How Do You Calculate the Change in Magnetic Field in a Coil?

[tj03]

I have no idea where to stat on this question.

A magnetic field is perpendicular to a 0.040 m 0.080 m rectangular coil of wire that has 110 turns. In a time of 0.040 s, an average emf of magnitude 2.0 V is induced in the coil. What is the magnitude of the change in the magnetic field?

Can anyone help me out?

 

[berkeman]

What equation relates the change in magnetic flux to the voltage induced in a single turn of wire? The answer is just 110 times that, since the closed loop integral can follow the path of the 110 spiralling turns, and then return back down to connect to the start of the coil.

Remember, a current in a wire causes a magnetic field (see Biot-Savart), and a changing magnetic field/flux through a loop causes an induced emf or voltage (who's law?).

 

[kyle8921]

I would suggest starting by reviewing the basic principles of electromagnetic induction. This includes understanding the relationship between magnetic fields, changing magnetic flux, and induced emf. Once you have a clear understanding of these concepts, you can apply them to this specific scenario.

First, you can use the equation for induced emf, E = -N(dΦ/dt), where N is the number of turns in the coil and dΦ/dt is the rate of change of magnetic flux. Rearranging this equation, you can solve for the magnitude of the change in magnetic field, ΔB = -(E/N)(dt/dΦ).

Next, you can plug in the given values for emf, number of turns, and time to solve for the magnitude of the change in magnetic field. Make sure to pay attention to units and convert as needed.

I would also recommend drawing a diagram of the setup to help visualize the situation and better understand the relationships between the different variables.

If you are still struggling, I suggest seeking assistance from a teacher or tutor who can provide additional guidance and clarification. Good luck with your homework!