University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 13, Problem 8CQ
Does the induced emf always act to decrease the
magnetic flux through a circuit?
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4.) The diagram shows the electric field lines of a positively charged conducting sphere of
radius R and charge Q.
A
B
Points A and B are located on the same field line.
A proton is placed at A and released from rest. The magnitude of the work done by the electric field in
moving the proton from A to B is 1.7×10-16 J. Point A is at a distance of 5.0×10-2m from the centre of
the sphere. Point B is at a distance of 1.0×10-1 m from the centre of the sphere.
(a) Explain why the electric potential decreases from A to B. [2]
(b) Draw, on the axes, the variation of electric potential V with distance r from the centre of the
sphere.
R
[2]
(c(i)) Calculate the electric potential difference between points A and B. [1]
(c(ii)) Determine the charge Q of the sphere. [2]
(d) The concept of potential is also used in the context of gravitational fields. Suggest why scientists
developed a common terminology to describe different types of fields. [1]
3.) The graph shows how current I varies with potential difference V across a component X.
904
80-
70-
60-
50-
I/MA
40-
30-
20-
10-
0+
0
0.5
1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0
VIV
Component X and a cell of negligible internal resistance are placed in a circuit.
A variable resistor R is connected in series with component X. The ammeter reads 20mA.
4.0V
4.0V
Component X and the cell are now placed in a potential divider circuit.
(a) Outline why component X is considered non-ohmic. [1]
(b(i)) Determine the resistance of the variable resistor. [3]
(b(ii)) Calculate the power dissipated in the circuit. [1]
(c(i)) State the range of current that the ammeter can measure as the slider S of the potential divider
is moved from Q to P. [1]
(c(ii)) Describe, by reference to your answer for (c)(i), the advantage of the potential divider
arrangement over the arrangement in (b).
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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