Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field of strength 0.5 T, which is directly into the page. The rod is pulled to the right at a constant speed of 6 m/s by a force F. The only significant resistance in the circuit comes from the 2-2 resistor shown. (a) What is the voltage induced in the circuit? (b) What is the induced current? (c) What is the magnitude of F? (d) What are the power output of F and the power dissipated in the resistor? B X X 2.0 Ω X X Hint X X X X X X <1 4.0 cm *↓ X a. Voltage of b. An induced current of c. Force F of magnitude X X X X X X X ILL F X X X V is induced. mA flows in counterclockwise ✓ direction. mN is needed to maintain the constant speed.

Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field of strength 0.5 T, which is directly into the page. The rod is pulled to the right at a constant speed of 6 m/s by a force F. The only significant resistance in the circuit comes from the 2-2 resistor shown. (a) What is the voltage induced in the circuit? (b) What is the induced current? (c) What is the magnitude of F? (d) What are the power output of F and the power dissipated in the resistor? B X X 2.0 Ω X X Hint X X X X X X <1 4.0 cm *↓ X a. Voltage of b. An induced current of c. Force F of magnitude X X X X X X X ILL F X X X V is induced. mA flows in counterclockwise ✓ direction. mN is needed to maintain the constant speed.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter13: Electromagnetic Induction

Section: Chapter Questions

Problem 69AP: The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm...

See similar textbooks

Related questions

Q: The point form of Ampere's law tells us that: currents produce steady magnetic fields; the magnetic…

A: Ampere’s circuital law states that line integral of magnetic field forming a closed loop around the…

Q: An insulated coil with 12 turns of radius 50cm is at rest in a uniform magnetic field of 3T. The…

Q: The conducting bar in the figure below is 0.1 m long and moves to the right with a speed of 10 m/s…

A: Length (L) = 0.1 m speed (v) = 10 msMagnetic field strength (B) = 1.5 T

Q: There is a circular conducting loop with diameter = 8 cm that has 400 turns that is placed in a…

Q: A variable magnetic field is perpendicular to a 195-turn coil of area 0.305 m?. The magnetic field…

Q: A conducting bar of length , moves to the right on two frictionless rails as shown in Figure. A…

Q: A square circuit with sides of length ℓ = 0.30 m and R = 10 ? moves with a constant velocity v = 3.0…

A: When a closed circuit brings in a magnetic field or is close to the magnet so that the magnetic…

Q: A square wire loop with 2m sides is perpendicular to uniform magnetic field, with half the area of…

Q: Example 4: A single circular loop is placed inside a uniform magnetic field B. The coil has area A =…

A: Given, The area of the coil, A = 0.0183 m2Resistance, R = 0.5 ΩIind = 2.4×10-3 A(a) From Maxwell's…

Q: A 12 turn conductive loop with an enclosed area of 0.62m2 exists in the plane of the page. A…

A: The Faraday's law of induction states that an emf is induced in a coil when the magnetic flux…

Q: A conducting bar of length { moves to the right on two frictionless rails, as shown in the figure…

Q: Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A square loop of wire, with sides of length 12 cm, is bent by 90° along a line halfway between two…

A: Write the formula for the magnetic flux.

Q: The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is…

A: Given,

Q: A conducting rod with a length of 27.0 cm is placed on a U-shaped metal wire that includes a light…

A: Given : Length of the rod, L = 27 cm = 27×10-2 m Resistance of the bulb, R = 80 Ω…

Q: The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is…

Q: In the drawing below a wire is looped as shown -- note that the wire crosses over top of itself with…

A: Given values. resistance R=4.7Ω Side of large loop L = 19 cm Side of small loop l=192cm magnetic…

Q: A rectangular conducting loop has sides a = 0.065 m, sides b = 0.15 m, and resistance R = 55 Ω. It…

Q: The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is…

A: R = 5.80 Ω Magnetic field B = 2.50 T l = 1.20 m v = 2.50 m/s

Q: A rectangular coil of wire is placed in a constant magnetic field whose magnitude is 0.60T as shown…

A: Given data: Magnetic field (B) = 0.60 T Area (A) = 3 cm2 = 3×10-4 m2 Angle between plane of coil…

Q: A conductive rectangular loop is being pulled at constant speed v out of a region of uniform…

Q: A circular metal loop of radius a=1m spins with a constant angular velocity o = 20n rad/s in a…

Q: A square loop of side 2 cm is placed 1 cm from a long wire carrying a current that varies with time…

A: Given information: The side length of the square loop, a=2 cm=0.02 m The rate of change of current,…

Q: A metal bar of length L = 2.8 m slides along two horizontal metal rails as shown in the figure…

