| Assertion (A): If two spherical conductors of different radii have the same surface charge densities, then their electric field intensities will be equal. |
| Reason (R): Surface charge density = \[\frac{Total\ change}{area}\] |
A) Both A and R are true and R is the correct explanation of A
B) Both A and R are true but R is NOT the correct explanation of A
C) A is true but R is false
D) A is false and R is
Correct Answer: B
Solution :
| Option [b] is correct. |
| Explanation: If \[\sigma \] be the surface charge density of the two spheres of radius r and R, then electric fields for the two spheres are respectively: |
| \[{{E}_{1}}\frac{k4n{{r}^{2}}\sigma }{{{r}^{2}}}=k4\pi \sigma \] |
| \[{{E}_{2}}\frac{k4n{{R}^{2}}\sigma }{{{R}^{2}}}=k4\pi \sigma \] |
| So electric field intensities are equal. The assertion is true. |
| Surface charged density is charge per unit area= Total charge/area. |
| So reason is also true. But the reason does not explain the assertion. |
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