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Left Hand Rule for Generators

Note the coil loop is being shown in two colors. One half is shown in black color and the other half is shown in lighter color. Let’s consider the left hand side of the loop (shown in dark color). Now extend your left hand in the following manner:

Thumb: Point the thumb in the direction of movement. For the dark conductor, the movement is in upward direction (as it begins to rotate). Therefore you need to point your thumb upward, as indicated.

Forefinger: Point the forefinger in the direction of the magnetic field. Since our convention is that magnetic fields are oriented from north pole to the south pole, you simply need to point a finger from north pole to the south pole.

Middle Finger: Stick your middle finger perpendicular to the palm of your hand. The middle finger gives you the direction in which the current will flow.

When you apply this convention, you will see that it tells you that the current will flow out of the dark conductor (as is indicated in the figure provided here).

Sources:
1. Physics for Technicians - A Systems Approach. Pub: John Wiley & Sons
2. Naval Electrical Engineering Training Series