Question

An unchanged conductor $\text{A}$ is brought near a positively charged conductor $\text{B}$, then

• A. the charge on $\text{B}$ will not change but the potential of $\text{B}$ will decrease.
• B. the charge on $\text{B}$ will increase but potential of $\text{B}$ will not change.
• C. the charge on $\text{B}$ will not change but the potential of $\text{B}$ will increase.
• D. the charge on $\text{B}$ will decrease but potential of $\text{B}$ will not change.

Answer 1

The correct option is A the charge on $\text{B}$ will not change but the potential of $\text{B}$ will decrease.



When sphere $\text{A}$ is brought near $\text{B}$, charge will get induced on the sphere $\text{A}$ as shown.


The charge on sphere $\text{B}$ is conserved, so charge on $\text{B}$ will not change.

Now due to this induced charge in sphere $\text{A}$, the potential of $\text{B}$ will be affected. As the negative charge is closer to $\text{B}$ than the positive charge, the potential of $\text{B}$ will decrease.

Hence, option (b) is correct.