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The magnetic field represented by the x\' s is 2 Teslas. The sliding wire is mov

ID: 1512258 • Letter: T

Question

The magnetic field represented by the x' s is 2 Teslas. The sliding wire is moved from one position at t = 0 to the right as shown at t =. 1 sec. What is the direction of the induced current as the wire is moved to the right? Explain how you determined the direction of the current. What is the numerical value of the induced voltage as the wire is moved to the right? If the resistance in the loop is 0.2 H, what is the magnitude of the magnetic force on the wire as it moves to the right. What is the direction of the magnetic force on the wire as it is moved to the right? (Explain how you would know the answer to this question without really having to analyze the system?)

Explanation / Answer


let,


magnteic field, B=2 T


width of the wire, l=0.4 m


length of the wire, b=0.5 m


distance moved by the wire, d=0.5 m


time taken, t=0.1 sec


a)


here,


the direction of the current is counter clock wise


as it try to reduce the net magnetic flux through the closed loop


b)

induced emf=l*v*B


=0.4*(0.5/01)*2


=0.4 volt

c)

magnetic force, F=i*l*B


F=(emf/R)*l*B


F=(0.4/0.2)*0.4*2


F=1.6 N


d)


by using Fleming left rule,


direction of force is towards left side,