The line integral of the magnetic field around a certain closed path is initially L. The current that penetrates this path is then doubled. What can you say about the current through the path if the new integral of the magnetic field around the closed path is (a) L and (b) 2L?

The line integral of the magnetic field around a certain closed path is initially L. The current that penetrates this path is then doubled. What can you say about the current through the path if the new integral of the magnetic field around the closed path is (a) L and (b) 2L?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 79AP: Consider the axial magnetic field Bv=0IR2/2(y2+R2)3/2 of the circular current loop shown below. (a)...

See similar textbooks

Related questions

Q: If a very small loop of current produces a magnetic field of strength B at a distance z away from…

A: The formula for magnetic field on a point at distance z from the loop is B=μ0IR22z2+R232

Q: A wire carrying a current is shaped in the form of a circular loop of radius 2.9 mm. If the magnetic…

Q: A particle of charge q moves in a circle of radius a with speed v. Treating the circular path as a…

A: Torque exerted on loop is given as M x B Here M = magnetic moment B = magnetic field

Q: In the figure, a conductor carries 6.0 A along the closed path obcdefyha running along 8 of the 12…

Q: A long, straight wire carries a current of 0.500 A at an angle of 45.0 ◦ from lower left to upper…

Q: The magnetic field at the center of an infinite solenoid with radius R is found to have a strength…

A: Given data: Original radius = R Magnetic field = B New radius (R') = 2R Number of turns per unit…

Q: A 0.9 uC particle with an initial velocity of 2.5 x10^8 m/s along the positive axis enters the…

A: Here given a charge particle of 0.9μC with an initial velocity 2.5 × 10^8 m/s moves along +ve axis.…

Q: A 2.0C charge moves with a velocity of v = ( 2i + k) m/s in a region where both a uniform magnetic…

Q: An electron travels above a sheet carrying a uniform current per unit width. When an electric field…

A: Lorentz force is described as the result of electromagnetic fields combining magnetic and electric…

Q: A long straight wire carries a current of 40 A in a region where a uniform external magnetic field…

A: Current flowing in wire I = 40 A Magnitude of uniform external magnetic field B = 30 μT Distance at…

Q: An electric current 1 A flows from top to bottom from a spherical conductive shell having radius 3…

Q: Starting from the magnetic field at a distance h about the axis of a circular loop of radius R…

A: we have to find magnetic field at a distance h about the axis of a circular loop of radious R in…

Q: An electron travels above a sheet carrying a uniform current per unit width. When an electric field…

Q: A particle, with charge +4 µC, moving (along +y axis) with the speed 4.5 x 105 m/s enters in a…

A: Given Data : The magnitude of the charge is given as q=4μC The speed of the charge is given as…

Q: A -4.30 µC charge is moving at a constant speed of 7.30 × 10° m/s in the +x-direction relative to a…

Q: In the figure, a conductor carries 8.6 A along the closed path abcdefgha running along 8 of the 12…

A: Given : Current carried by conductor (I) = 8.6 A Edge length (a) = 10 cm = 0.10 m

Q: Consider the long (L> b) cylindrical shell of inner radius a R and outer radius b uniformly…

A: Given: Inner radius of shell, a = R Outer radius of shell, b = 3R Current , I = 4A

Q: A parallel-plate capacitor with circular plates of radius R = 16 mm and gap width d = 5.0 mm has a…

A: solution of question 'a'

Q: Two very long, straight, and insulated wires are kept at 90° angle from each other in xy- plane as…

Q: A circular area with a radius of 5 cm lies in the xy-plane. What is the magnitude of the magnetic…

Q: Is the following True or False for the Gauss's Law for magnetic field? Since there are no magnetic…

A: Given the statement for Gauss' law of magentostatics with its integral form expression. To find,…

Q: I = 7 A current flows from the infinitely long wire along the y axis that intersects the z axis at…

A: The magnetic field due to an infinite wire at a distance r from the wire is given by, ......(1)

Q: A circular plate has a radius of 6 cm in which a displacement current is directed out of the page.…

A: Given, a circular plate has a radius of R=6 cm in which a displacement current is directed out of…

Q: In the figure, two circular arcs have radii a = 13.3 cm and b = 10.9 cm, subtend angle 0 = 74.0°,…

Q: L Consider the long (L » b) cylindrical shell of inner radius 3R as a = R and outer radius b shown…

Q: A 20% Part (d) Calculate the numerical value of the magnitude of the electric force in newtons. ▷ A…

Q: An electron has a velocity equal to i = vyj + v̟k and a constant acceleration å = a,i , in a region…

A: This question is based on moving charges and magnetism topic. A charge in motion in combined…

Q: A wire carries a steady current of 2.20 A. A straight section of the wire is 0.750 m long and lies…

A: As we know movement of electric current may produce magnetic field and this magnetic field…

Q: An infinitely long cylindrical conductor with radius R 1.30 cm carries a current 2.80 A which is…

Q: In Figure, both currents in the infinitely long wires are in the negative x direction. The wires are…

A: Given data: The distance between the wires is x=2a. The current in each wire is I.

