First slide

Electrostatic potential

Question

The electrostatic potential on the surface of a charged conducting sphere is 100 V. Two statements are made in this regard:
S₁: At any point inside the sphere, electric field intensity is zero.
S₂ : At any point inside the sphere, the electrostatic potential is 100 V.
Which of the following is a correct statement?

Easy

A

S₁ is true but S₂ is false
B

Both S₁ and S₂ are false
C

S₁ is true, S₂ is also true and S₁ is the cause of S₂
D

S₁ is true, S₂ is also true but the statements are independent

Solution

The electric field intensity E and electric potential V are related as $E = - \frac{dV}{dr}$
Electric field intensity E = 0 suggest that $\frac{dV}{dr} = 0$
This imply that V = constant.
Thus, E = 0 inside the charged conducting sphere
causes the same electrostatic potential 100 V at any
point inside the sphere.

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