Question

1. For the railgun in Fig. 1, assume a current source that supplies lo. (a) Does this result in a constant velocity or acceleration? (b) What is the force on the bar as a result of the current source? (c) Suppose Xmax = 1 m, l = 0.1 m, B, = 1T, lo = 10 A, and the bar's mass is 1 kg. What is the speed of the bar as it reaches the end of the rail? (d) Are there any Lorentz forces acting on the rails during operation?

Answer 1

Answoi FOJT the ailgun fn the Fia max Figh TnThis fiy assume sOe that sSUpplies Io. a cunent On a ciacit ba s cormplefely Sowce cuen b- Ts the low ob though the comp ete ba ayelccity oy aaelojaffen: the ba is doc to fntel atHon * The foce acttng on then Exling the bas went lowthovgh MagneHe pleld he Exictfng C7enflowing hscughthe be ctnd on the nst ant b e magnette pleld hs the onstant oce is atting on ba7 the Athe setain tce Is acting on he ba cnstaut on that paticolar b Haves auith ansiant acdojation

Th this he gegult in a constant ot acc eleofin The fnce oh the bc as a 3eSult t the cvent Sc he focef' 5 PeJiKE)=S( these yalues ane &ubs e in EF O PI(iKB)=TnC) x B'-R] the speed of the ba Given dafa Xmax = lm IT lo = l0A M.-Ik =/X la Xo.1

1oXo = 1או P INT hen he fril-fal velocit is = o 1 2 2 EVES the tinal velocEky af V= /XJ d)he lonentz Foices aching on the soils daning openafien the boice ob ban due to inteaebbon o rent cund maynetf field i peint

- ToB =rfxer-Ri] B- F- he Foace ob atting is ppeOstke digecdien. the loyenk z Reces acHng on the Yal is d lug opanotfon son he Foe oackng on opOsile dia ectfon.