A spherical body of radius $20 cm$ contains a charge $4 \times 10^{- 8} C$ , distributed uniformly in its volume. The magnitude of electric field at a distance $10 cm$ from its centre will be closest to

4500 N/C

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3100 N/C

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6800 N/C

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1000 N/C

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Solution

The correct option is A $4500 N/C$
For uniformly charged spherical body, electric field inside it is given by

$E = \frac{ρ}{3 ϵ_{0}} x (x < R)$

$= \frac{4 \times 10^{- 8} \times 0.1}{\frac{4}{3} π (0.2)^{3} \times 3 \times 8.85 \times 10^{- 12}}$

$\approx 4496 N/C \approx 4500 N/C$

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A spherical body of radius 20 cm contains a charge 4×10−8 C, distributed uniformly in its volume. The magnitude of electric field at a distance 10 cm from its centre will be closest to

The correct option is A 4500 N/CFor uniformly charged spherical body, electric field inside it is given by E=ρ3ϵ0 x (x<R) =4×10−8×0.143 π(0.2)3×3×8.85×10−12 ≈4496 N/C≈4500 N/C

A spherical body of radius $20 cm$ contains a charge $4 \times 10^{- 8} C$ , distributed uniformly in its volume. The magnitude of electric field at a distance $10 cm$ from its centre will be closest to

The correct option is A $4500 N/C$
For uniformly charged spherical body, electric field inside it is given by

$E = \frac{ρ}{3 ϵ_{0}} x (x < R)$

$= \frac{4 \times 10^{- 8} \times 0.1}{\frac{4}{3} π (0.2)^{3} \times 3 \times 8.85 \times 10^{- 12}}$

$\approx 4496 N/C \approx 4500 N/C$