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

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 E1, E2 and E3 respectively, then (A) E1 >E2>E3 (B) E3 >E1>E2 (C) E2 >E1>E3 (D) E3 >E2>E1

Tardigrade Admin · Accepted Answer

For point outside dielectric sphere E=(Q/4 π ε0 r2) For point inside dielectric sphere E=Es (r/R) Exact Ratio E1: E2: E3=2: 4: 1

$E_{1} > E_{2} > E_{3}$

$E_{3} > E_{1} > E_{2}$

$E_{2} > E_{1} > E_{3}$

$E_{3} > E_{2} > E_{1}$

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

Q. Charges Q,2Q and 4Q are uniformly distributed in three dielectric solid spheres 1,2 and 3 of radii R/2,R and 2R 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

E1​>E2​>E3​

E3​>E1​>E2​

E2​>E1​>E3​

E3​>E2​>E1​

For point outside dielectric sphere E=4πε0​r2Q​ For point inside dielectric sphere E=Es​Rr​ Exact Ratio E1​:E2​:E3​=2:4:1

$E_{1} > E_{2} > E_{3}$

$E_{3} > E_{1} > E_{2}$

$E_{2} > E_{1} > E_{3}$

$E_{3} > E_{2} > E_{1}$

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