g What are the magnitude and direction of the electric field at a distance 43.5 from the center of the shells

Complete Question

Two spherical shells have a common center. A -1.6 x 10-6 C charge is spread uniformly over the inner shell, which has a radius of 0.030 m. A +5.1 x 10-6 C charge is spread uniformly over the outer shell, which has a radius of 0.15 m.What are the magnitude and direction of the electric field at a distance 43.5 mm from the center of the shells.

The magnitude is  

The direction is radially inward toward the center

Explanation:

From the question we are told that

   The charge on the inner shell is  

    The  radius of the inner shell is  

   The  charge on the outer shell is  

     The  radius of the outer shell is  

   The distance considered is  

Generally the electric field at the position considered is mathematically represented as

Here   is the charge  which is enclosed by the distance considered which in this case is the charge on the inner shell

  So  

Hence

 =>      

The negative sign is show that the direction of the field is radially inward toward the center

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