A conducting sphere of radius R = 20 cm is given a charge Q = 16 C. What is electric
field E at its centre?
(a) 3.6 × 106 N/C (b) 1.8 × 106 N/C (c) zero (d) 0.9 × 106 N/C
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Answer: zero.
Explanation: If we imagine a Gaussian surface at the centre of the sphere, the surface does not enclose any charge because charge resides on the outer surface of a charged sphere.
Therefore,
E • 4πr² = 0/α (where α is the permittivity of the medium)
E = 0
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The correct answer will be option c.
- In a conducting sphere all the charge is concentrated at the surface of the sphere.
- There is no charge inside the sphere hence no field lines inside the sphere.
- Therefore,electric field inside the sphere is 0.
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