A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm from the centre of the sphere is 1.5 × 10³N/C and points radially inward, what is the net charge on the sphere?

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Solution

Electric field intensity (E) at a distance (d) from the centre of a sphere containing net charge q is given by the relation,

Where,

q = Net charge = 1.5 × 10³ N/C

d = Distance from the centre = 20 cm = 0.2 m

∈₀ = Permittivity of free space

And, = 9 × 10⁹ N m² C⁻²

∴

= 6.67 × 10⁹ C

= 6.67 nC

Therefore, the net charge on the sphere is 6.67 nC.

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