A current i = 2 , A flows through a wire fram | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The magnetic force on a current-carrying wire is given by $\vec{F} = i(\vec{L} 	imes \vec{B})$,where $\vec{L}$ is the displacement vector from th

Vedclass · Accepted Answer

$24$

Vedclass · Answer

(A) The magnetic force on a current-carrying wire is given by $\vec{F} = i(\vec{L} 	imes \vec{B})$,where $\vec{L}$ is the displacement vector from the start to the end of the wire segment.For the upper triangle $ACD$,the path is $C 	o A 	o D$. The displacement vector $\vec{L}_{CAD}$ is the vector from $C$ to $D$,which is the same as the segment $CD$.Similarly,for the lower triangle $CDE$,the path is $C 	o E 	o D$. The displacement vector $\vec{L}_{CED}$ is also the vector from $C$ to $D$.There is also a wire segment directly from $C$ to $D$ with current $i$ flowing from $C$ to $D$.Thus,the total force is the sum of forces on three parallel segments,each of length $l = 1 \, m$ carrying current $i = 2 \, A$ in the same direction from $C$ to $D$.$F_{net} = F_{CAD} + F_{CED} + F_{CD} = 3 	imes (i \cdot l \cdot B)$$F_{net} = 3 	imes (2 \, A 	imes 1 \, m 	imes 4 \, T) = 3 	imes 8 \, N = 24 \, N$.

Similar Questions

$A$ straight horizontal long wire carries $30 \ A$ current. The linear mass density of the wire is $45 \ g/m$. What is the magnitude of the magnetic field needed to balance the wire in air?

$A$ conducting loop carrying a current $I$ is placed in a uniform magnetic field pointing into the plane of the paper as shown. The loop will have a tendency to

The force on a current-carrying loop (radius $= R$) in a uniform magnetic field $(B)$,which is at an angle $30^{\circ}$ with the normal,will be:

An infinitely long,straight conductor $AB$ is fixed and a current $i_1$ is passed through it. Another movable straight wire $CD$ of finite length carrying current $i_2$ is held perpendicular to it and released. Neglect the weight of the wire.

Vedclass Test Series

Exam Paper Generator

Online Exam Module