Question:
A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_1, F_2, $ and $ F_3$ respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is
A closed loop PQRS carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments PS, SR and RQ are $F_1, F_2, $ and $ F_3$ respectively and are in the plane of the paper and along the directions shown, the force on the segment QP is
Updated On: Aug 3, 2024
- $\sqrt{(F_3-F_1)^2-F_2^2}$
- $F_3-F_1+F_2$
- $F_3-F_1-F_2$
- $\sqrt{(F_3-F_1)^2+F_2^2}$
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The Correct Option is D
Solution and Explanation
$F_4 \sin \theta =F_2$
$F_4 \cos \theta =(F_3-F_1)$
$\therefore F_4=\sqrt{(F_3-F_1)^2+F_2^2}$
For a closed loop there is no translation.
$F_4 \cos \theta =(F_3-F_1)$
$\therefore F_4=\sqrt{(F_3-F_1)^2+F_2^2}$
For a closed loop there is no translation.
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Concepts Used:
Torque
Torque is a moment of force. Torque is measured as a force that causeque is also defined as the turning effect of force on the axis of rotation. Torque is chs an object to rotate about an axis and is responsible for the angular acceleration. Characterized with “T”.
How is Torque Calculated?
Torque is calculated as the magnitude of the torque vector T for a torque produced by a given force F
T = F. Sin (θ)
Where,
r - length of the moment arm,
θ - the angle between the force vector and the moment arm.
Read More: Torque
Types of Torque
Torque is of two types:
- Static torque
- Dynamic torque