Induced EMF OF Closed Loop and Examples

Induced E.M.F

Assertion : An emf vec(E) is induced in a closed loop where magnetic flux is varied. The induced vec(E) is not a conservative field. Reason : The line intergral vec(E).vec(dl) around the closed loop is non-zero.

Induced EMF with Resistor and Capacitor

Induced EMF with Resistor and Capacitor

A bar magnet is passing through a conducting loop of radius R with velocity v. The radius of the bar magnet is such that it just passes through the loop. The induced e.m.f. in the loop can be represented by the approximate curve :

Rotating Bar : Induced EMF|| Torque on a Rotating bar || Examples on rotating bar in magnetic field

Examples on direction OF induced current || Motional EMF||Examples on motional EMF

In Fig. there is a conducting loop ABCDEF of resistance lambda per unit length placed near a long straight current-carrying wire. The dimension are shows in the figure. The long wire lies in the plane of the loop. The current in the long wire varies as I = I_(0)(t) . The emf induced in the closed loop is

As a result of change in the magnetic flux linked to the closed loop shown in the fig, an e.m.f. V volt is induced in the loop. The work done (joule) in taking a charge Q coulomb once along the loop is

A square loop ABCD of edge a moves to the right with a velocity v parallel to AB . There is a uniform magnetic field of magnitude B , direction into the paper, in the region between PQ and RS only. I, II and III are three ppositions of the loop. (i) The emf induced in the loop has magnitude B a v in all three position (iii) Induced emf is anticlockwise in position II (iv) The induced emf is clockwise in position III