Answer
a) $\phi=2.2mWb $
b) same
c) increases
Work Step by Step
(a) We know that
$\phi=B_z(\pi r^2)$
We plug in the known values to obtain:
$\phi=(0.52T)\pi(0.037m)^2$
$\phi=2.2364\times 10^{-3}Wb $
$\implies \phi=2.2mWb $
(b) We know that the x-component of the magnetic field doesn't contribute to the magnetic flux; hence the flux stays the same.
(c) We know that when the z-component of the magnetic field is increased, then the magnitude of the flux also increases as both are directly proportional to each other.
