| The electrostatic potential on the surface of a charged conducting sphere is 100 V. |
| Two statements are made in this regard : |
| \[{{S}_{1}}\]: At any point inside the sphere, electric intensity is zero. |
| \[{{S}_{2}}\]: At any point inside the sphere, the electrostatic potential is 100 V |
| Which of the following is a correct statement? |
A) \[{{S}_{1}}\] is true, but \[{{S}_{2}}\] is false.
B) Both \[{{S}_{1}}\] and \[{{S}_{2}}\] are false.
C) \[{{S}_{1}}\] is true, \[{{S}_{2}}\] is also true and \[{{S}_{1}}\] is the cause of \[{{S}_{2}}\].
D) \[{{S}_{1}}\] is true, \[{{S}_{2}}\] is also true but the statements are independent.
Correct Answer: C
Solution :
| Option [c] is correct. |
| Explanation: The relation between electric field intensity E and potential (V) is, |
| \[\operatorname{E}=-\frac{dV}{dr}\] |
| Where, Electric field intensity, E = 0 inside the sphere So that, \[\frac{dV}{dr}=0\] |
| This means that V = constant. So, if E = 0 inside charged sphere, the potential is constant or V = 100 V everywhere inside the sphere and it verifies the shielding effect also. So, it verifies the option (c). |
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