Q: The current density in a very long cylindrical conductor of radius 10 cm is given as Jv=200e0.5az…

A: Given that the radius of the cylindrical conductor is r = 10 cm = 0.10 m. The current density is J.…

Q: An electron travels above a sheet carrying a uniform current per unit width. When an electric field…

A: K = 150.05 A/m Explanation: Given: magnitude of electric field E = 200 V/m constant velocity of…

Q: A very long, right circular cylindrical copper wire has an outer radius a and carries a non-uniform…

Q: Two very long, straight, and insulated wires are kept at 90° angle from each other in xy- plane as…

Q: A rectangular surface of length 3.25 cm and width 5.25 cm lies on the y-z plane at x=0. What is the…

Q: The force experienced by a particle of charge q moving with a velocity v in a uniform magnetic field…

A: Direction of cross product is given by Fleming's left hand rule

Q: The segment of wire in Figure carries a current of I=4.00 A. where the radius of the half cirde is…

Q: Let A be the vector potential and B the magnetic field of the infinite solenoid of radius R. Then fo…

A: The given vector potential and magnetic field be defined as, Ar=12R2B-yr2,xr2,0 if…

Q: A constant current of 4.0 A is carried via a wire. A 10m long straight piece of wire sits along the…

A: Current in the wire= 4 A Length of wire = 10 m

Q: I. A charge moving vertically upward with speed v=200. m/s enters a region of constant magnetic…

A: Since you have posted a question with multiple sub-parts, as per our guidelines we will solve first…

Q: A rectangular surface of length 3.25 cm and width 5.25 cm lies on the y-z plane at x=0 . What is the…

Q: A square loop of wire of side l=5.0 cm is in a uniform magnetic field B=0.16 T. What is the…

A: The formula for the magnetic flux in terms of the magnetic field is:

Q: Consider an infinitesimal wire of width da at position x, magnetic field for this sheet of current…

A: given B=μ0iπatan-1a2d we need to check above magnetic field in limiting cases

Q: A rectangular loop of wire that is 68 cm wide and 9 cm long is placed in a region where the…

A: A rectangular loop of wire that is 68 cm wide and 9 cm long is placed in a region where the…

Q: An infinite sheet of current lying in the yz plane carries a surface current of linear density J.…

A: Given: The current density of the sheet is Js. Introduction: Ampere's circuital law states the…

Q: The figure shows the cross section of a long conducting cylinder with inner radius a= 2cm and outer…

A: Magnetic field

Q: A wire carrying a current is shaped in the fom of a circular loop of radius 4.0 mm. If the…

A: A wire carrying a current is shaped in the fom of a circular loop So magnetic field at centre is B…

Question

The line integral of the magnetic field around a certain closed
path is initially L. The current that penetrates this path is then
doubled. What can you say about the current through the path
if the new integral of the magnetic field around the closed path
is (a) L and (b) 2L?

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

Similar questions

A current loop with magnetic dipole moment is placed in a uniform magnetic field , with its moment making angle θ with the field. With the arbitrary choice of U = 0 for θ = 90°, prove that the potential energy of the dipole-field system is .
Determine the magnetic field on the central axis at the opening of a semi-infinite solenoid. (That is, take the opening to be at x = 0 and the other end to be at x= .)
An electron of kinetic energy 2000 eV passes between parallel plates that are 1.0 an apart and kept at a potential difference of 300 V. What is the strength of the uniform magnetic field B that will allow the electron to travel undeflected through the plates? Assume E and B are perpendicular.
A long, straight, horizontal wire carries a left-to-right current of 20 A. If the wire is placed in a uniform magnetic field of magnitude 4.0105 T that is directed vertically downward, what is tire resultant magnitude of the magnetic field 20 cm above the wire? 20 cm below the wire?
Consider the axial magnetic field Bv=0IR2/2(y2+R2)3/2 of the circular current loop shown below. (a) Evaluate aaBydy Also show that limaaaBydy=0I (b) Can you deduce this limit without evaluating the integral? (Hint: See the accompanying figure.)
A circular loop of radius R carries a current I. At what distance along the axis of the loop is the magnetic field one- half its value at the center of the loop?
The current loop shown in the accompanying figure lies in the plane of the page, as does the magnetic field. Determine the net force and the net torque on the loop if I=10and B=1.5T .
A wire element has dI,IdI=JAdl=Jdv , where A and dv are the cross-sectional area and volume of the element, respectively. Use this, the Biot-Savart law, and J=nev to show that the magnetic field of a moving point charge q is given by: B=04qvrr2
Repeat the previous problem, but with the loop lying flat on the ground with its current circulating counterclockwise (when viewed from above) in a location where Earth’s field is north, but at an angle 45.0° below the horizontal and with a strength of 6.0105T.
Check Your Understanding The wire loop forms a full circle of radius R and current I. What is the magnitude of the magnetic field at the center?
A wire ismade into a circular shape of radius R and pivoted along a central support.The two ends of the sire are touching a banish that is connected to a &power source. The stricture is between the poles of a magnet such that we can assume there is a uniform magnetic field on the wire. In terms of a coordinate system with origin at the center ofthe ring, magneticfieldisBx=B0,By=Bz= 0. and the ring rotates about the z-axis. Find the torque on the ring siren it is not in the xz-plane.
Two long wires, one of which has a semicircular tend of radius R, are positioned as shown in the accompanying figure. If both wires carry a current I, how far apart must then parallel sections be so that the net magnetic field at P is zero? Does the current in the straight wire flow up or down?