College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Question
Chapter 21, Problem 55GP
(a)
To determine
The emf of the battery.
(b)
To determine
Sketch the plot
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The figure shows an LR circuit with L = 0.15 H, R = 25 Ω, and Vo = 36 V. The switch is initially open. Eight milliseconds (t = 8 ms) after the switch is closed, what is the current in the circuit and the potential difference between points a and b, Vab ?
An inductor L = 0.025 H and a 40 Ω resistor are connected in series to a 5 volt battery and a switch. At t = 0, the switch is closed to complete the circuit.
a) What is the potential difference across the resistor a long time after the switch is closed?
b) From the time the switch is closed, how long does it take for the current to reach 63% of the maximum value?
c) For a single loop circuit with a 2 Ω resistor, a single battery of 3 V, and a characteristic size (size of the loop) of 15.0 cm, the estimated inductance is 2 ✕ 10−7 H. What is the time constant of this RL circuit?
Chapter 21 Solutions
College Physics (10th Edition)
Ch. 21 - Prob. 1CQCh. 21 - Suppose you drop a cylindrical magnet down a long,...Ch. 21 - A long, straight current-carrying wire passes...Ch. 21 - Two closely wound circular coils have the same...Ch. 21 - Prob. 5CQCh. 21 - Why does a transformer not work with dc current?Ch. 21 - Does Lenzs law say that the induced current in a...Ch. 21 - Does Faradays law say that a large magnetic flux...Ch. 21 - An airplane is in level flight over Antarctica,...Ch. 21 - Prob. 10CQ
Ch. 21 - A metal ring can be moved into and out of the...Ch. 21 - Prob. 12CQCh. 21 - A square loop of wire is pulled upward out of the...Ch. 21 - The two solenoids in Figure 21.36 are coaxial and...Ch. 21 - A metal ring is oriented with the plane of its...Ch. 21 - Prob. 4MCPCh. 21 - A metal loop moves at constant velocity toward a...Ch. 21 - A steady current of 1.5 A flows through the...Ch. 21 - Suppose you continue to hold the current in the...Ch. 21 - A vertical bar moves horizontally at constant...Ch. 21 - The vertical loops A and C in Figure 21.41 e are...Ch. 21 - The vertical loops A and C in Figure 21.41 e are...Ch. 21 - After the switch S in the circuit in Figure 21.42...Ch. 21 - A metal loop is being pushed at a constant...Ch. 21 - A circular area with a radius of 6.50 cm lies in...Ch. 21 - Prob. 2PCh. 21 - An empty cylindrical food container with a lid on...Ch. 21 - A single loop of wire with an area of 0.0900 m2 is...Ch. 21 - A coil of wire with 200 circular turns of radius...Ch. 21 - In a physics laboratory experiment, a coil with...Ch. 21 - A closely wound rectangular coil of 80 turns has...Ch. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - A circular loop of wire a radius of 12.0 cm is...Ch. 21 - A cardboard tube is wrapped with windings of...Ch. 21 - A circular loop of wire is in a soalially uniform...Ch. 21 - Prob. 13PCh. 21 - A solenoid carrying a current i is moving toward a...Ch. 21 - A metal bar is pulled to the right perpendicular...Ch. 21 - Two closed loops A and C are close to a long wire...Ch. 21 - A bar magnet is held above a circular loop of wire...Ch. 21 - The current in Figure 21.54 obeys the equation I =...Ch. 21 - A bar magnet is close to a metal loop. When this...Ch. 21 - A very thin 15.0 cm copper bar is aligned...Ch. 21 - When a thin 12.0 cm iron rod moves with a constant...Ch. 21 - You wish to produce a potential difference of 10 V...Ch. 21 - A 1.41 m bar moves through a uniform, 1.20 T...Ch. 21 - The conducting rod ab shown in Figure 21.58 makes...Ch. 21 - BO Measuring blood flow. Blood contains positive...Ch. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Prob. 35PCh. 21 - A transformer consists of 275 primary windings and...Ch. 21 - You need a transformer that will draw 15 W of...Ch. 21 - A step-up transformer. A transformer connected to...Ch. 21 - Prob. 39PCh. 21 - Prob. 40PCh. 21 - Prob. 41PCh. 21 - A solenoid 25.0 cm long and with a cross-sectional...Ch. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - Prob. 47PCh. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - A 12.0 F capacitor and a 5.25 mH inductor are...Ch. 21 - Prob. 51PCh. 21 - A 15.0 F capacitor is charged to 175 C and then...Ch. 21 - Prob. 53GPCh. 21 - A rectangular circuit is moved at a constant...Ch. 21 - Prob. 55GPCh. 21 - A flexible circular loop 6.50 cm in diameter lies...Ch. 21 - Prob. 57GPCh. 21 - Prob. 58GPCh. 21 - Consider the circuit in Figure 21.64 (a) Just...Ch. 21 - How many turns does this typical MRI magnet have?...Ch. 21 - BIO Quenching an MRI magnet. Magnets carrying very...Ch. 21 - If part of the magnet develops resistance and...Ch. 21 - BIO Quenching an MRI magnet. Magnets carrying very...Ch. 21 - Prob. 64PPCh. 21 - Consider the brain tissue at the level of the...Ch. 21 - Prob. 66PPCh. 21 - Which graph best represents the time t dependence...
