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Question -

A conducting sphere ofradius 10 cm has an unknown charge. If the electric field 20 cm from the centreof the sphere is 1.5 × 10N/Cand points radially inward, what is the net charge on the sphere?



Answer -

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

Where,

q = Net charge = 1.5 × 103 N/C

= Distance from the centre = 20 cm = 0.2 m

0 = Permittivity offree space

And, = 9 × 109 N m2 C−2

= 6.67 × 109 C

= 6.67 nC

Therefore, the net chargeon the sphere is 6.67 nC.

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