The mobile side of the triangular conducting frame shown in the figure is sliding at uniform speed of v = 0.1 m/s along the other two side. This horizontal frame is in a vertical homogeneous magnetic field with an induction of B = 0.4 T.
Resistance per unit length is 1 Ω . Initially at t = 0 sliding rod was at O.
(i) How induced emf vary with time?
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Ans.
(i)
Sol.
A(t) = 
= 
φ (t) = B × A(t) = 
e = 
= 
Induced emf increase with time
(ii)
Sol. i = 
R = 
= 
[ Resistance per unit length = 1 Ω ]
i = 
= 
(iii)
Sol. Work required = 
= 
dt
= 
= 
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