A coil with 337 turns of wire, a total resistance
of 47 Ω, and a cross-sectional area of 0.35 m2
is positioned with its plane perpendicular to
the field of a powerful electromagnet.
What average current is induced in the coil
during the 0.30 s that the magnetic field drops
from 1.9 T to 0.0 T?
Answer in units of A.
E=N*Area*dB/dt=337*.35*1.9/.3 volts
Faraday's law.
Flux here is area*B
and d flux/dt= area*dB/dt
A coil with 337 turns of wire, a total resistance
of 47 Ω, and a cross-sectional area of 0.35 m2
is positioned with its plane perpendicular to
the field of a powerful electromagnet.
What average current is induced in the coil
during the 0.30 s that the magnetic field drops
from 1.9 T to 0.0 T?
Answer in units of A.
E=N*Area*dB/dt=337*.35*1.9/.3 volts
Faraday's law.
Flux here is area*B
and d flux/dt= area*dB/dt
I tried this and still got it wrong
sorry, I didn't read close enought. It asks for CURRENT
Current= EMF/resistance
Do we have to find EMF?
To find the average current induced in the coil, we can use Faraday's law of electromagnetic induction. This law states that the electromotive force (EMF) induced in a coil is equal to the rate of change of magnetic flux through the coil.
The formula for the induced EMF is given by:
EMF = -N * (ΔΦ/Δt)
Where:
- N is the number of turns of the coil
- ΔΦ is the change in magnetic flux
- Δt is the change in time
In this case, the coil has 337 turns of wire. The change in magnetic flux is given by:
ΔΦ = B * A
Where:
- B is the magnetic field strength
- A is the cross-sectional area of the coil
Given:
- B_initial = 1.9 T (initial magnetic field strength)
- B_final = 0.0 T (final magnetic field strength)
- A = 0.35 m²
The change in magnetic flux is:
ΔΦ = (B_final - B_initial) * A
= (0.0 - 1.9) T * 0.35 m²
Next, we need to determine the change in time, which is given as Δt = 0.30 s.
Now, we can substitute the values into the formula for the induced EMF to find the average current:
EMF = -N * (ΔΦ/Δt)
= -337 * [(0.0 - 1.9) T * 0.35 m²] / 0.30 s
Finally, to find the average current, we need to know the resistance of the coil. Given that the total resistance of the coil is 47 Ω, we can use Ohm's law, V = I * R, where V is the induced EMF and R is the resistance of the coil.
Since we are solving for I (current), we can rearrange the formula:
I = V / R
Now, we can find the average current by substituting the values:
I = [(-337 * (0.0 - 1.9) T * 0.35 m²) / 0.30 s] / 47 Ω
After evaluating this expression, we will get the answer in units of Amperes (A).