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A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at the centre of the sphere is A. Zero B. 10 V C. Same as at a point 5cm away from the surface D. Same as at a point 25 cm away from the surface

A hollow metal sphere of radius 5 cm is charged such that the potential on its surface is 10 V. The potential at the centre of the sphere is
A. Zero
B. 10 V
C. Same as at a point 5cm away from the surface
D. Same as at a point 25 cm away from the surface

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 9723 Points
10 days ago
Hint: There is no electric field inside a metal object, especially a hollow sphere. Electric potential can be defined as the amount of work done required to move a unit charge from a reference point to the measuring point against the electric field. Complete Step-by-Step solution: From the question itself we can find the answer. In this question we have to take care of two concepts. One is related to the electric field and the other one is about electric potential. The hollow sphere is made up of metal. That is, it can conduct electricity. So, there is no electric field inside the hollow sphere. Electric potential can be defined as the work done per coulomb against the electric field to move a charge from a reference point to a measuring point. In this question, the electric potential is already given. Since the electric field is zero, the potential will be the same everywhere inside the object. That is, the potential at the centre is 10 V. So, the correct option is B. Additional information: It is better to remember this figure to understand potential and electric field due to the charged sphere of radius R. Where E is the electric field and V is the potential. The electric field can be found out by using the formula, E=14πε0Qr2,r>R , if rR , if r

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