In: Physics

# If the magnitude of $$\vec{B}$$ increases while its direction remains unchanged, how will the magnetic flux through the coil change?

If the magnitude of $$\vec{B}$$ increases while its direction remains unchanged, how will the magnetic flux through the coil change?

Check all that apply.

• The flux is unchanged because the position of the coil with respect to $$\vec{B}$$ unchanged.
• The flux increases because the magnitude of $$\vec{B}$$ increases.
• The flux decreases because the magnitude of $$\vec{B}$$ increases.
• The flux is unchanged because the surface area of the coil is unchanged.

## Solutions

##### Expert Solution

Magnetic flux is defined as the number of magnetic field lines passing through a crosssection.

If the magnitude of the magnetic field increasing without changing the direction, then the number of field lines passing through the coil increases in the direction of the magnetic field. Thus, the magnetic flux through the coil increases as the magnitude of the field vector increases. Thus, the second option is the correct answer. All other options are wrong.