Athin metallic spherical shell of radius 50 cm has a total charge of 4.0 µc placed on it. at the center of the shell is placed a point charge of 2.00 µc. what is the electric field at a distance of 30.0 cm from the center of the spherical shell?

The electric field is

Solution:

As per the question:

Radius of the spherical shell, R = 50 cm = 0.5 m

Charge on the spherical shell, Q =

Charge placed at the center, Q' =

Now, the electric field at a distance, r = 30.0 cm = 0.3 m is given by:

where

= electric field due to point charge

= electric field inside the hollow sphere

a charge 3q is at the origin, and a charge −2q is on the positive x axis at x=a. part a where on the x-axis would you place a third charge so it would experience no net electric force? enter an expression for the exact answer, which will involve a square-root sign. (do not enter an approximate decimal answer.)

the answer is b

explanation: