Q. 45

Expert-verifiedFound in: Page 655

Book edition
4th

Author(s)
Randall D. Knight

Pages
1240 pages

ISBN
9780133942651

Show that the on-axis electric field of a ring of charge has the expected behavior when and when .

Electrical field of a ring of charge,

The electric field radiates outward in altogether directions from the purpose charge. Spherical equipotential surfaces are represented by the circles. A vector of the individual fields are often wont to calculate the electrical field from any amount of point charges.

The Horizontal component is

The vertical components are equal and opposite and cancel each other.

Applying integration and substituting the value to the equation,

Due to electric field at in .

:

(At and center of circle)

If

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