A cube of edge length = 6.0 cm is positioned as shown in the figure below. There

Question

A cube of edge length = 6.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components Bx = +9.0 T, By = +6.0 T, and Bz = +9.0 T.

A cube of edge length t 6.0 cm is positioned as shown in the figure below. There is a uniform magnetic field throughout the region with components B +6.0 T, and B +9.0 T. (a) Calculate the flux through the shaded face of the cube. T. m2 (b) What is the net flux emerging from the volume enclosed by the cube (i.e., the net flux through all six faces)? T. m +9.0 T, B

Explanation / Answer

Length of the cube is L = 6 cm

magnetic field through the components is

B_x = + 9.0 T

B_y = + 6.0 T

B_z =+9.0 T

a ) Area of the shaded region is A = L^2

= 6*6

= 36*10^-4 m^2

magnetic flux through the shaded region is = B_x A

= + 9.0 T *36*10^-4 m^2  

= 32.4*10^-3 T m^2

b ) Total flux is = B A cos

= BA cos 90

=0

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