Class 12

19. Electric Potential And Capacitance question bank (Physics)

Practice 2,950 free Class 12 Physics - 19. Electric Potential And Capacitance questions with answers and step-by-step solutions.

Q1.

Two concentric spheres of radii \(R\) and \(r\) have positive charges \(q_1\) and \(q_2\) with equal surface charge densities. What is the electric potential at their common centre?  

(A)
\(\frac{\sigma}{\varepsilon_0}(R+r)\)
(B)
\(\frac{\sigma}{\varepsilon_0}(R-r)\)
(C)
\(\frac{\sigma}{\varepsilon_0}\left(\frac{1}{R}+\frac{1}{r}\right)\)
(D)
\(\frac{\sigma}{\varepsilon_0}\left(\frac{R}{r}\right)\)
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Q2.

The electric field in a region is given by \(\vec{E} = \left(\frac{A}{x^3}\right)\hat{i}\). An expression for the potential in the region, assuming the potential at infinity to be zero, is  

(A)
\(\frac{A}{2x^3}\)
(B)
\(\frac{2x^2}{A}\)
(C)
\(\frac{A^2}{2x}\)
(D)
\(\frac{A}{2x^2}\)
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