Concept explainers
(a)
The electric field the rod creates at the point
(a)
Answer to Problem 6P
The electric field the rod creates at the point
Explanation of Solution
Given info: The linear density of the rod is
The value of permittivity of free space is
The figure given below shows the location of the thin rod with respect to axis.
Figure (1)
The formula for the electric field due to long wire is,
Here,
Substitute
Conclusion:
Therefore, the electric field the rod creates at the point
(b)
The magnetic field the rod creates at the point
(b)
Answer to Problem 6P
The magnetic field the rod creates at the point
Explanation of Solution
Given info: The linear density of the rod is
The value of the permeability constant is
The expression for the current in the wire is,
Here,
Substitute
Thus, the current in the wire is
The formula for the magnetic flux due to wire is,
Here,
Substitute
Conclusion:
Therefore, the magnetic field the rod creates at the point
(c)
The force exerted on an electron at point
(c)
Answer to Problem 6P
The force exerted on an electron at point
Explanation of Solution
Given info: The linear density of the rod is
The charge on an electron is
The Lorentz force on the electron is,
Here,
Substitute
Conclusion:
Therefore, the force exerted on an electron at point
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Chapter 24 Solutions
Principles of Physics: A Calculus-Based Text
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