The concept used to solve this question is the electric field due to a uniformly charged sphere.
Initially, explain the mathematical formula for finding the electric field due to a uniformly charged sphere. After that, using the formula of the electric field due to a uniformly charged sphere determine the magnitude of the electric field at the given point.
Electric field due to uniformly charged sphere:
The electric field due to the charged sphere can be expressed as,
Here, is the electric field due to the charged sphere, is the magnitude of charge carried by the sphere, is the distance from the center of the sphere and the point at which the field is calculated and is a constant
The electric field due to the charged sphere can be expressed as,
Here, is the electric field due to the charged sphere, is the magnitude of charge carried by the sphere, is the distance from the center of the sphere and the point at which the field is calculated and is a constant.
Value of constant is .
Mathematically, the electric field at a point outside the sphere can be calculated using,
The point is located at a point outside the sphere.
So the value of can be evaluated as,
Substitute for , for and for
The value of the electric field is calculated as .
Ans:The value of the electric field outside the point is .
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