Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Magnetic Field

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Magnetic Field

In the circuit depicted in the figure, a current of 5.0 A is...

In the circuit depicted in the figure, a current of 5.0 A5.0 \text{ A} is present. The wire PQPQ measures 50 cm50 \text{ cm} in length and is immersed in a magnetic field with a magnitude of 0.20 T0.20 \text{ T}. Determine the magnetic force exerted on the wire PQPQ.
In the circuit depicted in the figure, a current of 5.0 A is present. The wire PQ measures 50 cm in length and is

Options

  1. A50 N50 \text{ N} towards the inside of the circuit
  2. B0.50 N0.50 \text{ N} towards the outside of the circuit
  3. C50 N50 \text{ N} towards the outside of the circuit
  4. D0.50 N0.50 \text{ N} towards the inside of the circuit

Correct answer

D. 0.50 N0.50 \text{ N} towards the inside of the circuit

Step-by-step solution

Given:
Current, I=5.0 AI = 5.0 \text{ A}
Length of wire PQ, L=50 cm=0.5 mL = 50 \text{ cm} = 0.5 \text{ m}
Magnetic field, B=0.20 TB = 0.20 \text{ T}

The magnitude of the magnetic force on the current-carrying wire is given by:
F=ILBsin⁡θF = ILB \sin\theta

Since the magnetic field is perpendicular to the plane of the circuit, θ=90∘\theta = 90^\circ.
F=5.0×0.5×0.20=0.50 NF = 5.0 \times 0.5 \times 0.20 = 0.50 \text{ N}

In the given circuit diagram, the longer line of the battery symbol represents the positive terminal, so the current flows in a clockwise direction. Therefore, the current in wire PQ flows from P to Q (towards the right).

The magnetic field is directed into the plane of the paper. Using the right-hand rule for the cross product F⃗=I(L⃗×B⃗)\vec{F} = I(\vec{L} \times \vec{B}) (or Fleming's Left-Hand Rule), with the current vector L⃗\vec{L} pointing right and the magnetic field B⃗\vec{B} pointing into the page, the resulting magnetic force is directed upwards.

An upward force on wire PQ points towards the inside of the closed circuit loop.

Thus, the magnetic force is 0.50 N0.50 \text{ N} towards the inside of the circuit.
Practice Magnetic Field on Quantrex Academy →

More from Magnetic Field

An electron is projected horizontally with a kinetic energy of 10 keV . A magnetic field… Concepts Of Physics MCQ Edition [Volume 2]In a region where a 1.0 T magnetic field points from south to north, an alpha particle is… Concepts Of Physics MCQ Edition [Volume 2]A particle carrying a charge of 1.0 × 10^ -9 C travels in the x – y plane. A magnetic… Concepts Of Physics MCQ Edition [Volume 2]An experimenter's logbook contains the following entry: "a charged particle is projected… Concepts Of Physics MCQ Edition [Volume 2]A 10 g bullet carrying a charge of 4.00 is fired horizontally at a speed of 270 m s^ -1 .… Concepts Of Physics MCQ Edition [Volume 2]A proton released from rest in a room experiences an initial acceleration a_0 directed… Concepts Of Physics MCQ Edition [Volume 2]A 10 -cm long portion of a straight wire carrying a 10 A current is situated in a 0.1 T… Concepts Of Physics MCQ Edition [Volume 2]An electron is projected horizontally with a kinetic energy of 10 keV . A magnetic field… Concepts Of Physics MCQ Edition [Volume 2] Full Magnetic Field list All Concepts Of Physics MCQ Edition [Volume 2] PYQs