Two straight conducting rails form a right angle where their ands are joined. A conducting bar contanct with the rails starts at vertex at the time `t=0` & moves symmetrically with a constant velocity of `5.2 m//s` to the right as shown in figure. A `0.35 T` magnetic field point out of the page. Calculate:
(i) The flux through the tringle by the rails & ber at `t=3.0 s`.
(ii) The emf around the tringle at that time.

In what manner does the emf around the tringle vary with time.

Answer

`(i) 85.22 Tm^(2); (ii) 56.8 V; (iii) linearly`

Explanation

(i)` phi=BA, =B(1/2vtxxvt)xx2=Bv^(2)t^(2)`
`phi=0.35xx(5.2)^(2)xx(3)^(2)=85.22 weber`
(ii) `e=|(dphi)/(dt))=Bv^(2)2t=2Btv^(2)
2xx0.35xx3xx(5.2)^(2)=56.8 "volt" `
(iii) `e=2Bv^(2)t implies e propt`