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A nonconducting solid sphere of radius R...

A nonconducting solid sphere of radius R is uniformly charged. The magnitude of the electric field due to the sphere at a distance r from its center

A

increases as r increases for `r lt R`

B

decreases as r increases for `0 lt r lt oo`

C

decreases as r increases for `R lt r lt oo`

D

is discontinuous at `r=R`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Inside the sphere `E=1/(4pi epsilon_(0)).Q/R^(3)r rArr E prop r` for `r le R`
i.e., E at centre `=0 (r=0)`
and E at surface `=1/(4pi epsilon_(0)).Q/r^(2)(r=R)`
Outside the sphere `E=1/(4piepsilon_(0))Q/r^(2)(r ge R)` or `E prop 1/r^(2)`
Thus, variation of electric field (E) with distance (r) from the centre will be as follows:
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