**Calculations**

Equation (7-9) is a mathematical representation of the voltage associated with any particular orientation of a coil (inductor).

Example 1: What is the induced EMF in a coil producing a maximum EMF of 120 V when the angle from reference is 45°?

The maximum induced voltage can also be called peak voltage Ep. If (t) is the time in which the coil turns through the angle (0), then the angular velocity (co) of the coil is equal to 0/t and is expressed in units of radians/sec. Equation (7-10) is the mathematical representation of the angular velocity.

Using substitution laws, a relationship between the voltage induced, the maximum induced voltage, and the angular velocity can be expressed. Equation (7-11) is the mathematical representation of the relationship between the voltage induced, the maximum voltage, and the angular velocity, and is equal to the output of an AC Generator.

maximum induced EMF (volts) angular velocity (radians/sec) time to turn through the angle from reference (sec)

Current Calculations

Maximum induced current is calculated in a similar fashion. Equation (7-12) is a mathematical representation of the relationship between the maximum induced current and the angular velocity.