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 :

Engineering

Physics

Electric Field and Charged Particle in Electric Field

Question

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

E₂ > E₁ > E₃

E₃ > E₂ > E₁

E₃ > E₁ > E₂

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$\frac{kQ}{R^{2}} = E_{1}$

$E_{2} = \frac{k \times 2 Q}{R^{2}} = \frac{2 kQ}{R^{2}}$

$E_{3} = \frac{k 4 Q \times R}{{(2 R)}^{3}} = \frac{kQ}{2 R^{2}}$