Question

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, then

• A. $E_1 >E_2>E_3$
• B. $E_3 >E_1>E_2$
• C. $E_2 >E_1>E_3$
• D. $E_3 >E_2>E_1$

Answer 1

Answer: (C)

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 $E_{1}: E_{2}: E_{3}=2: 4: 1$