A uniform magnetic field is applied perpendicular to the plane of 60-turn circul

Question

A uniform magnetic field is applied perpendicular to the plane of 60-turn circular coil with a radius of 6.0 cm and a resistance of 060 ohm. If the magnetic field increases uniformly from 0.20 T to 1.8 T in 0.20 s, what is the magnitude of the emf induced in the coil? A) 7.2 V B) 12 V C)9.2 V D) 5.4 V E) 16 V A conducting bar moves along frictionless conducting rails connected to a 4.00-ohm resistor as shown in the figure. The length of the bar is 1.60 m and a uniform magnetic field of 2.20 T is applied perpendicular to the paper pointing outward, as shown. What is the applied force required to move the bar to the right with a constant speed of 6.00 m/s? A) 10.5 N B) 20.3 N C) 18.6 N D) 24.7 N E)7.4 N The three loops of wire shown in the figure are all subject to the same uniform magnetic field B vector that does not vary with time. Loop 1 oscillates back and forth as the bob in a pendulum, loop 2 rotates about a vertical axis, and loop 3 oscillates up and down at the end of a spring. Which loop, or loops, will have an emf induced in them? A) loop 1 only B) loop 2 only C) loop 3 only

Explanation / Answer

15)induced emf = - change in magnetic flux / time taken= - B2Acos 0-B1Acos0/time

Emf=-60×3.14×6×10^-2×6×10^-2(1.8-0.2)/0.2=5.4V

16) F=BILsin90=BIL

I=induced emf/R=Blv/R

F=B^2l^2v/R=2.2×2.2×1.6×1.6×6/4=18.58N=18.6N

17) in only loop 2 induced emf wil produce because magnetic flux linked with loop 2 wil change only as loop 2 wil rotate angle between field and area vector wil change in rest cases magnetic flux wil not change   

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