Question:
A current carrying coil is placed in an uniform magnetic field, with its plane parallel to the magnetic
field. If the coil turns through angle $\theta$, the torque $\tau$ and $\theta$ are related as :
A current carrying coil is placed in an uniform magnetic field, with its plane parallel to the magnetic
field. If the coil turns through angle $\theta$, the torque $\tau$ and $\theta$ are related as :
Updated On: Jul 5, 2022
- $\tau\propto\sin\theta$
- $\tau\propto\cos\theta$
- $\tau\propto\tan\theta$
- $\tau\propto\cot\theta$
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
For current carrying coil $\overrightarrow{p_m}$ is directed perpendicular to the plane of the coil. When the coil
turns through angle $\overrightarrow{\theta}$, angle between $\overrightarrow{p_m}$ and $\overrightarrow{B}$ is (90 - $\theta$). Also $\overrightarrow{\tau} = \overrightarrow{p_m} \times \overrightarrow{B}$.
Was this answer helpful?
0
0
Top Questions on torque
- The coordinates of a particle with respect to origin in a given reference frame is \( (1, 1, 1) \) meters. If a force of \( \mathbf{F} = \hat{i} - \hat{j} + \hat{k} \) acts on the particle, then the magnitude of torque (with respect to origin) in the z-direction is:
- A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at the 40 cm mark. A mass of 400 g is suspended at the 10 cm mark. To maintain the balance of the rod, the mass to be suspended at the 90 cm mark is:
- A region in the form of an equilateral triangle (in x-y plane) of height L has a uniform magnetic field 𝐵⃗ pointing in the +z-direction. A conducting loop PQR, in the form of an equilateral triangle of the same height 𝐿, is placed in the x-y plane with its vertex P at x = 0 in the orientation shown in the figure. At 𝑡 = 0, the loop starts entering the region of the magnetic field with a uniform velocity 𝑣 along the +x-direction. The plane of the loop and its orientation remain unchanged throughout its motion.
Which of the following graph best depicts the variation of the induced emf (E) in the loop as a function of the distance (𝑥) starting from 𝑥 = 0? - A uniform magnetic field of \( 2 \times 10^{-3} \, \text{T} \) acts along positive Y-direction. A rectangular loop of sides 20 cm and 10 cm with current of 5 A is in the Y-Z plane. The current is in anticlockwise sense with reference to the negative X-axis. Magnitude and direction of the torque is:
- The torque acting on a magnetic dipole placed in uniform magnetic field is zero, when the angle between the dipole axis and the magnetic field is _____.
View More Questions
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