Charge is uniformly distributed around a ring of radius R = 4.60 cm, and the resulting electric field magnitude R is measured along the ring's central axis (perpendicular to the plane of the ring). At what distance from the ring's center is E maximum ?

Explanation

To find the distance from the ring's center where the electric field \( E \) is maximum, we follow these steps:

### Step 1: Understand the Electric Field Due to a Ring
The electric field \( E \) at a distance \( x \) from the center of a uniformly charged ring of radius \( R \) and total charge \( Q \) is given by the formula:
\[ E = \frac{kQx}{(x^2 + R^2)^{3/2}} \]
where \( k \) is Coulomb's constant.
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