Q.

Two concentric spheres of radii R and r have similar charges with equal surface densities (σ). What is the electric potential at their common centre

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

σε0

b

σε0(Rr)

c

σε0(R+r)

d

none of the above

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Let Q and q be the charges on the spheres. The potential at the common centre will be
V=14πε0×QR+14πε0×qr=1ε0Q4πR2×R+q4πr2×r
But   Q4πR2=q4πr2=σ
 V=1ε0[σR+σr]=σε0(R+r)

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon