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**1. Homework Statement**

You hold a wire coil perpendicular to a magnetic field B. If the magnitude of 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 B is unchanged.

The flux increases because the magnitude of B increases.

The flux decreases because the magnitude of B increases.

The flux is unchanged because the surface area of the coil is unchanged.

**2. Homework Equations**

[tex]A_{eff} = Acos\vartheta[/tex]

**3. The Attempt at a Solution**

According to the formula - [tex]A_{eff} = Acos\vartheta[/tex], the magnetic flux is determined by the area. I believe the answer is "flux is unchanged because the surface area of the coil is unchanged" since in the problem, only B is changing.

Am I right?