Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Gauss\'s law for magnetism Due in 4 hours, 18 minutes A Gaussian surface in the

ID: 2033541 • Letter: G

Question

Gauss's law for magnetism Due in 4 hours, 18 minutes A Gaussian surface in the shape of a right circular cylinder of length 57.4 cm. Each of the end caps has a radius of 26.7 cm. Through one end, there is an inward magnetic flux of 8.0 ?wb. At the other end, there is a uniform magnetic field of 5.4 mT, normal to the surface and directed outward. What is the magnitude of the net magnetic flux through the curved surface? Submit Answer Tries 0/10 What is the direction of the net magnetic flux through the curved surface? Inward Outward Submit Answer Tries 0/10

Explanation / Answer

As per Gauss law of magnetism , net flux=0

Flux through one plane surface = 8 muWb (Inward)

Flux through other plane surface = magnetic field x area= 5.4 x 10^-3 x 3.141 x (0.267)^2= 1209mu Wb

(outward)

so

flux through curved surface + Flux through one plane surface +Flux through other plane surface=0

so,

flux through curved surface= -(Flux through one plane surface +Flux through other plane surface)= -8 (I) +

1209(O)) = 1201 mu Wb (inward)