3. Helmholtz coils are two large circular coils with N tightly wound turns of radius R with the current I. The centers of the coils are separated by R, as shown in the figure. (a) Using Biot-Savart’s law, find the magnetic field (direction and magnitude) along the line joining the cen- ters as a function of / the distance from center of the left y 00 R coil. Express the result in terms of H, N, R, I and 4.(see the figure) (R R (b) Using the expression above, determine magnetic field at /= 0 and /= Express the result in terms of µ, I, N and R.
3. Helmholtz coils are two large circular coils with N tightly wound turns of radius R with the current I. The centers of the coils are separated by R, as shown in the figure. (a) Using Biot-Savart’s law, find the magnetic field (direction and magnitude) along the line joining the cen- ters as a function of / the distance from center of the left y 00 R coil. Express the result in terms of H, N, R, I and 4.(see the figure) (R R (b) Using the expression above, determine magnetic field at /= 0 and /= Express the result in terms of µ, I, N and R.
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter30: Sources Of The Magnetic Field
Section: Chapter Questions
Problem 30.58AP: A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its...
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How do we do this one? (both a and b of this)
Transcribed Image Text:3. Helmholtz coils are two large circular coils with N tightly wound turns of radius R with the
current I. The centers of the coils are separated by R, as shown in the figure.
(a) Using Biot-Savart's law, find the magnetic field
(direction and magnitude) along the line joining the cen-
ters as a function of / the distance from center of the left
y
00
coil. Express the result in terms of µ,, N, R, I and7.(see
the figure)
R
(b) Using the expression above, determine magnetic field at /= 0 and /=
Express the result
in terms of u, I, N and R.
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