A wire along $x -$ axis carries a current $3.5 A$ . Find the force on a $1$ m section of the wire exerted by $\to B = (0.74^j - 0.36^k) T$ .(in N):

2.59^k + 1.26^j

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1.26^k - 2.59^j

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- 2.59^k - 1.26^j

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- 1.26^k + 2.59^j

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Solution

The correct option is D $2.59^k + 1.26^j$
Force on the wire segment:
$F = i (\to d l \times \to B)$
$F = 3.5 \times (1) (^i \times (0.74^j - 0.36^k))$
$F = 3.5 \times (0.36^j + 0.74^k)$
$F = 1.26^j + 2.59^k N$

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A wire along x−axis carries a current 3.5A. Find the force on a 1 m section of the wire exerted by →B=(0.74^j−0.36^k) T.(in N):

The correct option is D 2.59^k+1.26^jForce on the wire segment: F=i(→dl×→B)F=3.5×(1)(^i×(0.74^j−0.36^k))F=3.5×(0.36^j+0.74^k)F=1.26^j+2.59^k N

A wire along $x -$ axis carries a current $3.5 A$ . Find the force on a $1$ m section of the wire exerted by $\to B = (0.74^j - 0.36^k) T$ .(in N):

The correct option is D $2.59^k + 1.26^j$
Force on the wire segment:
$F = i (\to d l \times \to B)$
$F = 3.5 \times (1) (^i \times (0.74^j - 0.36^k))$
$F = 3.5 \times (0.36^j + 0.74^k)$
$F = 1.26^j + 2.59^k N$