Question

Charge is placed on the surface of a 2.7-cm radius isolated conducting sphere. the surface charge density is uniform and has the value 6.9  10–6 c/m2. the total charge on the sphere is:

Answer 1

First, convert the radius of the sphere from centimeter to meter.
   r = (2.7 cm)(1 m/ 100 cm) 
   r = 0.027 m

Then, calculate for the surface area of the given by the equation,
   A = 4πr²

Substituting the known values,
   A = 4(π)(0.027 m)²
   A = 9.16 x 10⁻³ m²

Then, multiply the calculated area to the charge density given to determine the total charge.
      C = (6.9 x 10⁻⁶ C/m²)(9.16 x 10⁻³ m²)
      C = 6.32 x10⁻⁸ C

Answer: C = 6.32 x 10⁻⁸ C