Concept explainers
(a)
Whether the force on one plate can be accounted for by thinking of the electric filed between the plates as exerting a negative pressure equal to the energy density of the electric field.
(a)
Answer to Problem 60AP
The force on one plate can be accounted for by thinking of the electric filed between the plates as exerting a negative pressure equal to the energy density of the electric field.
Explanation of Solution
Write the expression to calculate the electric fields between the plates.
Here,
Write the expression to calculate the force.
Here,
Write the expression to calculate the force on one plate.
Write the expression to calculate the energy density of the electric field.
Here,
Negative sign indicates that the plates are drawn towards each other.
Equate equation (I) and (II).
Conclusion:
Therefore, the force on one plate can be accounted for by thinking of the electric filed between the plates as exerting a negative pressure equal to the energy density of the electric field.
(b)
The force per area acting on the sheet due to the magnetic field.
(b)
Answer to Problem 60AP
The force per area acting on the sheet due to the magnetic field is
Explanation of Solution
Write the expression for magnetic field due to one plate using Ampere’s law.
Here,
Write the expression to calculate the force per unit area.
Here,
Substitute
Conclusion:
Therefore, the force per area acting on the sheet due to the magnetic field is
(c)
The net magnitude field between the sheets and the field outside of the volume between them.
(c)
Answer to Problem 60AP
The net magnitude field between the sheets is
Explanation of Solution
Write the expression for magnetic field due to one plate using Ampere’s law.
Here,
Write the expression to calculate the total magnetic field.
Substitute
The magnetic field between the sheets is perpendicular to the plane of the page and magnetic field outside is zero.
Conclusion:
Therefore, the net magnitude field between the sheets is
(d)
The energy density in the magnetic field between the sheets.
(d)
Answer to Problem 60AP
The energy density in the magnetic field between the sheets is
Explanation of Solution
Write the expression for energy density in the magnetic field.
Substitute
Conclusion:
Therefore, the energy density in the magnetic field between the sheets is
(e)
The force on one sheet can be accounted by magnetic field between the sheets as exerting a positive pressure equal to its energy density.
(e)
Answer to Problem 60AP
The force on one sheet is be accounted by magnetic field between the sheets as exerting a positive pressure equal to its energy density.
Explanation of Solution
Write the expression total magnetic field.
Write the expression for force on one sheet of paper.
Substitute
Write the expression for energy density.
Here,
Conclusion:
Therefore, the force on one sheet is be accounted by magnetic field between the sheets as exerting a positive pressure equal to its energy density.
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Chapter 32 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
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