Electrostatics 1 Question 16

17. A non-conducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its centre

(1998, 2M)

(a) increases as r increases for r<R

(b) decreases as r increases for 0<r<

(c) decreases as r increases for R<r<

(d) is discontinuous at r=R

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Answer:

Correct Answer: 17. (c)

Solution:

  1. Inside the sphere E=14πε0QR3r

Er for rR

i.e. E at centre =0 as r=0 and E at surface =14πε0QR2

 as r=R

Outside the sphere

or

E=14πε0Qr2 for rRE1r2

Thus, variation of electric field (E) with distance (r) from the centre will be as shown



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