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 × 103 N/C and points radially inward, what is the net charge on the sphere?
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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Please excuse me, I have recently found a mistake in the answer. It is written... Where,q=net charge=1.5*10³N/C. Here, 1.5*10³ is the value of E(electric field intensity.
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