Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 23, Problem 67P
To determine
The inductance of the toroid
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Students have asked these similar questions
In the figure R, = 4.00 N , and R2 = 1.00 N. The inductor is ideal.
When the switch is opened after having been closed for a long time,
the current in the inductor drops from 1.00 A to 0.250 A in 0.200 s.
What is the inductance of the inductor in mH?
Şekildeki devrede R = 4.00 , ve R2 = 1.00 N olarak verilmişlerdir.
Solenoidin iç direnci yoktur. Anahtar uzun süre sonra kapalı kaldıktan
sonra açılırsa solenoidden geçen akım 0,200 s içinde 1,00 A değerinden
0,250 A değerine düşmektedir. Solenoidin indüktansı mH cinsinden
nedir?
R
E-
R2
L
YonitınI7
In the figure R1 = 4.00 N, and R2 = 1.00 N. The inductor is ideal.
When the switch is opened after having been closed for a long time,
the current in the inductor drops from 1.00 A to 0.250 A in 0.200 s.
What is the inductance of the inductor in mH?
Şekildeki devrede R1 =
Solenoidin iç direnci yoktur. Anahtar uzun süre sonra kapalı kaldıktan
sonra açılırsa solenoidden geçen akım 0,200 s içinde 1,00 A değerinden
0,250 A değerine düşmektedir. Solenoidin indüktansı mH cinsinden
nedir?
4.00 N, ve R2 = 1.00 N olarak verilmişlerdir.
R1
E
R2
L
In the figure ɛ = 10.0 V, R, = 4.00 N , and R2 = 1.00 N. The
inductor is ideal. If the switch is closed for a long time, what is the
current through the inductor. Give your answer in A.
Şekildeki devrede ɛ = 10.0 V, R1 = 4.00 N , ve R2 = 1.00 N olarak
verilmişlerdir. Solenoidin iç direnci yoktur. Anahtar kapatıldıktan çok
uzun süre sonra solenoidden geçen akım A cinsinden nedir.
R
E-
R2
L
anıtınız
le
Chapter 23 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 23.1 - A circular loop of wire is held in a uniform...Ch. 23.1 - Prob. 23.2QQCh. 23.2 - You wish to move a rectangular loop of wire into a...Ch. 23.2 - Prob. 23.4QQCh. 23.3 - Prob. 23.5QQCh. 23.4 - In a region of space, a magnetic field is uniform...Ch. 23.6 - Prob. 23.7QQCh. 23.6 - Prob. 23.8QQCh. 23.7 - Prob. 23.9QQCh. 23 - Prob. 1OQ
Ch. 23 - Prob. 2OQCh. 23 - Prob. 3OQCh. 23 - A circular loop of wire with a radius of 4.0 cm is...Ch. 23 - A rectangular conducting loop is placed near a...Ch. 23 - Prob. 6OQCh. 23 - Prob. 7OQCh. 23 - Prob. 8OQCh. 23 - A square, flat loop of wire is pulled at constant...Ch. 23 - The bar in Figure OQ23.10 moves on rails to the...Ch. 23 - Prob. 11OQCh. 23 - Prob. 12OQCh. 23 - A bar magnet is held in a vertical orientation...Ch. 23 - Prob. 14OQCh. 23 - Two coils are placed near each other as shown in...Ch. 23 - A circuit consists of a conducting movable bar and...Ch. 23 - Prob. 17OQCh. 23 - Prob. 1CQCh. 23 - Prob. 2CQCh. 23 - Prob. 3CQCh. 23 - Prob. 4CQCh. 23 - Prob. 5CQCh. 23 - Prob. 6CQCh. 23 - Prob. 7CQCh. 23 - Prob. 8CQCh. 23 - Prob. 9CQCh. 23 - Prob. 10CQCh. 23 - Prob. 11CQCh. 23 - Prob. 12CQCh. 23 - Prob. 13CQCh. 23 - Prob. 14CQCh. 23 - Prob. 15CQCh. 23 - Prob. 16CQCh. 23 - Prob. 1PCh. 23 - An instrument based on induced emf has been used...Ch. 23 - A flat loop of wire consisting of a single turn of...Ch. 23 - Prob. 4PCh. 23 - Prob. 5PCh. 23 - Prob. 6PCh. 23 - A loop of wire in the shape of a rectangle of...Ch. 23 - When a wire carries an AC