a.)
Since velocity of rod is constant.
So, magnetic force on rod is given by,
Fb = B*i*l = Constant force on rod
also voltage across rod will be
E = B*v*l
from ohm's law,
E = i*R
So, Fb = i^2*R/v
i = sqrt(Fb*v/R)
given values,
Fb = 1.00 N
v = 1.00 m/sec.
R = 7.00 ohm
So, i = sqrt(1*1/7)
i = 0.378 Amp
b.)
Rate of energy = Power = i^2*R
P = (0.378^2)*7.00
P = 1.00 W
c.)
Mechanical power is given by,
P = F*v
from given values,
P = 1.00*1.00
P = 1.00 W
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