A spherical conductor of radius 10 cm has a charge of 3.2 × 10⁻⁷ C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere? [1/(4πε₀) = 9 × 10⁹ N m²/C²]
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Question

A spherical conductor of radius 10 cm has a charge of 3.2 × 10⁻⁷ C distributed uniformly. What is the magnitude of electric field at a point 15 cm from the centre of the sphere? [1/(4πε₀) = 9 × 10⁹ N m²/C²]

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G1 Physics · Accepted Answer

Step 1: Outside a charged spherical conductor, field equals that of a point charge at centre. Step 2: E = kQ/r² with r = 0.15 m. Step 3: E = (9 × 10⁹)(3.2 × 10⁻⁷)/(0.15)² = 2880/0.0225 = 1.28 × 10⁵ N/C.