Q: Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform…

Q: A thin 50 cm (0.5 m) long metal bar with mass 0.75 kg rests on (but is not attached to) two metallic…

Q: A square wire loop with 1.7 m sides is perpendicular to a uniform magnetic field, with half the area…

A: we have given side L = 1.7 memf of battery ε =17Vmagnetic field B = 0.035-0.90t

Q: อ 0 Bo 0 อ ปิ ๑ 0

Q: A loop of wire enclosing an area of 0.03 m^2 has a magnetic field passing through its plane at an…

A: Given:Area,A=0.03 m2Magnetic field,B1=0.8 TMagnetic field,B2=0.8 TFind the magnetic flux through…

Q: A circuit is made with a resistor of resistance 25 ohms and a movable bar with length 15 cm moving…

A: The magnetic flux (Φm) through a surface is Φm=BlxSince B and l are constant and the velocity of…

Q: Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is…

A: SOlurion: Given that R = 5.6 ohm B = 2.5 T L = 1.2 m

Q: The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is…

Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

Shown below is a conducting rod that slides along metal rails. The apparatus is in a uniform magnetic field
of strength 0.5 T, which is directly into the page. The rod is pulled to the right at a constant speed of 6 m/s
by a force F. The only significant resistance in the circuit comes from the 2-2 resistor shown. (a) What is
the voltage induced in the circuit? (b) What is the induced current? (c) What is the magnitude of F? (d)
What are the power output of F and the power dissipated in the resistor?
8!
B
X
X
2.0 Ω
X
X
Hint
X
X
X
X
X
X
<1
4.0 cm
*↓ X
X
X
X
X
X
X
X
X
a. Voltage of
b. An induced current of
c. Force F of magnitude
d. Force F does work at the rate of
TI!
F
X
X
X
V is induced.
mA flows in counterclockwise ✓
mN is needed to maintain the constant speed.
mW; power of
direction.
mW is dissipated in the resistor.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: given and asked data

VIEW

Step 2: calculations of EMF, current

VIEW

Step 3: calculations of force

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

How is the percentage change in the strength of the magnetic field across the face of the toroid related to the percentage change in the radial distance from the axis of the toroid?
The accompanying figure shows a metal disk of inner radius r1 and other radius r2 rotating at an angular velocity while in a uniform magnetic field directed parallel to the rotational axis. The brush leads of voltmeter are connected to the dark's inner and outer surfaces as shown. What is the reading of the voltmeter ?
The conducting rod shown in the accompanying figure moves along parallel metal rails that are 25-cm apart. The system is in a uniform magnetic field of strength 0.75 T, which is directed into the page. The resistances of the rod and the rails are negligible, but the section PQ has a resistance of 0.25 . (a) What is the emf (including its sense) induced in the rod when it is moving to tire right with a speed of 5.0 m/s? (b) What force is required to keep the rod moving at this speed? (c) What is the rate at which work is done by this force? (d) What is the power dissipated in the resistor?
Check Your Understanding Shown below is a rod of length l that is rotated counterclockwise around the axis through O by the torque due to mg . Assuming that the rod is in a uniform magnetic field B , what is the emf induced between the ends of the rod when its angular velocity is ? Which end of the rod is at a higher potential?
The magnetic flux through the loop shown in the accompanying figure varies with time according to m=2.00e3tsin(120t) , where m is in milliwebers. What are the direction and magnitude of the current through the 5.00 resistor at (a) t= 0; (b) t=2.17102 s and (c)t=3.00 s?
The magnetic field perpendicular to a single sire loop of diameter 10.0 cm decreases fron 0.50 T to zero. The re Is made of copper and has a diameter of 2.0 mm and length 1.0 cm. How much charge moves thrnugh the re while tt field is changing?
A solenoid is wound with 2000 turns pet meter. When the cuiient is 5.2 A, what is the magnetic field within the solenoid?
Check your Understanding Themagneticfield shown below Is confined to the cylindrical region shown and is changing withtime. Identity those paths for which =EdI0 .
Two flat, circular coils, each with a radius R and wound with JV turns, ace mounted along the same axis so that they are parallel a distance d apart. What is the magnetic field at the midpoint of the common axis if a current I flows in the same direction through each coil?
The two long, parallel wires shown in the accompanying figure carry currents in the same direction. If I1= 10 A and I2= 20 A, what is tire magnetic field at point P?
Check Your Understanding Consider using Ampere’s law to calculate the magnetic fields of a finite straight wire and of a circular loop of wire. Why is it not useful for these calculation?
Suppose you wish to produce 1.2-T magnetic field in a toroid with an iron core for which =4.0103 . The toroid has a mean radius of 15 cm and is wound with 500 turns. What current is required?