The Total solution for NCERT class 6-12
A uniformly chargedconducting sphere of 2.4 m diameter has a surface charge density of 80.0 μC/m2. (a) Find the charge on the sphere. (b)What is the total electric flux leaving the surface of the sphere?
(a) Diameter of the sphere, d = 2.4 m
Radius of the sphere, r = 1.2 m
Total charge on thesurface of the sphere,
Q = Charge density × Surface area
= 80 × 10−6 × 4 × 3.14 × (1.2)2
= 1.447 × 10−3 C
Therefore, the charge onthe sphere is 1.447 × 10−3 C.
(b) Total electric flux () leaving out the surface of asphere containing net charge Q isgiven by the relation,
Where,
∈0 = Permittivity offree space
= 8.854 × 10−12 N−1C2 m−2
Q = 1.447 × 10−3 C
= 1.63 × 108 N C−1 m2
Therefore,the total electric flux leaving the surface of the sphere is 1.63 × 108 N C−1 m2.