current with a known...Ch. 23 - Prob. 9PCh. 23 - Prob. 10PCh. 23 - Prob. 11PCh. 23 - A piece of insulated wire is shaped into a figure...Ch. 23 - A coil of 15 turns and radius 10.0 cm surrounds a...Ch. 23 - Prob. 14PCh. 23 - Figure P23.15 shows a top view of a bar that can...Ch. 23 - Prob. 16PCh. 23 - Prob. 17PCh. 23 - A metal rod of mass m slides without friction...Ch. 23 - Review. After removing one string while...Ch. 23 - Prob. 20PCh. 23 - The homopolar generator, also called the Faraday...Ch. 23 - Prob. 22PCh. 23 - A long solenoid, with its axis along the x axis,...Ch. 23 - Prob. 24PCh. 23 - Prob. 25PCh. 23 - Prob. 26PCh. 23 - A coil of area 0.100 m2 is rotating at 60.0 rev/s...Ch. 23 - A magnetic field directed into the page changes...Ch. 23 - Within the green dashed circle shown in Figure...Ch. 23 - Prob. 30PCh. 23 - Prob. 31PCh. 23 - Prob. 32PCh. 23 - Prob. 33PCh. 23 - Prob. 34PCh. 23 - Prob. 35PCh. 23 - Prob. 36PCh. 23 - Prob. 37PCh. 23 - Prob. 38PCh. 23 - Prob. 39PCh. 23 - Prob. 40PCh. 23 - Prob. 41PCh. 23 - Prob. 42PCh. 23 - Prob. 43PCh. 23 - Prob. 44PCh. 23 - Prob. 45PCh. 23 - Prob. 46PCh. 23 - Prob. 47PCh. 23 - Prob. 48PCh. 23 - Prob. 49PCh. 23 - Prob. 50PCh. 23 - Prob. 51PCh. 23 - Prob. 52PCh. 23 - Prob. 53PCh. 23 - Prob. 54PCh. 23 - Prob. 55PCh. 23 - Prob. 56PCh. 23 - Prob. 57PCh. 23 - Figure P23.58 is a graph of the induced emf versus...Ch. 23 - Prob. 59PCh. 23 - Prob. 60PCh. 23 - The magnetic flux through a metal ring varies with...Ch. 23 - Prob. 62PCh. 23 - Prob. 63PCh. 23 - Prob. 64PCh. 23 - Prob. 65PCh. 23 - Prob. 66PCh. 23 - Prob. 67PCh. 23 - Prob. 68PCh. 23 - Prob. 69PCh. 23 - Prob. 70PCh. 23 - Prob. 71PCh. 23 - Prob. 72PCh. 23 - Review. The use of superconductors has been...Ch. 23 - Prob. 74PCh. 23 - Prob. 75P
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- 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_forwardFigure 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_forwardWhen 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_forward
- Two coaxial cables of length with radii a and b are carrying currents in opposite directions as shown in Figure P33.78. Determine the inductance of the system. Hint: Use Ampres law to write an expression for the magnetic field in the region between the cables, a distance r from the axis of the cables. Then calculate the magnetic flux through a narrow rectangular region between the cables such that the Field is perpendicular to the area everywhere. FIGURE P33.78arrow_forward29.50 Suppose the loop in Fig. P29.50 is (a) rotated about the y-axis; (b) rotated about the x-axis; (c) rotated about an edge parallel to the z-axis. What is the maximum induced emf in each case if A = 600 cm2, w = 35.0 rad/s, and B = 0.320 T?arrow_forwardIn the circuit of Figure P31.29, the battery emf is 50.0 V, the resistance is 250 V, and the capacitance is 0.500 ?F. The switch S is closed for a long time interval, and zero potential difference is measured across the capacitor. After the switch is opened, the potential difference across the capacitor reaches a maximum value of 150 V. What is the value of the inductance?arrow_forward
