Electromagnetic Induction and Induced Voltage

[Aphrael]

The problem states:

A loop of area 4cm^2 has its plane parallel to the field lines of the magnetic field, B = 0.6t, as shown in the figure. The loop is pulled in the opposite direction of the field with a constant velocity of v = 6m/s.

I am confused as to solve this because I can't figure out an equation to use. It gives me area, magnetic filed, and velocity for a loop in plane. I can't use V=NB dA/dt sin q because I don't know t and I can't use V=NBLv because I don't know L. No matter how I try to solve for either of those values I get no where. I'm stuck and don't know how to start.

 

[SWFanatic]

What is the question?

 

[Moetasim]

The equation V = NBLv is the correct equation to use in this situation. In order to use it, you will need to find the value of L, which represents the length of the loop in the direction of motion. This can be calculated by dividing the area of the loop (4cm^2) by its width (which is not given in the problem). Once you have the value of L, you can substitute it into the equation along with the given values for N (number of turns), B (magnetic field), and v (velocity). This will give you the induced voltage in the loop, which is equal to the rate of change of magnetic flux through the loop. I would also recommend reviewing the concept of electromagnetic induction and Faraday's law to better understand the relationship between magnetic field, velocity, and induced voltage.