help me with this question with formula
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Answer:
At distance x, let speed by v
Magnetic flux, ϕ=BA=Bax
Using faraday's laws, induced emf is
ε=
dt
dϕ
=Bav
Using ohm's law,
I=
R
ε
=
R
Bav
v=v
o
+
Force acting on the loop is only due to leading edge.
F=−BIa
mv
dx
dv
=−
R
B
2
a
2
v
∫
v
o
v
dv=−∫
0
x
mR
B
2
a
2
dx
v=v
o
−
mR
B
2
a
2
x
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