You hold a wire coil so that the plane of the coil is perpendicular to a magnetic field b⃗. part aif the magnitude of b⃗ increases while its direction remains unchanged, how will the magnetic flux through the coil change?

Magnetic flux Ф is given by

Ф = ∫В. dA

dA is an element of area of the surface, the integration is carried over the entire surface through which we wish to calculate the flux. B is magnetic field.

If direction of coil is remained the same, area of the coil remains the same. But as we increase the magnetic field, the number of field lines passing through the coil increases. Therefore the magnetic flux will increase.