A rectangular coil (Dimension $5 cm \times 2.5 cm$ ) with $100$ turns, carrying a current of $3 A$ in the clock-wise direction, is kept centered at the origin and in the X-Z plane. A magnetic field of $1 T$ is applied along X-axis. If the coil is tilted through $45^{\circ}$ about Z-axis, then the torque on the coil is

0.42 Nm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.38 Nm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.55 Nm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0.27 Nm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $0.27 Nm$

$\to τ = \to m \times \to B$

$τ = m B sin 45^{\circ} = N (i A) B sin 45^{\circ}$
$τ = 100 \times 3 (5 \times 2.5) \times 10^{- 4} \times 1 \times \frac{1}{\sqrt{2}} τ = 0.27 Nm$

Suggest Corrections

Similar questions

A rectangular coil of 100 turns has length 5 cm and width 4 cm. It is placed with its plane parallel to a uniform magnetic field and a current of 2 A is sent through the coil. Find the magnitude of the magnetic field B, if the torque acting on the coil is $0.2 N m^{- 1} .$

Q. A rectangular loop of size (3 cm x 5 cm) having 100 turns carries a current of 2A placed in a uniform magnetic field of 5 T. If the angle between a plane of a coil and magnetic field is

37^{0}

. The torque acting on the loop is (Axis rotation is lying in the plane and perpendicular to B.)

Q. Magnetic field at the centre of a coil carrying current in clock wise direction is:

Moving coil galvanometer operates on Permanent Magnet Moving Coll (PMMC) mechanism.

Moving coil galvanometers are of two types
(a) Suspended coll
(b) Pivoted coil type or tangent galvanometer,

Its working is based on the fact that when a current carrying coil is placed in a magnetic field, it experiences a torque. This torque tends to rotate the coil about its axis of suspension in such a way that the magnetic flux passing through the coil is maximum.

$(i v)$ In a moving coil galvanometer, having a coil of $N$ -turns of area $A$ and carrying current $I$ is placed in a radial field of strength $B$ . The torque acting on the coil is

Q. A magnet is in the form of a bar. Initially, the axis of the bar magnet is along x-axis. At some distance from the magnet, a coil is kept in the y-z plane with its center along x-axis. Which of the following motions of the bar magnet will NOT induce electric current in the coil?

Join BYJU'S Learning Program

A rectangular coil (Dimension 5 cm×2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction, is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X-axis. If the coil is tilted through 45∘ about Z-axis, then the torque on the coil is

The correct option is D 0.27 Nm →τ=→m×→B τ=mBsin45∘=N(iA)Bsin45∘ τ=100×3(5×2.5)×10−4×1×1√2τ=0.27 Nm

The correct option is D $0.27 Nm$

$\to τ = \to m \times \to B$

$τ = m B sin 45^{\circ} = N (i A) B sin 45^{\circ}$
$τ = 100 \times 3 (5 \times 2.5) \times 10^{- 4} \times 1 \times \frac{1}{\sqrt{2}} τ = 0.27 Nm$