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  • Two concentric uniformly charged spheres of radius 10 cm & 20 cm are arranged as shown in the figure. Potential difference between the spheres is:         &nb

Two concentric uniformly charged spheres of radius 10 cm & 20 cm are arranged as shown in the figure. Potential difference between the spheres is:  

                                       

 

Option: 1

4.5\times 10^{11}\; V       


Option: 2

2.7\times 10^{11}\; V


Option: 3

0


Option: 4

none of these


Answers (1)

best_answer

 

Potential Due to 2 Concentric Spheres -

If two concentric conducting shells of radii r1 and r2(r2 > r1) carrying uniformly distributed charges Q1 and Q2 respectively

- wherein

Potential at the surface of inner shell is

V_{1}= \frac{1}{4\pi \varepsilon _{0}}\cdot \frac{Q_{1}}{r_{1}}+ \frac{1}{4\pi \varepsilon _{0}}\cdot \frac{Q_{2}}{r_{2}}

and potential at the surface of outer shell

V_{1}= \frac{1}{4\pi \varepsilon _{0}}\cdot \frac{Q_{1}}{r_{1}}+ \frac{1}{4\pi \varepsilon _{0}}\cdot \frac{Q_{2}}{r_{2}}

 

 

Potential difference due to inner 10C charge

=K\; 10\left [ \frac{1}{.1} -\frac{1}{.2}\right ]=9\times 10^{10}\left ( 5 \right )

=45\times 10^{10}=4.5\times 10^{11}V

    Potential difference due to outer charge

=\left [ \frac{K\times 20}{0.2}-\frac{K\times 20}{0.2} \right ]=0\; V

 P.d =. 4.5\times 10^{11}V

Posted by

Pankaj

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