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Electric field due to continuous body

Two non-conducting solid spheres of radii R and 2 R, having un

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Solving time: 3 mins

Two non-conducting solid spheres of radii $R$ and $2 R$ , having uniform volume charge densities $ρ_{1}$ and $ρ_{2}$ respectively, touch each other. The net electric field at a distance $2 R$ from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio $\frac{ρ _{1}}{ρ _{2}}$ can be

- 4

- \frac{32}{25}

\frac{32}{25}

4

Views: 5,960 students

Updated on: Jun 25, 2023

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Scarlett Discussed

Two non-conducting solid spheres of radii

R

and

2 R

, having uniform volume charge densities

ρ_{1}

and

ρ_{2}

respectively, touch each other. The net electric field at a distance

2 R

from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio

\frac{ρ _{1}}{ρ _{2}}

can be

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

At point

P_{1}, \frac{1}{4 π ε _{0}} \frac{ρ _{1} ( 4/3 ) π R ^{3}}{4 R ^{2}} = \frac{ρ _{2} R}{3 ε _{0}}

\frac{ρ _{1} R}{12} = \frac{ρ _{2} R}{3}

\frac{ρ _{1}}{ρ _{2}} = 4

At point

P_{2}

\frac{ρ _{1} ( 4/3 ) π R ^{3}}{( 2 R ) ^{2}} + \frac{ρ _{2} ( 4/3 ) π 8 R ^{3}}{( 5 R ) ^{2}} = 0

∴ \frac{ρ _{1}}{ρ _{2}} = - \frac{32}{25}

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Question Text	Two non-conducting solid spheres of radii $R$ and $2 R$ , having uniform volume charge densities $ρ_{1}$ and $ρ_{2}$ respectively, touch each other. The net electric field at a distance $2 R$ from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio $\frac{ρ _{1}}{ρ _{2}}$ can be
Updated On	Jun 25, 2023
Topic	Electric Charges and Fields
Subject	Physics
Class	Class 12
Answer Type	Text solution:1 Video solution: 5
Upvotes	481
Avg. Video Duration	4 min

Text solutionVerified

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