Charges , and are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii , and respectively, as shown in the figure. If the magnitudes of the electric fields at a point , located at a distance from the centre of spheres 1, 2 and

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 the figure. If the magnitudes of the electric fields at a point $P$ , located at a distance $R$ from the centre of spheres 1, 2 and 3, are $E_{1}$ , $E_{2}$ and $E_{3}$ respectively, then [2014]

Smart Achievers · Accepted Answer

(3)

$E_{1} = \frac{1}{4 π ε_{0}} \cdot \frac{Q}{R^{2}};$

$R$

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

Solution

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

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

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

4 $E_{3} > E_{2} > E_{1}$

Ans.
(3)

$E_{1} = \frac{1}{4 π ε_{0}} \cdot \frac{Q}{R^{2}};$

$E_{2} = \frac{1}{4 π ε_{0}} \cdot \frac{2 Q}{R^{2}}, E_{3} = \frac{1}{4 π ε_{0}} \cdot \frac{Q / 2}{R^{2}}$

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

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Solution

1 E1>E2>E3

2 E3>E1>E2

3 E2>E1>E3

4 E3>E2>E1