Question

The magnetic field in a certain region is given by B = (4.0veci -1.8 veck) xx 10^-3 T. How much flu passes through a 5.0 cm^2 area loop in this region if the loop lies flat on the xy-plane?

Answer 1

Given:

Magnetic field in a certain region is given by B = (4.0veci -1.8 veck) xx 10^-3 T.

Loop lies in XY plane. Therefore area vector is in -z axis, - k direction, as magnetic field component is also in -k direction.

Area = -5k cm² .

To Find:

Flux passes through a 5.0 cm^2 area loop.

Solution:

• Flux = magnetic field . Area

• Flux = 4i - 1.8k x $10^{-3}$ . -5k $10^{-4}$
• Flux = 9 x $10^{-7}$ Wb