Question

The linear charge density on the inner conductor is and the linear charge density on the outer conductor is

Answer 1

Complete Question

The complete question is  shown on the first uploaded image (reference for Photobucket )

Answer:

The  electric field is  $E = -1.3 *10^{-4} \ N/C$

Explanation:

 From the question we are told that

    The linear charge density on the inner conductor is  $\lambda _i = -26.8 nC/m = -26.8 *10^{-9} C/m$

    The linear charge density on the outer conductor is

  $\lambda_o = -60.0 nC/m = -60.0 *10^{-9} \ C/m$

     The position of interest is r =  37.3 mm =0.0373 m

Now this position we are considering is within the outer conductor so the electric field  at this point is due to the inner conductor (This is because the charges on the conductor a taken to be on the surface of the conductor according to Gauss Law )

Generally according to Gauss Law

         $E (2 \pi r l) = \frac{ \lambda_i }{\epsilon_o}$

=>    $E = \frac{\lambda _i }{2 \pi * \epsilon_o * r}$

substituting values  

       $E = \frac{ -26 *10^{-9} }{2 * 3.142 * 8.85 *10^{-12} * 0.0373}$

       $E = -1.3 *10^{-4} \ N/C$

The  negative  sign tell us that the direction of the electric field is radially inwards

    =>   $|E| = 1.3 *10^{-4} \ N/C$