A circular loop made from a flexible,conducting wire is shrinking. Its radius as afunction of time is T ToeToe-t. The loop isperpendicular to a steady, uniform magneticfield B. Find an expression for the induced in the loop at time t.Express your answer in terms of the variables ro, B, t, B, and appropriateconstants.{(t) =SubmitWEI ΑΣΦΑ 1Request Answer?

The induced electromotive force (emf) in the loop is given by Faraday's Law of electromagnetic…

Answered: A circular loop made from a flexible,…

A circular loop made from a flexible, conducting wire is shrinking. Its radius as a function of time is T = Toe Pt. The loop is perpendicular to a steady, uniform magnetic field B.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is…

A: We have known data- Length of a side of the square coil, L=10 cm=0.1 m Current flowing in coil,…

Q: A current of 14.3 A is maintained in a single circular loop having a circumference of 80 cm. An…

A: Current I=14.3 A Circumference of the loop 2πr=80cm=0.8m Radius of the loop r=0.8m2π Magnetic field…

Q: A conductor of mass 0.720 kg rests on two parallel rails as in the figure that is d=12.0 cm apart…

A: Given,

Q: a current of 2 mA is following in the counterclockwise direction in the rectangular coil of 20…

Q: A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d…

A: The kinetic energy of the rod is

Q: A rod of mass 0.720 kg and radius 6.00 cm rests on two parallel rails (see figure below) that are d…

Q: A circular loop of radius 10 cm, carrying a current of 0.60 A , is placed inside a magnetic field…

Q: A flat, 137 turn current-carrying loop is immersed in a uniform magnetic field. The area of the loop…

A: Given: Number of turns, N=137 Area, A=8.95cm² Angle between magnetic dipole moment and field, θ=52.7…

Q: A conducting loop in the shape of a square of edge length l=0.4cm carries a current I=10A in…

A: Given data *The edge length of the square is l = 0.4 m *The current is I = 10 A

Q: A wire of length l = 5.0m carries a current of 40 A between the opposite poles of a magnet at an…

Q: A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is…

A: Given Data:- A=0.10 m×0.10 m A=0.01 m2 N=20 I=12 AmP θ=30° B=0.80…

Q: A square loop of wire with side L has a constant current I flowing clockwise. A magnetic field in…

A: Given : A square loop of wire with side L and a constant current I flowing clockwise. A magnetic…

Q: A circular coil with 232 turns has a radius of 2.4 cm. (a) What current through the coil results in…

Q: A 23-loop circular coil 18-cm in diameter lies in the xy-plane. The current in each loop of the coil…

Q: A conductor of mass 0.720 kg rests on two parallel rails as in the figure that is d=12.0 cm apart…

A: This problem can be solved using the formula for force acting on a current carrying conductor in…

Q: A rectangular loop of wire with length 0.3 m and height 0.1 m is halfway inside a region of uniform…

Q: A 0.200 kg metal rod carrying a current of 37.0 A glides on two horizontal rails 0.500 m apart. What…

A: When a magnetic field is applied on a current carrying rod in perpendicular direction , then a force…

Q: Two identical, flat, circular coils of wire each have 110 turns and radius R = 0.500 m. The coils…

Q: A 500-turns coil of area A= 4.9×10-2 m² is placed in a uniform magnetic field B= 0.4 T parallel to…

A: The number of the turns in the coil is n = 500. The area of the coil is A = 4.9 x 10-2 m2. The…

Q: A circular coil has 30 turn and a radius 50.00 cm that carries 30.0 mA current. What is the maximum…

A: Torque can be said to be the force that will cause a body to rotate around an axis of motion. When a…

Q: A certain electric motor consists of a thin rectangular coil of current-carrying wire that rotates…

Q: A flat circular coil of wire with diameter of 5.00 cm has 10 turns and carries a current of 1.25 mA.…

Q: The diagram shows a rectangular conducting coil with 8 turns that is in a magnetic field with a…

Q: A metal rod with a length of 20.0 cm lies in the xy-plane and makes an angle of 35.7 with the…

Q: A 1.60 m long rod rotates about an axis through one end and perpendicular to the rod, with a…

Q: In the figure, a copper rod of mass 210 grams rests on a pair of rails 85 cm apart. The rod is…

Q: A loop of a wire has the shape shown in the drawing. The top part of the wire is bent into a…

Q: A rectangular loop has an area 0.75 m2, and has 100 turns of wire, that sits in the horizontal…

Q: A square coil of side 10 cm consists of 20 turns and carries a current of 12 A. The coil is…

Q: A thin conductive bar of mass 0.043 kg and of length 1.37 m is to be levitated using a magnetic…

A: m=0.043 kgL=1.37 mB=0.74 Tg=9.81 m/s2

Q: to slide on two parallel conducting ba shown in the figure. A resistor R = 5 [ connected across the…

A: Given: The length of the conducting rod is 8 cm or 0.08 m. The resistance is 5 Ω.…

Q: A 11.0 g wire of length 69.8 cm is suspended by a pair of flexible leads in a uniform magnetic field…

Q: A current of 5.0 A is maintained in a single circular loop having a circumference of 90 cm. An…

Q: circular coil 20.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.60 A…

A: here we find first magnetic moment M= NIA N =145 Turn i= 2.60 amp A= 3.14 X 0.202 =0.1256 m2 B…

