Q 1.22)
A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80.0 μC /m 2
(a) Find the charge on the sphere.
(b) What is the total electric flux leaving the surface of the sphere?
At a distance ( d ) from the center of a sphere, the electric field intensity:
So the net charge on the sphere:
The net charge on the sphere is 6.67 nC.
(a)
The radius of the sphere, r = 1.2 m
Surface charge density, σ = 80.0 μC /m 2 = 80 × 10 – 6 C/m 2
The total charge on the surface of the sphere:
Q = Charge density × Surface area
= σ × 4πr 2
= 80 × 10– 6 × 4 × 3.14 × ( 1.2 )2
= 1.447 × 10– 3 C
The charge on the sphere is 1.447 × 10– 3 C.
(b) Total electric flux ( Total ) leaving out the surface:
The total electric flux leaving the surface of the sphere is 1.63 × 10 8 N C – 1 m 2
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