Question

Suppose, we split a spherical surface into two parts by a circular loop. Now, a bar magnet is placed near the spherical system as shown in the figure.
Through which of the two parts is the magnitude of the magnetic flux larger?

• A. Part I
• B. Part II
• C. The magnitude of the flux is same for both
• D. Cannot be predicted without more information about magnetic field

Answer 1

Answer: (C)

The magnitude of the flux is same for both

The magnitude flux associated with a closed loop is zero. Thus, magnetic flux through parts I and II is zero. i.e.,
${\varphi }_I+{\varphi }_{II}=0$
$\Rightarrow {\varphi }_I=-{\varphi }_{II}$
or $|{\varphi }_I|=|{\varphi }_{II}|$
So, the magnitude of flux through both parts I and II must be equal.