Concept explainers
To show that the electric field on the axis at a distance
Answer to Problem 78E
The electric field on the axis at a distance
Explanation of Solution
Draw a diagram of a ring with a small circular element of charge
Here,
From the figure:
Write the expression for the electric field due to a point charge.
Here,
Write the
Replace
Write the expression for the surface charge density.
Here,
Write the area of the elemental ring.
Write the charge of the elemental ring.
Replace
Substitute the value of
Conclusion:
Write the expression for the field
Integrate both sides of the above equation from limits
Solve the above equation to get the final answer.
Therefore, the electric field on the axis at a distance
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Chapter 16 Solutions
General Physics, 2nd Edition
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