Question:medium
729 small identical spheres each charged to an electric potential 3V combine to form a bigger sphere. The electric potential of the bigger sphere is
729 small identical spheres each charged to an electric potential 3V combine to form a bigger sphere. The electric potential of the bigger sphere is
Show Hint
When N identical spheres of radius $r$ combine to form a single large sphere:
- The new radius is $R = N^{1/3}r$.
- The new charge is $Q = Nq$.
- The new potential is $V_B = N^{2/3}V_s$.
This power law relationship is a useful shortcut for such problems.
Updated On: Mar 30, 2026
- 9 V
- 729 V
- 81 V
- 243 V
Show Solution
The Correct Option is D
Solution and Explanation
Was this answer helpful?
0
Top Questions on Electric Potential And Potential Difference
- Electric field in a region is given by \[ \vec{E} = A x\,\hat{i} + B y\,\hat{j}, \] where \( A = 10 \,\text{V/m}^2 \) and \( B = 5 \,\text{V/m}^2 \). If the electric potential at a point \( (10, 20) \) is \(500\ \text{V}\), then the electric potential at origin is __________ V.
- JEE Main - 2026
- Physics
- Electric Potential And Potential Difference
- The figure represents the variation of the electric potential \( V \) at a point in a region of space as a function of its position along the x-axis. A charged particle will experience the maximum force at:
- CBSE Class XII - 2026
- Physics
- Electric Potential And Potential Difference
- Two points R and S are equidistant from two charges \( +Q \) and \( -2Q \). The work done in moving a charge \( -Q \) from point R to S is:
- CBSE Class XII - 2026
- Physics
- Electric Potential And Potential Difference
Resistance of each side is $R$. Find equivalent resistance between two opposite points as shown in the figure.
- JEE Main - 2026
- Physics
- Electric Potential And Potential Difference
- Want to practice more? Try solving extra ecology questions todayView All Questions