Electromagnetic Induction: Induced EMF and current.
Two parallel loops of wire having the same common axis. The smaller loop of (raduis r ) and is above the larger loop (raduis R) by a distance X>>R. The magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at a constant rate dx/dt = v. (a) find the expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find the expression for the induced emf and the direction of the induced current.
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Two parallel loops of wire having the same common axis. the smaller loop of (raduis r ) and is above the larger loop (raduis R) by a distance X>>R. The magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at a constant rate dx/dt = v. (a) find the expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find the expression for the induced emf and the direction of the ...
Solution Summary
The coil on the axis of a circular current carrying loop is moving with constant velocity. The induced EMF and current in the coil is calculated.
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... The rate of change of current is. From Faraday's law (of electromagnetic induction). Induced emf The magnitude of the emf is then --- (5) [using = LI]. ...
... Two wires carry currents of 5.00 A in opposite ... having n turns, carrying a current I is ... 9. By Faraday's law of electromagnetic induction, induced emf = - dφ/dt. ...
... As per Faraday's law of electromagnetic induction, induced emf e = - dφdt = BlvN. Magnitude of the current induced in the coil = I = e/R = BlvN/R. ...
... per Faraday's law of electromagnetic induction, EMF induced in the ... is such that it induces magnetic field ... dt (direction of induced current is counterclockwise). ...
... In other words the polarity of induced emf is such ... R_2 I where I is the current flowing through ... L = LdI/dt (Faraday's law of electromagnetic induction) R_2 I ...
... By Faradays law of electro-magnetic induction, magnitude of emf induced per turn in the smaller coil due to variation in the current flowing through the bigger ...
