University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 13, Problem 57P
A 50-turn rectangular coil with dimensions
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A rectangular loop with the given dimensions is being pulled out of a uniform magnetic field of strength 4.5 mT at a speed of 0.5 m/s.
The loop has a resistance of 3 ohms. Determine the magnitude and direction of the current induced in the loop as the right edge of the loop departs the magnetic field.
A planar loop consisting of four turns of wire, each of which encloses 200 cm², is oriented perpendicularly to a magnetic field that increases uniformly in magnitude from 10 mT to 25 mT in a time of 5.0 ms. What is the resulting induced current in the coil if the resistance of the coil is 5.0 Ω
A rectangular loop (area =0.15 m2) turns in a uniform magnetic field,B = 0.20 T.When the angle between the field and the normal to the plane of the loop is p/2 rad and increasing at 0.60 rad/s, what emf is induced in the loop?
Chapter 13 Solutions
University Physics Volume 2
Ch. 13 - Chek sour Understanding A closely und coil has a...Ch. 13 - Check ‘sour Und.rtanding Find the dhectlon of the...Ch. 13 - Check Your UnderstAnding Verify the directions of...Ch. 13 - Check Your Understanding Shown below is a rod of...Ch. 13 - Check Your Understanding A rod of length 10cm...Ch. 13 - Check Your understanding Suppose that the coil of...Ch. 13 - Check Your Understanding What Is the magnitude of...Ch. 13 - Check your Understanding Themagneticfield shown...Ch. 13 - Check Your Understanding A long solenoid of...Ch. 13 - A stationary coil is in a magnetic field that is...
Ch. 13 - In Faraday’s experiments, what would be the...Ch. 13 - A copper ring and a wooden ring of the same...Ch. 13 - Discuss the factors determining the induced emf in...Ch. 13 - a. Does the induced emf in a circuit depend on the...Ch. 13 - How would changing the radius of loop D shown...Ch. 13 - Can there be an induced emf in a circuit at an...Ch. 13 - Does the induced emf always act to decrease the...Ch. 13 - How would you position a flat loop of wire in a...Ch. 13 - The normal to tt plane of a single-turn conducting...Ch. 13 - The circular conducting loops shown in the...Ch. 13 - The north pole of a mag’iet is moved toward a...Ch. 13 - The accompanying figure shows a conducting ring at...Ch. 13 - Show that and dm/dt have the same units.Ch. 13 - State the direction of the induced current for...Ch. 13 - A bar magnet falls under the influence of gravity...Ch. 13 - Around the geographic North Pole (or magnetic...Ch. 13 - A wire loop moves translationally (no rotation) in...Ch. 13 - Is the work required to accelerate a rod from rest...Ch. 13 - The copper sheet shown below is partially in a...Ch. 13 - A conducting sheet lies in a plane perpendicular...Ch. 13 - Electromagnetic braking can be achieved by...Ch. 13 - A coil is moved through a magnetic field as shown...Ch. 13 - A 50-turn coil has a diameter of 15 cm. The coil...Ch. 13 - Repeat your calculations of the preceding...Ch. 13 - A square loop whose sides are 6.0-cm long is made...Ch. 13 - The magnetic field through a circular loop of...Ch. 13 - The accompanying figure shows a single-turn...Ch. 13 - How would the answers to the preceding problem...Ch. 13 - A long solenoid with n= 10 turns per centimeter...Ch. 13 - A rectangular wire loop with length a and width b...Ch. 13 - The magnetic field perpendicular to a single sire...Ch. 13 - A single-turn circular loop of wire of radius 50...Ch. 13 - When a magnetic field is first turned on, t1 flux...Ch. 13 - The magnetic flux through the loop shown in the...Ch. 13 - Use Lenz’s law to determine tl direction of...Ch. 13 - An automobile with a radio antenna 1.0 m long...Ch. 13 - Prob. 38PCh. 13 - Suppose the magnetic field of the preceding...Ch. 13 - A coil of 1000 turns encloses an area of 25 cm2....Ch. 13 - In the circuit sho in the accompanying figure, the...Ch. 13 - The rod shown in the accompanying figure is moving...Ch. 13 - A 25-cm nod moves at 5.0 m/s in a plane...Ch. 13 - In the accompanying figure, the rails, connecting...Ch. 13 - The rod shown below moves to the right on...Ch. 13 - Shown below is a conducting rod that slides along...Ch. 13 - Calculate the induced electric field in a 50-tuni...Ch. 13 - The magnetic field through a circular loop of...Ch. 13 - The current I through a long solenoid with n trims...Ch. 13 - Calculate the electric field induced both inside...Ch. 13 - Prob. 51PCh. 13 - The magnetic field at all points within the...Ch. 13 - The current in a long solenoid of radius 3 cm is...Ch. 13 - The current in a long solenoid of radius 3 cm and...Ch. 13 - Design a current loop that, when rotated in a...Ch. 13 - A flat, square coil of 20 turns that has sides of...Ch. 13 - A 50-turn rectangular coil with dimensions...Ch. 13 - The square armature coil of an alternating current...Ch. 13 - A flip coil is a relatively simple device used to...Ch. 13 - The flip coil of the preceding problem has a...Ch. 13 - A 120-V, series-wound motor has a field resistance...Ch. 13 - A small series-wound dc motor is operated