A uniformly charged conducting sphere of 1.7 m diameter has a surface charge den

Question

A uniformly charged conducting sphere of 1.7 m diameter has a surface charge density of 11 µC/m2. (a) Find the net charge in coulombs on the sphere. (b) What is the total electric flux leaving the surface of the sphere?

(a)

Number

Units

(b)

Number

Units

Chapter 23, Problem 17

A uniformly charged conducting sphere of 1.7 m diameter has a surface charge density of 11 µC/m2. (a) Find the net charge in coulombs on the sphere. (b) What is the total electric flux leaving the surface of the sphere?

(a)

Number

Units

(b)

Number

Units

Explanation / Answer

Diameter d = 1.7 m Radius r = d/ 2               = 0.85 m Surface area A = 4r 2                         = 9.079 m 2 Surface charge density = 11 µC/m2                                       = 11 x 10 -6 C / m 2 (a) The net charge in coulombs on the sphere Q = A                                                                           = 9.987 x 10 -5 C (b) The total electric flux leaving the surface of the sphere = Q /               Since from Gauss law Where = Permitivity of free space                = 8.85 x 10 -12 C 2 / Nm 2 Substitutute values we get = 11.284 x 10 6 Nm 2/ C Substitutute values we get = 11.284 x 10 6 Nm 2/ C

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