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A uniformly charged conducting sphere of 4.4m diameter has a surface charge density of 60 μC m-2. The charge on the sphere is
  • a)
    7.3 x 10-3C
  • b)
    3.7 x 10-6C
  • c)
    7.3 x 10-6 C
  • d)
    3.7 x 10-3 C
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A uniformly charged conducting sphere of 4.4m diameter has a surface c...
Here D = 2r = 4.4 m,
or r = 2.2 m, σ = 60 μC m-2
Charge on the sphere, q = σ x 4πr2
= 60 x 10-6 x 4 x (22/7) x (2.2)2 = 3.7 x 10-3 C.
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Most Upvoted Answer
A uniformly charged conducting sphere of 4.4m diameter has a surface c...
The surface charge density is given by:

σ = Q/A

where σ is the surface charge density, Q is the charge on the sphere, and A is the surface area of the sphere.

The surface area of a sphere is given by:

A = 4πr^2

where r is the radius of the sphere.

In this case, the diameter of the sphere is 4.4m, so the radius is:

r = 4.4m/2 = 2.2m

The surface area of the sphere is therefore:

A = 4π(2.2m)^2 = 60.8m^2

The surface charge density is given as 60, so we can rearrange the equation to solve for the charge:

Q = σA = 60 * 60.8 = 3648 C

Therefore, the charge on the conducting sphere is 3648 C.
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A uniformly charged conducting sphere of 4.4m diameter has a surface charge density of 60 μC m-2. The charge on the sphere isa)7.3 x 10-3Cb)3.7 x 10-6Cc)7.3 x 10-6Cd)3.7 x 10-3 CCorrect answer is option 'D'. Can you explain this answer?
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