from a...Ch. 13 - Shown in the following figure is a long, straight...Ch. 13 - A metal bar of mass 500 g slides outward at a...Ch. 13 - A current is induced in a circular loop of radius...Ch. 13 - A metal bar of length 25 cm is placed...Ch. 13 - A coil with 50 turns and area 10cm2 is oriented...Ch. 13 - A 2-turn planer loop of flexible wire is placed...Ch. 13 - The conducting rod shown in the accompanying...Ch. 13 - A circular loop of wire of radius 10 cm is mounted...Ch. 13 - The magnetic field between the poles of a...Ch. 13 - A long solenoid of radius a with n turns per unit...Ch. 13 - A 120-V, series-wound dc motor draws 0.50 A from...Ch. 13 - The armature and field coils of a series-wound...Ch. 13 - A copper wire of Length I is fashioned into a...Ch. 13 - A 0.50-kg copper sheet drops through a uniform...Ch. 13 - A circular copper disk of radius 7.5 on rotates at...Ch. 13 - A short rod of length a moves with its velocity...Ch. 13 - A rectangular circuit containing a resistance R is...Ch. 13 - Two infinite solenoids cross the plane of the...Ch. 13 - An eight-turn coil is tightly wrapped around the...Ch. 13 - Shown below is a long rectangular loop of width w,...Ch. 13 - A square bar of mass m and resistance R is sliding...Ch. 13 - The accompanying figure shows a metal disk of...Ch. 13 - A long solenoid with 10 turns per centimeter is...Ch. 13 - The current in the long, straight wire shown in...Ch. 13 - A 500-turn coil with a 0.250m2 area is spun in...Ch. 13 - A circular loop of wire of radius 10 cm. is...Ch. 13 - A long solenoid of radius a with n turns per unit...Ch. 13 - A rectangular copper loop of mass 100 g and...Ch. 13 - A metal bar of mass m slides without friction over...Ch. 13 - A time-dependent uniform magnetic field of...
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- Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 × 10-6 J?arrow_forwardA square, flat loop of wire is pulled at constant velocity through a region of uniform magnetic field directed perpendicular to the plane of the loop as shown in Figure OQ23.9. Which of the following statements are correct? More than one statement may be correct. (a) Current is induced in the loop in the clockwise direction. (b) Current is induced in the loop in the counterclockwise direction. (c) No current is induced in the loop. (d) Charge separation occurs in the loop, with the top edge positive. (e) Charge separation occurs in the loop, with the top edge negative.arrow_forwardThe bar in Figure OQ23.10 moves on rails to the right with a velocity v, and a uniform, constant magnetic field is directed out of the page. Which of the following statements are correct? More than one statement may be correct. (a) The induced current in the loop is zero. (b) The induced current in the loop is clockwise. (c) The induced current in the loop is counterclockwise. (d) An external force is required to keep the bar moving at constant speed. (e) No force is required to keep the bar moving at constant speed.arrow_forward
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- A rectangular coil of N turns and area A is rotated with a frequency f in a uniform magnetic field B (that is perpendicular to the axis rotation, cf. (a) If this generator were connected to a resistor R, find an expression for the current through the resistor as a function of time. (b) If the loop is rotated at a frequency of f = 60.0 rev/s in a uniform magnetic field with magnitude 0.50 T, what is the value of N A needed to produce a voltage amplitude of 170 V.arrow_forwardSuppose we are given a square coil that is 3.0 cm on a side containing 100 loops of very fine wire. The total resistance of this coil is 1.2 ✕ 10−3 Ω. This coil is initially centered on the origin with its sides parallel to the x- and y-axes. It is being rotated about the y-axis in a uniform magnetic field of 2.0 T along the z-axis, with an angular velocity of 2.0 rad/sec. Find the magnitude of the peak value of the induced current flowing in this coil under these conditions.arrow_forwardA circular coil of radius 5.0cm and resistance 0.20ohm is placed in a uniform magnetic field perperndicular to the plane of the coil. The magnitude of the field changes with time according to B=0.50e−20t T. Calculate the magnitude of the current induced in the coil at the t=2.0sarrow_forward
- The component of the external magnetic field along the central axis of a 50 turn coil of radius 40.0 cm decreases from 2.90 T to 0.550 T in 3.00 s. The resistance of the coil is 4.50 Ohms. What is the magnitude of the current induced in the coil?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_forwardA conducting rod is pulled horizontally with constant force F= 3.90 N along a set of rails separated by d= 0.440 m. A uniform magnetic field B= 0.500 T is directed into the page. There is no friction between the rod and the rails, and the rod moves with constant velocity v= 4.80 m/s. The emf around the loop causes a current to flow. How large is that current? (Again, use a positive value for clockwise direction.)arrow_forward
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