Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 27, Problem 60P
(a)
To determine
The inductor current at time
(b)
To determine
The inductor current at time
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In 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 above
Consider a 23 mH inductor that has a resistance of 4.15 Ω.
Time constant is 0.00554.
If the inductor is connected to a 12.0 V battery, what is the current, I, in amperes, after 12.5 ms?
After being closed for a long time, the switch S in the circuit shown in the figure below is thrown open at
t = 0.
In the circuit,
= 24.0 V,
RA = 4.50 kΩ,
RB = 6.70 kΩ,
and
L = 665 mH.
(a) What is the emf across the inductor immediately after the switch is opened? V(b) When does the current in the resistor RB have a magnitude of 1.00 mA? s
Chapter 27 Solutions
Essential University Physics (3rd Edition)
Ch. 27.3 - You push a bar magnet toward a loop, with the...Ch. 27.3 - Prob. 27.2GICh. 27.3 - If you lower the electrical resistance connected...Ch. 27.3 - A copper penny falls on a path that takes it...Ch. 27.3 - Prob. 27.5GICh. 27.5 - If you keep the current in a solenoid constant...Ch. 27.6 - Prob. 27.8GICh. 27 - In Fig. 27.35, a bar magnet moves toward a...Ch. 27 - Figure 27.36 shows two concentric conducting...Ch. 27 - Fluctuations in Earths magnetic field due to...
Ch. 27 - Chapter 26 stated that a static magnetic field...Ch. 27 - Can an induced electric field exist in the absence...Ch. 27 - A car battery has a 12-V emf, yet energy from the...Ch. 27 - Prob. 7FTDCh. 27 - Prob. 8FTDCh. 27 - Prob. 9FTDCh. 27 - Prob. 10FTDCh. 27 - It takes work to push two bar magnets together...Ch. 27 - A small magnet is dropped into each of two hollow...Ch. 27 - Prob. 13FTDCh. 27 - Show that the volt is the SI unit for the rate of...Ch. 27 - Find the magnetic flux through a 5.0-cm-diameter...Ch. 27 - A circular wire loop 45 cm in diameter has...Ch. 27 - Prob. 17ECh. 27 - Prob. 18ECh. 27 - Find the self-inductance of a 1500-turn solenoid...Ch. 27 - Prob. 20ECh. 27 - Prob. 21ECh. 27 - Prob. 22ECh. 27 - What inductance should you put in series with a...Ch. 27 - The current in a series RL circuit increases to...Ch. 27 - Prob. 25ECh. 27 - Prob. 26ECh. 27 - Prob. 27ECh. 27 - A 1250-turn solenoid 23.2 cm long and 1.58 cm in...Ch. 27 - Prob. 29ECh. 27 - The worlds strongest magnet that can produce a...Ch. 27 - Find the magnetic-field strength in a region where...Ch. 27 - Prob. 32ECh. 27 - Find an expression for the electric-field strength...Ch. 27 - A conducting loop of area A and resistance R lies...Ch. 27 - A conducting loop with area 0.15 m2 and resistance...Ch. 27 - A square wire loop of side l and resistance R is...Ch. 27 - A 5-turn coil 1.0 cm in diameter is rotated at 10...Ch. 27 - A magnetic field is given by B = B0(x/x0)2k, where...Ch. 27 - Prob. 39PCh. 27 - In Example 27.2 take a = 1.0 cm, w = 3.5 cm, and l...Ch. 27 - A 2000-turn solenoid is 2.0 m long and 15 cm in...Ch. 27 - A stent is a cylindrical tube, often made of metal...Ch. 27 - Prob. 43PCh. 27 - Youre an electrical engineer designing an...Ch. 27 - A generator consists of a rectangular coil 75 cm...Ch. 27 - Figure 27.39 shows a pair of parallel conducting...Ch. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - The magnetic field inside a solenoid of circular...Ch. 27 - An electron is inside a solenoid, 28 cm from the...Ch. 27 - During lab, youre given a circular wire loop of...Ch. 27 - A flip coil is used to measure magnetic fields....Ch. