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Consider tow concentric conducting spher...

Consider tow concentric conducting spheres of radii a ` & b (b gt a)`. Inside sphere has a positive charge ` q_1`. What charge should be give to the ouer sphere so that potential of the inner sphere becomes zero ? How does the potentila varies between the two spheres `&` outside ?

Text Solution

Verified by Experts

The correct Answer is:
(i) ` q_2 =- b/ a q_1` ;
(i) `V_a = (Kq_1)/a +(Kq)/b`.
`0= (Kq_1)/a + (Kq)/b`
`q=- b/aq_1`
.
(ii) For potential
(i) for ` a ltrlt b, V = (Kq_1)/r +(K(-b/a)a_1)/b`
` V= Kq_1 [1/r - 1/a]`
(ii) for ` r-= b, V= Kq_1 [1/b -1/a]`
(iii) for ` r ge b`
` V = (Kq_1)/r + (k(- b/a)q_1)/b = (Kq_1)/r (1 - b/a)`.
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