AC generator -- Understanding coil voltages as function of position

[EF17xx]

Homework Statement

In an ac generator
Voltage is maximum when the coil is parallel to the direction of magnetic field (B)
Voltage is minimum (0) when the coil is perpendicular to the direction of magnetic field (B)

I'm trying to understand why.

Homework Equations

The Attempt at a Solution

A voltage is induced when there is a change in flux.
When the coil is parallel to the magnetic field the flux going through it is 0.
When the coil is perpendicular to the magnetic field the flux going through it is maximum.

I understand that it is the CHANGE in flux that causes a current to be induced. But I am still a bit confused about WHY the viltage is maximum when the coil is parallel to the field

 

[Dr Dr news]

When are the flux lines being cut with the greatest speed? When the loop is moving parallel or perpendicular to the flux lines?