A straight conductor carries a current of 5 A. An electron travelling with a speed of 5× 106ms-1 parallel to the wire at a distance of 0.1 m from the conductor, experiences a force of:

Question

A straight conductor carries a current of 5 A. An electron travelling with a speed of 5× 106ms-1 parallel to the wire at a distance of 0.1 m from the conductor, experiences a force of: (A)  8× 10-20N  (B)  3.2× 10-19N  (C)  8× 10-18N  (D)  1.6× 10-19N

Tardigrade Admin · Accepted Answer

F=Bev and B=(μ 0i/2π r) ∴ F=(μ 0i/2π r)× ev =(4π × 10-7× 5/2π × 0.1)× 1.6× 10-19× 5× 106 =8× 10-18N

Q. A straight conductor carries a current of 5 A. An electron travelling with a speed of $5 \times 10^{6} m s^{- 1}$ parallel to the wire at a distance of 0.1 m from the conductor, experiences a force of:

$8 \times 10^{- 20} N$

$3.2 \times 10^{- 19} N$

$8 \times 10^{- 18} N$

$1.6 \times 10^{- 19} N$

zero

$F = B e v$ and $B = \frac{μ _{0} i}{2 π r}$
$∴$ $F = \frac{μ _{0} i}{2 π r} \times e v$
$= \frac{4 π \times 10 ^{- 7} \times 5}{2 π \times 0.1} \times 1.6 \times 10^{- 19} \times 5 \times 10^{6}$
$= 8 \times 10^{- 18} N$

Q. A straight conductor carries a current of 5 A. An electron travelling with a speed of 5×106ms−1 parallel to the wire at a distance of 0.1 m from the conductor, experiences a force of:

8×10−20N

3.2×10−19N

8×10−18N

1.6×10−19N