A flat, rectangular coil of dimensions l and w is pulled with uni-form speed v through a uniform magnetic field B with the plane of its area perpen-dicular to the field (Fig. E29.14). (a) Find the emf induced in this coil. (b) If the speed and magnetic field are both tripled, what is the induced emf?

Video transcript

Everyone today, we are going to determine the induced E M F in the coil. If the speed and the magnetic field are both doubled in a uniform magnetic field perpendicular to the plane of the area of a circular coil with a radius of five centimeters moving at a speed of five m per second. Okay, so first, what we want to do is to recall the definition of magnetic floods and what the definition of induced E M F. Is. So change in magnetic flux through a coil is actually what's causing the induced E. M. F to happen. And the magnetic flux through a coil itself can actually be calculated using this formula. So the magnetic flux is going to be represented by five B. Which is going to equals to n. Multiplied by B. Multiplied by a multiplied by cosine of phi just like so, okay, and the induced E M F. Which is represented by E as I said, is going to actually only happen or showed when there's a change in magnetic flux through a coil. So, induced E M F is going to equals two minus a change of the magnetic flux five B over time over a certain period of time. So, in this particular example, even though the coil is moving within the magnetic field and has flux to it. However, the magnetic flux of I B itself is not gonna change or is not changing because there is no change in five B over delta T or over time, then we can conclude that this part will equals to zero. So therefore the E M. F. To induce CMF itself will actually equals to zero. So essentially there will be no induced E M F in the coil. So the answer is going to actually be option a where the AMF is actually going to be zero just because there is no E m F induced and there's no change in magnetic field. Okay, that will be all for this particular problem. If you guys still have any sort of confusion, please check out our other lesson videos regarding this particular topic and that will be all for this particular example. Thank you.