- Problem 275. Two metal spheres of radius R are placed at a very large distance from each other, and they are connected by a coil of inductance L, as it is shown in the figure. One of the spheres is loaded with electric charge. At what time, after closing the switch S, does the charge on this sphere decrease to the half? At what time will the charge reach the original value again? L Sarrow_forwardAt t = 0, the open switch in Figure P31.46 is thrown closed. We wish to find a symbolic expression for the current in the inductor for time t> 0. Let this current be called i and choose it to be downward in the inductor in Figure P31.46. Identify i, as the current to the right through R, and iz as the current downward through R. (a) Use Kirchhoff's junction rule to find a relation among the three currents. (b) Use Kirchhoff's loop rule around the left loop to find another relationship. (c) Use Kirchhoff's loop rule around the outer loop to find a third relationship. (d) Eliminate i, and i, among the three equations to find an equation involving only the current i. (e) Compare the equation in part (d) with Equation 31.6 in the text. Use this comparison R Figure P31.46 to rewrite Equation 31.7 in the text for the situation in this problem and show that i(t) R, where R' = R,R,/(R, + R,).arrow_forwardFind the equation for the voltage across the inductor with time. DsS A. vL(t) = (125 V) cos[(9580 rad/s)t + 7 rad] B. vL(t) = (112 V) cos[(9580 rad/s){] C. vL(t) = (125 V) cos[(9580 rad/s)t + 7/2 rad] The current in the circuit is given by i(t) = I cos[(9580 rad/s)(], where I is the amplitude current. The voltage amplitude of the AC source is 112 V. D. vL(t) = (112 V) cos[(9580 rad/s)t + 1.03 rad] %3D E. vL(t) = (125 V) cos[(9580 rad/s)t – 7/2 rad] R= 335 2 C = 0.625 µF L = 75.8 mHarrow_forward
- A toroidal solenoid with a rectangular cross-section is wound uniformly with 480 turns. The inner radius is a=5 cm, the outer radius is b=7.5 cm, and it has a thickness of t=1 cm. What is the self-inductance of this device?arrow_forwardYou are working as an electrical technician. One day, out in the field, you need an inductor but cannot find one. Looking in your wire supply cabinet, you find a cardboard tube with single-conductor wire wrapped uniformly around it to form a solenoid. You carefully count the turns of wire and find that there are 580 turns. The diameter of the tube is 8.00 cm, and the length of the wire-wrapped portion is 36.0 cm. You pull out your calculator to determine (a) the inductance of the coil and (b) the emf generated in it if thecurrent in the wire increases at the rate of 4.00 A/s.arrow_forwardProblem 2: A1.7 H inductor in an RL circuit (with resistance 1.95 Q) is initially carrying a current of 5.05 A. A switch is then thrown (between positions 1 and 2, see figure), which causes the inductor to begin losing energy. Randomized Variables R I= 5.05 A L = 1.7H R = 1.95 2 Part (a) What is the initial energy in the inductor in J? Eind sin() cos() tan() 7 9. HOME cotan() asin() acos() E A 4 5 6 atan() acotan() sinh() 2 3 cosh() tanh() cotanh() END Degrees Radians VOI BACKSPACE DEL CLEAR Submit I give up! Hint Feedback Part (b) How long will it take the current to decline to 25.00% of its initial value? Express this value in seconds. Part (c) Calculate the average power dissipated in W. co 1.arrow_forward
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