A conducting sphere of radius 10 cm has an unknown charge. Ifthe electric field 20 cm from the centre of the sphere is 1.5 × 103 N/Cand points radially inward, what is the net charge on the sphere?
Given: The radius of the conducting sphere is 10 cm , the magnitude of an inward electric field is 1.5 × 10 3 N / C and the distance from the center of sphere is 20 cm .
The electric field intensity due to a point charge at distance d is given by,
E = 1 4 π ε 0 ⋅ q d 2
Where, the electric field intensity is E and the net charge on the sphere is q .
By substituting the given values in above equation, we get
1.5 × 10 3 = 9 × 10 9 × q 0.2 2 q = 1.5 × 10 3 × 0.2 2 9 × 10 9 = 6.6710 − 9 C = 6 .67 nC
Thus, the net charge on the sphere is 6 .67 nC .
Given: The radius of the conducting sphere is
The electric field intensity due to a point charge at distance
Where, the electric field intensity is
By substituting the given values in above equation, we get
Thus, the net charge on the sphere is
