A wire that is 0.86 meters long is moved perpendicularly through a constant magnetic field of strength 0.035 newtons/amp·meter at a speed of 6.0 meters/second. What is the emf produced?
0.035 * 0.86 = 0.0301
0.0301 * 6 = 0.1806 V
Psyc or Psy is an abbreviation for Psychology, not Physics.
To find the emf (electromotive force) produced, you can use the formula:
emf = B * L * v
where B is the magnetic field strength, L is the length of the wire, and v is the speed of the wire perpendicular to the magnetic field.
Given:
B = 0.035 newtons/amp·meter
L = 0.86 meters
v = 6.0 meters/second
Substituting the values into the formula:
emf = 0.035 * 0.86 * 6.0
Calculating:
emf = 0.1782 newtons/amp
Therefore, the emf produced is approximately 0.1782 newtons/amp.
To find the electromagnetic force (emf) produced, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the emf produced is equal to the rate of change of magnetic flux through the wire.
The magnetic flux through a loop of wire is given by the formula:
Φ = B * A * cos(θ)
Where:
Φ is the magnetic flux,
B is the magnetic field strength,
A is the area of the loop, and
θ is the angle between the magnetic field and the normal to the loop.
In this case, the wire is moving perpendicularly through the magnetic field. So the angle between the magnetic field and the normal to the wire is 90 degrees, making cos(θ) = 1.
Since the wire is moving at a constant speed, the rate of change of magnetic flux is given by:
dΦ/dt = B * A * v
Where:
dΦ/dt is the rate of change of magnetic flux,
B is the magnetic field strength,
A is the area of the loop, and
v is the speed of the wire.
In this case, we are given:
B = 0.035 newtons/amp·meter
A = the length of the wire, which is 0.86 meters
v = 6.0 meters/second
Substituting the given values into the formula, we have:
dΦ/dt = (0.035 N/A·m) * (0.86 m) * (6.0 m/s)
Calculating this, we get:
dΦ/dt = 0.1794 N·m²/s
Therefore, the emf produced is equal to the rate of change of magnetic flux, so the emf is:
emf = dΦ/dt = 0.1794 N·m²/s
So, the emf produced is 0.1794 N·m²/s.