1.A conducting bar slides down under gravity along frictionless, metallic guide
ID: 1383262 • Letter: 1
Question
1.A conducting bar slides down under gravity along frictionless, metallic guide poles, and enters a region of uniform magnetic field as shown in the figure.
As the rod penetrates further into the region of uniform magnetic field B with velocity=10 m/s,
a.Is the magnetic flux intercepted by the closed loop increasing/decreasing/staying unchanged?
b.What is the rate of change of magnetic flux?
c.What is the induced emf across the rod? Which end is at higher potential?
d.What is the magnitude and direction of the induced current in the loop? Justify clearly.
e.What is the magnetic force (magnitude and direction) on the rod due to the induced current?
f.What is the net force on the rod?
I have the answers, I just do not know how to arrive at those answers. Any help would be great!
Explanation / Answer
a) decreasing
b) The rate of chnage of magnetic flux = B*v*L
= 4*10*0.5
= 20 weber/s
c) induced emf = The rate of chnage of magnetic flux through loop
= 20 volts
d) left end is at heigher potentail
e) Induced Current, I = emf/R
= 20/100
= 0.2 A
magnetic force on rod, F = B*I*L*sin(90)
= 4*0.2*0.5
= 0.4 N (upward)
f) Zero
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