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  4. Charges Q, 2 Q and 4 Q are uniformly distributed in three dielectric solid spheres 1,2 and 3 of radii R / 2, R and 2 R respectively, as shown in figure. If magnitudes of the electric fields at point P at a distance R from the centre of spheres 1,2 and 3 are E1, E2 and E3 respectively, then

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Q. Charges $Q, 2 Q$ and $4 Q$ are uniformly distributed in three dielectric solid spheres 1,2 and 3 of radii $R / 2, R$ and $2 R$ respectively, as shown in figure. If magnitudes of the electric fields at point $P$ at a distance $R$ from the centre of spheres 1,2 and 3 are $E_{1}, E_{2}$ and $E_{3}$ respectively, thenPhysics Question Image

JEE AdvancedJEE Advanced 2014Electric Charges and Fields

Solution:

For point outside dielectric sphere $E=\frac{Q}{4 \pi \varepsilon_{0} r^{2}}$
For point inside dielectric sphere $E=E_{s} \frac{r}{R}$
Exact Ratio $E_{1}: E_{2}: E_{3}=2: 4: 1$