Helmholtz coils are frequently used in experiments because they create a uniform magnetic field about their central axis. Forexample, they are traditionally used in the experiment for the measurement of the charge-to-mass ratio of the electron. Helmholtzcoils are two coils separated by a distance equal to their radius and also carry equal currents in the same direction, as shown inthe figure. Suppose the radius of the coils is R = 18.50 cm and each coil carries a current of I = 9.00 A and has%3D%3DN = 420.0 turns. The coils are in the yz plane where one coil's center is at x = 0 the other coil's center is at x = R.%3DUsing the Biot-Savart law, determine the expression for the resultant magnetic field By along the line x joining their centers.Express the magnetic field in terms of the radius of the coils R, the number of turns N, the current I, x, and the permeability offree space, lo.H0-1.R.NBx =%3D(R²+x²)*(R²+(x-R)²)Ex= RBX.Evaluate the magnetic field B, at x = 4.625 cm (R) and x = 13.88 cm (R).1.829 ×10-218.3 X10-2B, (4.625) =TB (13.88) =Incorrect

Given:R = 18.50 cm = 0.185 mI = 9 AN = 42 turns

Helmholtz coils are frequently used in experiments because they create a uniform magnetic field about their central axis. For example, they are traditionally used in the experiment for the measurement of the charge-to-mass ratio of the electron. Helmholtz coils are two coils separated by a distance equal to their radius and also carry equal currents in the same direction, as shown in the figure. Suppose the radius of the coils is R = 18.50 cm and each coil carries a current of I = 9.00 A and has N = 420.0 turns. The coils are in the yz plane where one coil's center is at x = 0 the other coil's center is at x = R. Using the Biot-Savart law, determine the expression for the resultant magnetic field B, along the line x joining their centers. Express the magnetic field in terms of the radius of the coils R, the number of turns N, the current I, x, and the permeability of free space, lo.

Helmholtz coils are frequently used in experiments because they create a uniform magnetic field about their central axis. For example, they are traditionally used in the experiment for the measurement of the charge-to-mass ratio of the electron. Helmholtz coils are two coils separated by a distance equal to their radius and also carry equal currents in the same direction, as shown in the figure. Suppose the radius of the coils is R = 18.50 cm and each coil carries a current of I = 9.00 A and has N = 420.0 turns. The coils are in the yz plane where one coil's center is at x = 0 the other coil's center is at x = R. Using the Biot-Savart law, determine the expression for the resultant magnetic field B, along the line x joining their centers. Express the magnetic field in terms of the radius of the coils R, the number of turns N, the current I, x, and the permeability of free space, lo.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter22: Magnetic Forces And Magnetic Fields

Section: Chapter Questions

Problem 71P: Assume the region to the right of a certain plane contains a uniform magnetic field of magnitude...

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