One ring of radius a is uniformly charged with charge +Q and is placed so its axis is the x-axis. A second ring with charge –Q is placed concentric with the first and in the same plane. The radius of this ring is a/2. If a = 1m and Q = 3µC, what force is exerted on an electron 5m to the right of these along their common axis?

The force exerted on an electron is

Explanation:

Given that,

Charge = 3 μC

Radius a=1 m

Distance  = 5 m

We need to calculate the electric field at any point on the axis of a charged ring

Using formula of electric field

Put the value into the formula

Using formula of electric field again

Put the value into the formula

We need to calculate the resultant electric field

Using formula of electric field

Put the value into the formula

We need to calculate the force exerted on an electron

Using formula of electric field

Put the value into the formula

Hence, The force exerted on an electron is

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