A wire carrying current i is placed inside a uniform magnetic field vecB=-B0 hatk. The shape of the wire is parabolic and has equation y=2 x-x2. If the force on the wire is a B0 i, then find a.

Question

A wire carrying current i is placed inside a uniform magnetic field vecB=-B0 hatk. The shape of the wire is parabolic and has equation y=2 x-x2. If the force on the wire is a B0 i, then find a. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

y=2 x-x2=0 x=0 or x=2 F=B i l=B0 i × 2

Q. A wire carrying current $i$ is placed inside a uniform magnetic field $B = - B_{0} \hat{k}$ . The shape of the wire is parabolic and has equation $y = 2 x - x^{2}$ . If the force on the wire is $a B_{0} i$ , then find $a$ .

$y = 2 x - x^{2} = 0$
$x = 0$ or $x = 2$
$F = B i l = B_{0} i \times 2$

Q. A wire carrying current i is placed inside a uniform magnetic field B=−B0​k^. The shape of the wire is parabolic and has equation y=2x−x2. If the force on the wire is aB0​i, then find a.

y=2x−x2=0 x=0 or x=2 F=Bil=B0​i×2

Q. A wire carrying current $i$ is placed inside a uniform magnetic field $B = - B_{0} \hat{k}$ . The shape of the wire is parabolic and has equation $y = 2 x - x^{2}$ . If the force on the wire is $a B_{0} i$ , then find $a$ .

$y = 2 x - x^{2} = 0$
$x = 0$ or $x = 2$
$F = B i l = B_{0} i \times 2$