Consider a solid cylinderical conductor with radius R= 14 cm that carries a current I, = -15 mA which is uniformly distributed along it's cross section. Note:Negetive direction of current points in the direction opposite to that of shown in the figure a) Find the magnitude of the magnetic field at point r, = 12 cm. The magnetic field Give your answer to at least three significance digits. b) Find the magnitude of magnetic field at point rg = 16 cm. magnitude of the magnetic field Give your answer to at least three significance digits.

University Physics Volume 2
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ISBN:9781938168161
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Chapter11: Magnetic Forces And Fields
Section: Chapter Questions
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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C2. Vacuum permitivity, €o = 8.854 x 10-12 F/m. Magnetic
Permeability of vacuum, Ho = 12.566370614356 x 10-7 H/m. Magnitude of the Charge of one electron, e =
electron, m. = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb
-1.60217662 x 10-19 C. Mass of one
Ry
Fig. 1
Consider a solid cylinderical conductor with radius R = 14 cm that carries a current I, = -15 mA which is uniformly distributed along it's cross
section.
Note:Negetive direction of current points in the direction opposite to that of shown in the figure
a) Find the magnitude of the magnetic field at point r,
12 ст.
The magnetic field
Give your answer to at least three significance digits.
b) Find the magnitude of magnetic field at point r2
16 ст.
magnitude of the magnetic field
Give your answer to at least three significance digits.
T
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C2. Vacuum permitivity, €o = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10-7 H/m. Magnitude of the Charge of one electron, e = electron, m. = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb -1.60217662 x 10-19 C. Mass of one Ry Fig. 1 Consider a solid cylinderical conductor with radius R = 14 cm that carries a current I, = -15 mA which is uniformly distributed along it's cross section. Note:Negetive direction of current points in the direction opposite to that of shown in the figure a) Find the magnitude of the magnetic field at point r, 12 ст. The magnetic field Give your answer to at least three significance digits. b) Find the magnitude of magnetic field at point r2 16 ст. magnitude of the magnetic field Give your answer to at least three significance digits. T
c) Draw a diagram of B(r) vs r with respect to the symmetry axis of the cylindrical conductor.
d) The solid cylindrical conductor is now placed inside a cylindrical shell. Cylindrical axis of both the cylinder coinsides with each other(Fig-2). The total
current through the shell is I
13 mA
Fig-2
Calculate the magnitude of magnetic field at point p located at d = 61 cm distance away from the cylindrical axis considering the radius of the shell to
be R = d/2.
Magnitude of the magnetic field
Give your answer to at least three significance digits.
т
Transcribed Image Text:c) Draw a diagram of B(r) vs r with respect to the symmetry axis of the cylindrical conductor. d) The solid cylindrical conductor is now placed inside a cylindrical shell. Cylindrical axis of both the cylinder coinsides with each other(Fig-2). The total current through the shell is I 13 mA Fig-2 Calculate the magnitude of magnetic field at point p located at d = 61 cm distance away from the cylindrical axis considering the radius of the shell to be R = d/2. Magnitude of the magnetic field Give your answer to at least three significance digits. т
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