How to calculate average induced current?

Calculating Average Induced Current

Induced current is the flow of electric current in a conductor when a magnetic field changes through the conductor. The average induced current can be calculated using Faraday’s law of electromagnetic induction.

Faraday’s law states that the average electromotive force (EMF) induced in a conductor is equal to the negative of the rate of change of magnetic flux through the conductor. Mathematically, this can be expressed as:

emf = -dΦ/dt

where:

• emf is the average electromotive force induced in the conductor (in volts)
• Φ is the magnetic flux through the conductor (in webers)
• t is the time interval over which the flux change occurs (in seconds)

To calculate the average induced current, we need to know the average EMF and the resistance of the conductor. The average induced current is given by:

i = emf / R

where:

• i is the average induced current (in amperes)
• emf is the average electromotive force induced in the conductor (in volts)
• R is the resistance of the conductor (in ohms)

Example

Let’s consider a coil with 1000 turns experiencing a 900µWb flux reversal in 0.2 seconds. The resistance of the coil is 10 ohms.

To calculate the average induced EMF, we use the formula:

emf = (NΦPZ)/(60A)

where:

• N is the number of turns in the coil (1000)
• Φ is the flux change (900µWb = 9 x 10^-6 Wb)
• P is the number of poles in the generator (let’s assume 2 for this example)
• Z is the speed of rotation (in revolutions per minute; let’s assume 600 rpm)
• A is the number of parallel paths in the armature (let’s assume 1)

Plugging in the values, we get:

emf = (1000 x 9 x 10^-6 x 2 x 600)/(60 x 1) = 1.8 volts

To calculate the average induced current, we use the formula:

i = emf / R

Plugging in the values, we get:

i = 1.8 volts / 10 ohms = 0.18 amperes

Therefore, the average induced current in the coil is 0.18 amperes.