0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80 μC/m2.
(a) Find the charge on the sphere.
(b) What is the total electric flux leaving the surface of the sphere?

Solution
Verified by Toppr

(a)

d=2.4m

r=1.2m

Surface charge density, σ=80.0μC/m2=80×106C/m2

Total charge on surface of sphere,

Q= Charge density × Surface area

=σ×4πr2

=80×106×4×3.14×(1.2)2

=1.447×103C

Therefore, the charge on the sphere is 1.447×103C.

(b)

ϕtotal=Q0

0=8.854×1012N1C2m2

Q=1.447×103C

ϕtotal=1.44×1038.854×10612

=1.63×108NC1m2

Therefore, the total electric flux leaving the surface of the sphere is 1.63×108NC1m2

Was this answer helpful?
56
Similar Questions
Q1
A uniformly charged conducting sphere of 2.4 m diameter has a surface charge density of 80 μC/m2.
(a) Find the charge on the sphere.
(b) What is the total electric flux leaving the surface of the sphere?
View Solution
Q2
A uniformly charged sphere of diameter 2.4m has surface charge density of 80pC/m2. Determine the total electric flux leaving out the spherical surface along with the spherical charge.
View Solution
Q3
A charged conducting sphere has diameter 2.4 m and surface charge density 10 μC/m2. Electric flux passing through its surface will be:-
View Solution
Q4
A uniformly charged conducting sphere of 4.4m diameter has a surface charge density of 60μC m2.
The charge on the sphere is then
View Solution
Q5

(a) Using Gauss law, drive an expression for the electric field intensity at any point outside a uniformly charged thin spherical shell of radius R and charge density σC/m2. Draw the field lines when the charge density of the sphere is (i) positive, (ii) negative


(b)A uniformly charged conducting sphere of 2×5m in diameter has a surfaces density of 100mC/m2 . Calculate the (i) charge on the sphere (ii) total electric flux passing through the sphere.

View Solution