In: Physics
A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 15.0 cm and a length of 89.7 cm. Through one end there is an inward magnetic flux of 20.2 ?Wb. At the other end there is a uniform magnetic field of 2.00 mT, normal to the surface and directed outward. What is the magnitude of the net magnetic flux through the curved surface?
Given :
Length ( L ) = 89..7 cm
Radius (r ) = 15 cm
?1 = 20.2 ?Wb
B = 2.00 mT
Magnetic flux ?2 = ? r2B = ? ( 15)2 * 2.00 = 1413.72
Net flux is :
? = - ?1 - ?2 = -20.2 - [ 1413.72 ]
= -25.2 - [ 1868.42 ]
= - 1433.92 ?Wb