Consider a solid cylinderical conductor with radius R=10cm that carries a current I1=−9mA 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 r1=8cm. The magnetic field b) Find the magnitude of magnetic field at point r2=12cm. magnitude of the magnetic field Give your answer to at least three significance digits. c) Draw a diagram of B(r) vs r with respect to the symmetry axis of the cylindrical conductor.

Principles of Physics: A Calculus-Based Text
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Chapter22: Magnetic Forces And Magnetic Fields
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Consider a solid cylinderical conductor with radius R=10cm that carries a current I1=−9mA 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 r1=8cm.

The magnetic field

b) Find the magnitude of magnetic field at point r2=12cm.

magnitude of the magnetic field

Give your answer to at least three significance digits.

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 I2=−5mA

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 I2=−5mA

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C2. Vacuum permitivity, eo = 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 = -1.60217662 x 10 19 C. Mass of one
electron, m. = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol caries their usual meaning. For example, µC means micro coulomb
Fig.1
Consider a solid cylinderical conductor with radius R = 10 cm that carries a current I
9mA 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
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C2. Vacuum permitivity, eo = 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 = -1.60217662 x 10 19 C. Mass of one electron, m. = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol caries their usual meaning. For example, µC means micro coulomb Fig.1 Consider a solid cylinderical conductor with radius R = 10 cm that carries a current I 9mA 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
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
5 т.A
*P
Fig-2
Calculate the magnitude of magnetic field at point p located at d
48 cm distance away from the cylindrical axis considering the radius of the shell to
be R2 = d/2.
Magnitude of the magnetic field
Give your answer to at least three significance digits.
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Transcribed Image Text: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 5 т.A *P Fig-2 Calculate the magnitude of magnetic field at point p located at d 48 cm distance away from the cylindrical axis considering the radius of the shell to be R2 = d/2. Magnitude of the magnetic field Give your answer to at least three significance digits. Activate Windows Go to Settings to activate Windou T
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