(a)
The magnetic field at the surface of the inner conductor.
(a)
Answer to Problem 75AP
The magnetic field at the surface of the inner conductor is
Explanation of Solution
Write the expression for power.
Her,
Rewrite the above equation for
Write the expression for magnetic field.
Here,
Substitute
Conclusion:
Substitute
Further solve the above equation.
Therefore, magnetic field at the surface of the inner conductor is
(b)
The magnetic field at the inner surface of the outer conductor.
(b)
Answer to Problem 75AP
The magnetic field at the inner surface of the outer conductor is
Explanation of Solution
Conclusion:
Substitute
Further solve the above equation.
Therefore, magnetic field at the inner surface of the outer conductor is
(c)
The energy stored in the magnetic field in the space between the conductors in a
(c)
Answer to Problem 75AP
The energy stored in the magnetic field in the space between the conductors is
Explanation of Solution
Write the expression for energy stored in the magnetic field.
Here,
Substitute,
Conclusion:
Substitute
Substitute
Therefore, the energy stored in the magnetic field in the space between the conductors is
(d)
The pressure exerted on the outer conductor due to the current in the inner conductor.
(d)
Answer to Problem 75AP
The pressure exerted on the outer conductor due to the current in the inner conductor is
Explanation of Solution
Consider a small rectangular section of the outer cylinder of length
Write the expression for the force.
Here,
Substitute
Write the expression for pressure.
Here,
Substitute
Conclusion:
Substitute
Therefore, the pressure exerted on the outer conductor due to the current in the inner conductor is
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Chapter 32 Solutions
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