Q: An electron enters a region of space containing a uniform 2.21 × 10-³ T magnetic field. Its speed is…

Q: A particle of mass m and charge q is accelerated along the +x axis (in the plane of the page) from…

A: Given, v=400vB=0.850 Tq=-1.602×10-19 Cm=6.68×10-27 kgWhen the particle enters the region with…

Q: A 0.300 kg metal rod carrying a current of 34.0 A glides on two horizontal rails 0.500 m apart. What…

A: For rod to moves with constant speed, kinetic friction force should be balanced by magnetic force on…

Q: A square conducting loop that measures a = 0.250 m on each side, is placed in a magnetic field. The…

A: Given: The measure of square loop is a=0.250 m. The magnetic field is B=2.60 T. The velocity is…

Q: flat, 173 turn current-carrying loop is immersed in a uniform magnetic field. The area of the loop…

A: Number of turns,(N)=173 -----(1) [Given] Area of the loop,(A)=6.37 x 10-4 m2 -----(2) [Given] The…

Q: A current of 10.9 A is maintained in a single circular loop having a circumference of 80 cm. An…

A: Given: Current I= 10.9A Single circular loop circumference = 80 cm…

Q: A long solenoid is wound with 960 turns per meter of thin wire through which a current of 30.6 mA is…

A: Given that, No of turns per meter, n = 960 turns Current, I = 30.6 mA = 0.0306 A The…

Q: The figure below shows a long straight wire just touching a circular loop carrying a current I1 =…

A: The current in the circular loop in the counterclockwise direction.The radius of the circular loop…

Q: A single-turn square loop of wire, 2.00 cm on each edge, carries a clockwise current of 0.240 A. The…

Q: In the figure below, a metal bar sitting on 2 parallel conducting rails connected to each other by a…

A: Givens: Magnetic field, B=2.10 T Distance between the rails, l=1.2 m Resistance, R=9 Ω Current,…

Q: An electron enters a region of space containing a uniform 2.89 × 10-5 T magnetic field. Its speed 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

A circular loop made from a flexible,
conducting wire is shrinking. Its radius as a
function of time is T Toe
Toe-t. The loop is
perpendicular to a steady, uniform magnetic
field B.

Find an expression for the induced in the loop at time t.
Express your answer in terms of the variables ro, B, t, B, and appropriate
constants.
{(t) =
Submit
WEI ΑΣΦΑ 1
Request Answer
?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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

A proton has a velocity of 1.1X10^2 m/s î +1.8X10^2 m/s ĵ and is located in the z=0 plane at x=3.4m, y=3.6m at some time t=T. Find the magnetic field in the z=0 plane at the following at x=1.9m, y=1.9m.
A particle with a mass of 5.00 x 10-16 kg and a charge of 21.0 nC starts from rest, is accelerated through a potential difference AV, and is fired from a small source in a region containing a uniform, constant magnetic field of magnitude 0.600 T. The particle's velocity is perpendicular to the magnetic field lines. The circular orbit of the particle as it returns to the location of the source encloses a magnetic flux of 15.0 µWb. (a) Calculate the particle's speed. m/s (b) Calculate the potential difference through which the particle was accelerated inside the source. V
A magnetic dipole with a dipole moment of magnitude 0.0306 J/T is released from rest in a uniform magnetic field of magnitude 57.6 mT. The rotation of the dipole due to the magnetic force on it is unimpeded. When the dipole rotates through the orientation where its dipole moment is aligned with the magnetic field, its kinetic energy is 0.573 mJ. (a) What is the initial angle between the dipole moment and the magnetic field? (b) What is the angle when the dipole is next (momentarily) at rest?
A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.27 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.87 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.22 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.90 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
A long solenoid is wound with 960 turns per meter of thin wire through which a current of 34.4 mA is maintained. What is the magnitude of the magnetic field (in units of pT) at any point inside the coil?
A conductor of mass 0.720 kg rests on two parallel rails as in the figure that is d=12.0 cm apart and L=45.0 cm long. The conductor carries a current of I=58.4 A in the direction shown and can slide frictionlessly. A uniform magnetic field of magnitude 2 Tis directed perpendicular to the conductor and the rails. If it starts from rest, what is the kinetic energy ( in J) of the conductor as it leaves the rails? В L Select one: O A. 10.98 Ов. 5.14 OC. 8.64 OD. 10.28 O E. 6.31
A flat, 132 turn current‑carrying loop is immersed in a uniform magnetic field. The area of the loop is 7.47×10−4 m2, and the angle between its magnetic dipole moment and the field is 44.9∘. Find the strength B of the magnetic field that causes a torque of 1.99×10−5 N⋅m to act on the loop when a current of 0.00327 A flows in it. ?= T
Two long, straight wires are oriented perpendicular to the xy-plane. They carry currents of equal magnitude I in opposite directions as shown in the figure. What is the direction of the magnetic field due to these currents at point P ? 米 a P. G a m o O U I w
A current of strength I=1A flows through the copper wire. The wire consists of two straight parts between points A(1,2,3)cm and B(1,3,2)cm and between points B and C(2,1,3)cm. The wire is located in a homogeneous magnetic field of induction B=1T. a) If the total force on the wire is 0, calculate the direction of the magnetic field. b) If we rotate the direction of the magnetic field so that the total force on the wire is the largest, calculate the maximum possible force on the wire.