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - In Fig. 27.23a, take R = 2.5 k and 0 = 50 V. When...Ch. 27 - How long does it take to dissipate 90% of the...Ch. 27 - Prob. 58PCh. 27 - Prob. 59PCh. 27 - Prob. 60PCh. 27 - In Fig. 27.40, take 0 = 12 V, R1 = 4.0 , R2 = 8.0...Ch. 27 - Prob. 62PCh. 27 - Prob. 63PCh. 27 - Your hospital is installing a new MRI scanner...Ch. 27 - A neutron stars magnetic field is about 108 T....Ch. 27 - Prob. 66PCh. 27 - Prob. 67PCh. 27 - Prob. 68PCh. 27 - An electric field and a magnetic field have the...Ch. 27 - Prob. 70PCh. 27 - Prob. 71PCh. 27 - Prob. 72PCh. 27 - Prob. 73PCh. 27 - A circular wire loop of radius a and resistance R...Ch. 27 - The bar in Problem 46 has mass m and is initially...Ch. 27 - Use the node and loop laws to determine the...Ch. 27 - Prob. 77PCh. 27 - You and your roommate are headed to Cancn for...Ch. 27 - One way to measure blood flow when blood vessels...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...Ch. 27 - Clever farmers with power lines crossing their...
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- An electric current contains a battery that produces a voltage of 60 voltsV , a resistor with a resistance of 13 ohms, and inductor with an inductance of 5 henrys H . Using calculus, it can be shown that I I t (in amperes, A), when t seconds after the switch is closed is 13 5 60 1 13 t I e 1.4.1 Use this equation to express the time t as function of the currentI arrow_forwardThe time variation of the current in a 3H inductor is given by I=5+7t-7t^2, with I in amperes and t in sec. For what values is is the emf induced in inductor 0?arrow_forwardIn the figure below the switch S is closed, Supppose the emf of the ideal battery is 12.0 V, the inductance of the ideal inductor L = 30.0 mH, and the resistance R2 = 4.34 ohms and the resistance R2 = 2.17 ohms. When i = 0.17 A 1. how much energy is delivered by the battery? 2. how much of this energy is stored in the magnetic field of the inductor? 3. how much of this energy is dissipated by both resistors? 4. what is the rate dibat/dt at t = 0, t = 0.82 s and t after a long time?arrow_forward
- An inductor L=47 H is connected in series with a resistor R=25 ohms and a voltage source V=12 V and an initially open switch. At time t=0, he switch is closed. What is the current in the circuit at time t=1.00s? a) .059 A b) .097 A c) .152 A d) .198 Aarrow_forwardAn LR circuit is hooked up to a battery which the switch initially open. The resistance in the circuit is R = 110 Ohm, the inductance is L=4.80H, and battery maintains a voltage of E=47.0V. At time t=0 the switch is closed. What is the current through the circuit after the switch has been closed for t=2.66 times 10-2s? What is the voltage across the inductor after the switch has been closed for t=2.66 times 10-2 seconds?arrow_forwardA series RL circuit formed of a R = 1.20-ΩΩ resistor, a L = 11.0 H inductor, and connected to a V = 7.00 V battery. (a) What is the time constant for this circuit? (b) Once the switch is closed, how long (t) does it take the current to reach half its maximum value (Imax/2)? Group of answer choices 9.2 s, 6.38 s 13.1 s, 5.9 s 11.2 s, 7.9 s 2.9 s, 8.33 sarrow_forward
- The time variation of the current in a 32.0-mH inductor is given by I = 9.00 + 3.00t − 3.00t2, with I in amperes and t in seconds. What is the magnitude of the emf induced in the inductor at the following? (a) t = 2.00 s V(b) t = 5.00 s V(c) For what value of t is the emf induced in the inductor 0? sarrow_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 24.0-V battery is connected in series with a resistor and an inductor, with R= 8.00 Ω and L = 4.00 H, respectively. Find the energy stored in the inductor (a) when the current reaches its maximum value and (b) at an instant that is atime interval of one time constant after the switch is closed.arrow_forward
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