.00 A (c) 4.24 A (d) 3.00 A (e) 1.50 A (ii) Repeat part (i) assuming the load is a capacitor instead of an inductor. (iii) Repeat part (i) assuming the load is a resistor instead of an inductor.arrow_forwardIn the circuit shown in the Figure with 3.0 mH for the inductance and 6.0 uF for the capacitance, S1 has been closed for a long enough time so that the current reads a steady 3.50 A. Suddenly, S2 is closed and S1 is opened at the same instant. What is the maximum charge that the capacitor will receive? What is the current in the inductor at this time? At an instant when the charge on the capacitor is 0.1 mC, what is the current in the inductor? At an instant when the charge on the capacitor is 0.1 mC, what is the rate at which the current in the inductor is changing?arrow_forwardIn 3.0 s, the current in a particular RL circuit that consists of a battery, a resistor, and an inductor connected in series has increased to 50.% of the maximum current possible. If the resistor has a value of 3.00 Ω, what is the inductance of the inductor? (a) 4.1 H (b) 6.5 H (c) 3.3 H (d) 13 H(e) None of the abovearrow_forward
- Initially, the switch connects a resistor of resistance R and an inductor to a battery, and a current I0 flows through the circuit. At time t=0, the switch is thrown open with the motion indicated by the arrow, removing the battery from the circuit. Suppose you measure that the current decays to I1 at time t1. Determine the time constant τ of the circuit. What is the inductance L of the inductor?arrow_forwardA very long, straight solenoid with a cross sectional area of 1.92 cm2 is wound with 92.1 turns of wire per centimeter. Starting at t=0, the current in the solenoid is increasing according to i(t) = (0.180 A/s2)t2. A secondary winding of 5 turns encircles the solenoid at its center, such that the secondary winding has the same cross sectional area as the solenoid. What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A ? |E| = ________arrow_forwardA conducting circular loop of wire with radius 0.0300 m and resistance 0.40 Ω sits in a region of spatially uniform magnetic field, as shown in the figure. The magnetic field is directed into the plane of the figure and it changes in time with the expression B(t) = 1.080 T - (0.360 T/s )∙t (here T represents the unit Tesla and t is the time)a) Give the magnetic flux through the loop as a function of time.b) Give the EMF induced in the loop as a function of time.c) Calculate the induced current at time t = 1.0 s. Show the steps that lead to youranswers.d) What is the direction of the current in the loop at t = 1.0 s? Explain/justify youranswerarrow_forward
- At t=0 the open switch in figure is closed. By using kirchhoff's rule for the instantaneous currents and voltage in this two-loop circuits, show that the current in the inductor at time t>0 is I(t)=(emf/R1)[1-e^-(R'/L)t] where R=R1R2/(R1+R2).arrow_forwardAn LR circuit is hooked up to a battery as shown in the figure, with the switch initially open. The resistance in the circuit is R=140 Ω, the inductance is L=2.20 H, and the battery maintains a voltage of E=48.0 V. At time t=0 the switch is closed. a) What is the current through the circuit after the switch has been closed for t=6.91E-3 s?1.22×10-1 A b) What is the voltage across the inductor after the switch has been closed for t= 6.91E-3 seconds?3.09×101 V How much energy is stored in the inductor at t= 6.91E-3 seconds. What is the power dissipation in the resistor at t=6.91E-3 seconds?2.09 W c) How much energy is stored in the inductor at t= 6.91E-3 seconds 1.64×10-2 J d) How much work has the battery done from the time the switch was closed until t=6.91E-3 s? e) How much energy has been dissipated in the resistor from the time the switch was closed until t= 6.91E-3 seconds? (The answers in bold are answers for the previous questions. I need help with d and e)arrow_forwardA thin wire = 30.0 cm long is held parallel to and d = 80.0 cm above a long, thin wire carrying I = 200 A and fixed in position (Fig. P30.47). The 30.0-cm wire is released at the instant t = 0 and falls, remaining parallel to the current-carrying wire as it falls. Assume the falling wire accelerates at 9.80 m/s2. (a) Derive an equation for the emf induced in it as a function of time. (b) What is the minimum value of the emf? (c) What is the maximum value? (d) What is the induced emf 0.300 s after the wire is released? Figure P30.47arrow_forward
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