A rectangular loop is located in a uniform magnetic field of magnitude 0.31T dir

Question

A rectangular loop is located in a uniform magnetic field of magnitude 0.31T directed perpendicular to the plane of the coil. If the area of the coil increases at the rate of 5.3 10-3 m2/s, what is the magnitude of the emf induced in the coil? mV Need Help? Show My Work Optional) A pickup truck has a width of 79.6 in. If it is traveling north at 41 m/s through a magnetic field with vertical component of 38 what magnitude emf is induced between the driver and passenger sides of the truck? Show My Work Optional) A long, straight wire lies in the plane of a circular coil with a radius of 0.010 m. The wire carries a current of 2.0 A and is placed along a diameter of the coil. (a) What is the net flux through the coil? (b) If the wire passes through the center of the coil and is perpendicular to the plane of the coil, find the net flux through the coil. Need Help? Show My Work (Optionalo The plane of a rectangular coil, 5.0 cm by 7.0 cm, is perpendicular to the direction of a magnetic fields. If the coil has 100 turns and a total resistance of 8.0 , at what rate must the magnitude of change to induce a current of 0.10 A in the windings of the coil? T/s

Explanation / Answer

8) The magnitude of the emf induced in the coil :
=d/dt

=d(B.S)/dt

=B.dS/dt
we have :

dS/dt = 5.3x10^-3 m2 /s
=> =0.31*5.3x10^-3

= 1.643x10^-3 V= 1.643 mV

9)

The magnitude of the emfis induced between the driver and passenger sides of the truckis

                =BLv

Here B = 38*10^-6T

          v=41 m/s

           L= 79.6(2.54*10^-2)m

substitute the values.

=BLv

= 38*41*10^-6*79.6(2.54*10^-2)

= 3.15mV

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