The Electric Field Along the Axis of a Ring-Shaped Charge

question 93

Short Answer

The electric field along the axis of a ring-shaped charge of total charge Q distributed uniformly is given by E = Qx/(4π ^ε0 (x²+ a²)^3/2) where a is the radius of the ring and x is the distance from the center of the ring. The electric field at the center of the ring is zero and at great distances from the ring approaches zero. At what position is the electric field a maximum for positive values of x?

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