how much output I can get if a coil having 100000 turns moves pass a strong 3000 gauss neodymium magnet with 10 m/s velocity only once a time?
To calculate the output generated by a coil moving past a magnet, we need to consider several factors, such as the number of turns in the coil, the strength of the magnetic field, and the velocity of the coil. Here's how you can calculate the output:
1. Determine the magnetic flux: The magnetic flux (Φ) is the product of the magnetic field strength (B) and the area (A) of the coil perpendicular to the field. Since the coil is moving past the magnet, the area changes with time. Assuming a uniform magnetic field, the flux can be calculated as Φ = B * A. In this case, let's assume the coil is perpendicular to the magnetic field lines.
2. Calculate the rate of change of flux: As the coil moves past the magnet, the magnetic flux passing through the coil changes. The rate of change of flux (dΦ/dt) is given by the product of the magnetic field strength (B), the area (A) of the coil, and the velocity (v) of the coil. Therefore, dΦ/dt = B * A * v.
3. Determine the induced electromotive force (EMF): According to Faraday's law of electromagnetic induction, the induced EMF (V) in the coil is equal to the rate of change of flux. So, V = dΦ/dt = B * A * v.
4. Calculate the output current: The output current (I) that can be generated in the coil depends on the resistance (R) of the coil. According to Ohm's law, I = V/R.
Let's assume the resistance of the coil is known.
Now, let's plug in the values you've provided into the formula:
Number of turns (N) = 100,000
Magnetic field strength (B) = 3,000 Gauss = 0.3 Tesla (1 Tesla = 10,000 Gauss)
Velocity of the coil (v) = 10 m/s
First, we need to convert the magnetic field strength to Tesla:
B = 0.3 Tesla
Next, calculate the magnetic flux:
Φ = B * A
Since the coil is perpendicular to the magnetic field, the area (A) will depend on the specific geometry of the coil.
Finally, with the induced EMF (V) calculated, you can determine the output current (I) using the known resistance (R) of the coil.
It's important to note that this calculation assumes ideal conditions and does not account for factors such as coil losses, non-uniform magnetic fields, or other sources of inefficiency.