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- Consider the circuit in Figure P32.18, taking = 6.00 V, L = 8.00 mH, and R = 4.00 . (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 250 s after the switch is closed. (c) What is the value of the final steady-state current? (d) After what time interval does the current reach 80.0% of its maximum value?arrow_forwardShow that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forwardIn an oscillating RLC circuit, R = 7.0 L. = 10 mH. And C = 3.0 F. Initially, the capacitor has a charge of 8.0 C and the current is zero. Calculate the charge on the capacitor (a) five cycles later and (b) 50 cycles later.arrow_forward
- Figure CQ20.7 shows a slidewire generator with motional cmf 0 when the wire at A slides across the top and bottom rails at constant velocity v0. (a) When the wire reaches B so that the area enclosed by the circuit is doubled, determine the ratio of the new cmf to the original cmf, /0. (b) If the wire's speed is doubled so that v = 2v0 determine the ratio /0. Figure CQ20.7arrow_forwardThe current I(t) through a 5.0-mH inductor varies with time, as shown below. The resistance of the inductor is 5.0 . Calculate the voltage across the inductor at t = 2.0 ms, r = 4.0 ms, and t = 8.0 ms.arrow_forward(a) What is the characteristic time constant of a 25.0 mH inductor that has a resistance of 4.00 ? (b) If it is connected to a 12.0 V battery, what is the current after 12.5 ms?arrow_forward
- When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown in Figure P23.8, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin t represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is Emax=0nAImax. (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose. Figure P23.8arrow_forwardIn Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b) the initial current through the resistor, (C) the final current through the resistor, (d) the current through the resistor when t=2L , and (e) the voltages across the inductor and the resistor when t=2L .arrow_forwardDo Kirchhoff’s rules apply to circuits that contain inductors and Capacitors?arrow_forward
- An inductor and a resistor are connected in series across an AC generator, as shown in Figure CQ21.16. Immediately after the switch is closed, which of the following statements is true? (a) The current is V/R. (b) The voltage across the inductor is zero. (c) The current in the circuit is zero. (d) The voltage across the resistor is V. (e) The voltage across the inductor is half its maximum value. Figure CQ21.16arrow_forwardW R₂ a a. What is the potential drop on the inductor? R₁ m Two resistors, R₁ = 125 § and R2 = 325 92, an inductor L = 3.7 mH, a 16 V battery, and a switch are connected as shown above. The switch has been in position a for a long time. What is the current through resistor R₁? What is the current through resistor R₂? Submit Answer Tries 0/10 L b. At time t = 0s the switch is moved to position b. What is the time constant of the RL circuit obtained? Submit Answer Tries 0/10 c. Find the current in this RL circuit when the time t is three-quarters of the time constant from part b. Submit Answer Tries 0/10 d. At what time has the current decayed to 0.75% of its initial value? Submit Answer Tries 0/10arrow_forwardAn RL circuit has an emf source of 28 v, a 62 resistor, a 38 H inductor, and a switch. At what rate, as a function of t, does the emf across the inductor change after the switch is closed?arrow_forward
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