# Equation For Electrical Production

## Main Question or Discussion Point

SO i am trying to figure out how much electricity can be produced through elector magnetism.

I figure the information needed would be

1.Density of the magnetic field.
2. The # of coils in the solenoid
3. The rate at which the solenoid passes over the magnetic field.
4. The distance the solenoid is from the magnetic field
5. The angle at which the solenoid comes in contact with the magnetic field

Am i missing any? and is there an equation that knowing these values i could calculate the amount of electricity produced. Or visa versa Knowing how much electricity i need to produce but be able to figure out the density of the magnetic field i would need to produce that amount of electricity. all the help i could get would be super duper,

Thanks, AnAverageJoey

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dlgoff
Gold Member
Welcome to Physics Forums. What you need is to understand Faraday's Law. So to generate 240 volts from a solenoid with 4 coils that passes over an unknown magnetic field at 29m/s it would take a magnetic field with a density of 2.0689 T?

Represented by 240v= (4)(x)(29) where x is the density of the magnetic field?

Ik it sounds like a homework question but its not just a personal project question lol

dlgoff
Gold Member
So to generate 240 volts from a solenoid with 4 coils that passes over an unknown magnetic field at 29m/s it would take a magnetic field with a density of 2.0689 T?

Represented by 240v= (4)(x)(29) where x is the density of the magnetic field?

Ik it sounds like a homework question but its not just a personal project question lol
Note that you are referring to the upper right example where ΔA/Δt is the rate of change of the area of the loops with respect to time.

...the second example shows the voltage generated when a coil is moved into a magnetic field. This is sometimes called "motional emf", and is proportional to the speed with which the coil is moved into the magnetic field. That speed can be expressed in terms of the rate of change of the area which is in the magnetic field.