Please solve the question in the description :)

Question

Pontiac Silverdome Stadium, in Detroit, Michigan, is the largest air supported building in the world. Suppose a charge of 18.0 μC is placed at one end of the stadium and a charge of –12.0 μC is placed at the other end of the stadium. If the electric field halfway between the charges is 22.3 N/C, directed toward the –12.0 μC charge, what is the length of the stadium

Answer 1

The magnitude of the electric field for a point charge is given by E = kq/r² where k = 9.0 x 10⁹ N·m²/C².  The direction of the field is radially away from positive charges and radially toward negative charges.

 

 

The electric fields due to 18.0 x 10^-6 C and -12.0 x 10^-6 C add.

 

 

E_total = E₊ + E_- = k(18.0 x 10^-6)/r² + k(12.0 x 10^-6)/r²

 

 

22.3 N/C = 9.0 x 10⁹ Ν·m²/C²(30.0 x 10^-6 C)/r²

 

 

r = 110 m