A horizontal semi-circular wire of radius r i | vedclass

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

Question

(C) The magnetic force $F_B$ acting on a current-carrying wire in a magnetic field is given by $F_B = I \vec{L}_{eff} 	imes \vec{B}$.For a semi-circu

Vedclass · Accepted Answer

$BIr$

Vedclass · Answer

(C) The magnetic force $F_B$ acting on a current-carrying wire in a magnetic field is given by $F_B = I \vec{L}_{eff} 	imes \vec{B}$.For a semi-circular wire of radius $r$, the effective length $\vec{L}_{eff}$ is the straight-line distance between the two ends, which is the diameter $2r$.Therefore, the magnitude of the magnetic force is $F_B = I(2r)B = 2IrB$.This total upward magnetic force is shared equally by the two identical springs $X$ and $Y$ attached to the ends of the wire.Let $F$ be the force acting on each spring. Then, $2F = F_B$.Substituting the value of $F_B$, we get $2F = 2IrB$.Thus, the force on each spring is $F = I r B$.

Similar Questions

The magnetic field existing in a region is given by $\vec B = B_0 [1 + \frac{x}{l}] \hat k$. $A$ square loop of edge $l$ carrying current $I_0$ is placed with its edges parallel to the $x-y$ axes. Find the magnitude of the net magnetic force experienced by the loop.

$A$ straight current-carrying conductor is kept along the axis of a circular loop carrying current. The force exerted by the straight conductor on the loop is

$A$ rigid wire consists of a semicircular portion of radius $R$ and two straight sections. The wire is partially immersed in a perpendicular magnetic field $B = B_0 \hat{k}$ as shown in the figure. The magnetic force on the wire if it carries a current $i$ is:

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.

The magnetic field existing in a region is given by $\vec{B} = B_0 \left(1 + \frac{x}{l}\right) \hat{k}$. $A$ square loop of edge length $l$ and carrying a current $i$ is placed with its edges parallel to the $x$ and $y$ axes. Find the magnitude of the net magnetic force experienced by the loop.

Vedclass Test Series

Exam Paper Generator

Online Exam Module