Electrostatics Question 510

Question: At a point 20 cm from the centre of a uniformly charged dielectric sphere of radius 10 cm, the electric field is 100 V/m. The electric field at 3 cm from the centre of the sphere will be [BCECE 2005]

Options:

A) 150 V/m

B) 125 V/m

C) 120 V/m

D) Zero

Show Answer

Answer:

Correct Answer: C

Solution:

Electric field outside of the sphere $ E _{out}=\frac{kQ}{r^{2}} $ …(i)

Electric field inside the dielectric sphere $ E _{in}=\frac{kQx}{R^{3}} $ …(ii)

From (i) and (ii), $ E _{in}=E _{out}\times \frac{r^{2}x}{R} $

therefore At 3 cm, $ E=100\times \frac{3{{(20)}^{2}}}{10^{3}}=120V/m $



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