A Gaussian surface in the shape of a right circular cylinder with end caps has a

Question

A Gaussian surface in the shape of a right circular cylinder with end caps has a radius of 17.6 cm and a length of 114 cm. Through one end there is an inward magnetic flux of 25.2 µWb. At the other end there is a uniform magnetic field of 1.92 mT, normal to the surface and directed outward. What is the magnitude of the net magnetic flux through the curved surface?

ANSWER SO FAR:

Given :
Length ( L ) = 114 cm
Radius (r ) = 17.6 cm
f1 = 25.2 µWb
B = 1.92 mT
Magnetic flux f2 = p r2B = p ( 17.6)2 * 1.92 = 1868.42
Net flux is :

f = - f1 - f2 = -25.2 - [ 1868.42 ]

= -25.2 - [ 1868.42 ]
= - 1893.62 µWb (THIS VALUE IS WRONG ALTHOUGH THE UNITS ARE CORRECT - I DONT KNOW WHERE I WENT WRONG)

Explanation / Answer

Length L = 114 cm = 1.14 m Radius R = 17.6 cm = 0.176 m f1 = 25.2 Wb B = 1.92 mT = 1.92*10^-3 T Magnetic flux f2 = R^2 B                            = (0.176 m)^2 (1.92*10^-3 T)                            = 186.84 Wb Net flux f = - f1 - f2                 = - 25.2 Wb - 186.84 Wb                 = - 212.04 Wb You forget to convert radius into SI units.       You forget to convert radius into SI units.

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