What will be the induced magnetic field strength 7.5 cm radially outward from the center of the plates?

B = 9.867 * 10^-8 T

Explanation:

Given:

- Rate of accumulating charge I = 37.0 mC/s

- radial distance from center of the plate r = 7.5 cm

- magnetic constant u_o = 4*pi * 10^-7 H/m

Find:

The induced magnetic field strength 7.5 cm radially outward from the center of the plates?

Solution:

- Apply Gaussian Law on the surface:

B. (dA) = u_o*I

- The surface integral is dA = (2*pi*r):

B. (2*pi*r) = u_o*I

B = u_o*I / (2*pi*r)

- Plug values in:

B = (4*pi * 10^-7) * (37*10^-3) / (2*pi*0.075)

B = 9.867 * 10^-8 T