State whether the following statement is true or false:

An expression of induced e.m.f. is derived from Faraday's law of electromagnetic induction.

Question

State whether the following statement is true or false:An expression of induced e.m.f. is derived from Faraday's law of electromagnetic induction.

Accepted Answer

The given statement is true.Concept: Here we have to derive the equation for induced e.m.f and definition of Faraday’s laws of electromagnetic induction.Faraday's laws of electromagnetism are utilised broadly as the working standards of transformers, inductors, and various sorts of electrical engines. The prompted electromotive power (emf) in any shut circuit will be equivalent to the pace of progress of the attractive transition through the circuit.Equation utilised: , where B is the attractive field, q is the charge and v is the speed., where V is the expected contrast and l is the length of the guide.Φ=BAWhere B is the attractive motion thickness and A is the region.That's what Faraday's most memorable regulation expresses, when a guide is put in an attractive field, the overall movement between the guide and attractive field creates a prompted emf. For the exploratory verification, we can move either the magnet or the guide. Faraday's subsequent regulation expresses that the greatness of the instigated emf is straightforwardly corresponding to the rate change of attractive transition.In the event that a guide of length l moves with a speed v through an attractive field. The electrons of the guide will encounter a power because of their movement in the attractive field. Recollect that electrons will stream the other way of the current.So the development of charges will have a likely effect between the two finishes of the guide. Regardless of whether the charges need to return to their underlying position, the attractive field and the movement of the guide won't permit this.In the event that an outside circuit is associated with this guide, the charges will move through the circuit to accomplish lower potential.     As per Flemming's left-hand rule, the heading of the power will be in the vertical course. For the protection of energy, the streaming current will make its power on the guide. The charge partition will make an electric field force (FE) toward the current. The adjusting power will be the attractive field force (FB).FB=FEHere the attractive power can be composed as,, where B is the attractive field, q is the charge and v is the speed., where V is the expected distinction and l is the length of the guide.These two powers can be compared. From this, we can figure out the likely distinction.This potential distinction is known as incited emf.The attractive transition thickness is the quantity of attractive field lines per unit region. So the absolute transition can be composed as,Φ=BAWhere B is the attractive transition thickness and An is the region.In the prompted emf condition you can see Here  likewise addresses the region through which the guide moves each second.Thus, we can substitute  as the area per unit time. As per Faraday's regulation, the adjustment of transition will prompt emf. In this way we can compose as,.So, an expression of induced e.m.f. is derived from Faraday's law of electromagnetic induction.Hence, the given statement is true.

State whether the following statement is true or false:

An expression of induced e.m.f. is derived from Faraday's law of electromagnetic induction.

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App