Question

The purple object below is an isolated electrically neutral sphere.
Below the purple sphere is the same sphere while it is being influenced by a smaller sphere with a large amount of negative charge.
The differences in color for the larger sphere demonstrate that the smaller, negatively charged sphere has influenced the larger sphere so that some electrons have moved left, causing the left side to become negative and the right side to become positive, although the large sphere remains neutral, as a whole.
Which of the following tables best describes the electric field and electric potential inside the large sphere, while the small, negative sphere is near it?

• A. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, zero - same everywhere
• B. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing left - higher on right
• C. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing left - same everywhere
• D. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing right - higher on left
• E. Electric Field Inside Large Sphere - Electric Potential Inside Large Sphere, non-zero pointing right - same everywhere

Answer 1

Answer: (A)

Option (A) is correct.

Explanation :- Inside the conductor $\overrightarrow{E}$ must be zero. $\therefore$ That's why the induces charges will arrange themself in a way to cancel out, the external electric field provided by the large negative charge.

If electrical field is not zero inside the conductor, the charges will move by around in a response to it and it wouldn't have a stable configuration for electric potential $V$, we know that $\frac{dv}{dr}=E$

if $E=0$, $v=$constant / some every where.