Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m/C. Vacuum permitivity, Eg = 8.854 x 10“F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m. = 9.10938356 x 103' kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Fig.1 Consider a solid cylinderical conductor with radius R= 18 cm that carries a current I = 17 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 point ri = 15 cm, The magnetic field Give your answer to at least three significance digits. T b) Find the magnitude of magnetic field at point r2 = 20 cm- 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 Iz = 12 mA

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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m/C. Vacuum permitivity, E0 = 8.854 x 10"F/m.
Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron,
e = -1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 10-81 kg. Unless specified otherwise, each symbol carries their usual
meaning. For example, uC means micro coulomb.
Fig.1
Consider a solid cylinderical conductor with radius R = 18 cm that carries a current I = 17 mAwhich 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 ri = 15 cm
The magnetic field
Give your answer to at least three significance digits.
T
b) Find the magnitude
f magnetic field at point ra = 20 cm.
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 Iz = 12 mA
I,
Fig-2
Calculate the magnitude of magnetic field at point p located at d = 58 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.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m/C. Vacuum permitivity, E0 = 8.854 x 10"F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 10-81 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Fig.1 Consider a solid cylinderical conductor with radius R = 18 cm that carries a current I = 17 mAwhich 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 ri = 15 cm The magnetic field Give your answer to at least three significance digits. T b) Find the magnitude f magnetic field at point ra = 20 cm. 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 Iz = 12 mA I, Fig-2 Calculate the magnitude of magnetic field at point p located at d = 58 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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