A conducting sphere of radius 10 cm has an unknown charge. If the electric field 20 cm

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asked Jan 3, 2018 in Physics by sforrest072 (157,439 points) 61 410 937

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?

1 Answer

+1 vote
answered Jan 3, 2018 by mdsamim (213,225 points) 5 10 15
edited Mar 4, 2018 by Vikash Kumar
 
Best answer

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

εo = Permittivity of free space and 1/4πεo=9×109 Nm2C−2
Therefore,

q=E(4πεo)d2=1.5×103/9×109
= 6.67 × 109 C
= 6.67 nC

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

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