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Current Loop as a Magnetic Dipole

NEET > Physics > Magnetic Effects of Current and Magnetism > Magnetic Effect of Current > Current Loop as a Magnetic Dipole

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Overview content

Topic 7 of 8 โ€ข Chapter: Magnetic Effect of Current โ€ข Physics

Current Loop as a Magnetic Dipole โ€“ Complete Notes, Revision, Important Questions & Downloads

Current Loop as a Magnetic Dipole is organised around Magnetic Dipole Moment of Current Loop, where the coil is treated as the magnetic analogue of a bar magnet and its response to a uniform field is written through torque, work, and potential energy. NEET tests this topic through the dipole-moment formula M = NiA, through direction by right-hand thumb rule, and through torque or energy conditions such as tau = MB sin theta and U = -MB cos theta. A common applied question asks which loop shape gives the maximum dipole moment for a fixed wire length, and the answer follows directly from the maximum-area property of the circle.

โฌ‡ Download Notes PDFView Important Questions โ†’
Magnetic DipoleTorque LogicHigh Yield
Expected QuestionsQ
1
question from magnetic moment, torque, or loop-shape comparison
Time Requiredโฑ
3 Hours
to connect moment, torque, work, and energy without confusing the role of loop orientation
Difficultyโšก
Medium
the formulas are compact, but students often interchange plane angle and normal angle
NRI USA Curriculum GapUS
Moderate
many courses discuss dipoles abstractly but do less MCQ drill on torque maxima, energy minima, and shape-based moment comparisons
1Subtopics
28+Practice Questions
4Free Downloads
3 hrsPrep Time
โฌ‡ Get Free Downloads

NEET Weightage & Exam Pattern

Magnetic Effect of Current
NEET YearQuestions from this TopicBarMarks
20241
ย 
1 Q
4
20231
ย 
1 Q
4
20221
ย 
1 Q
4
20212
ย 
2 Qs
8
20201
ย 
1 Q
4
Topic Weightage6ย 24
The two highest-frequency tests are direct magnetic moment calculation and torque orientation in a uniform magnetic field.
NEET likes the shape-comparison result: for a given perimeter, a circular loop encloses maximum area and therefore gives maximum magnetic moment.

Work and potential-energy questions are short but angle-sensitive, so students must know whether theta is measured from the field direction to the normal of the loop.
๐Ÿ“Š
1.0
Avg Questions / Year
๐ŸŽฏ
24
Total Marks (6 yrs)
๐Ÿ“ˆ
Direct
Pattern
โš ๏ธ
Medium
Difficulty

Preparation Strategy

1

Lock the Meaning of M = NiA Remember that magnetic moment depends on turns, current, and enclosed area. This instantly solves loop-shape comparisons and multi-turn-coil questions.

2

Use the Right-Hand Thumb Rule for Direction Curl fingers in the direction of current and let the thumb show the direction of magnetic moment. This is faster than imagining a bar magnet every time.

3

Separate Torque from Energy Torque tells you how strongly the loop tends to rotate, while potential energy tells you which orientation is stable. Students often know one relation but forget the other in MCQs.

4

Check the Angle Definition Carefully The formula tau = MB sin theta uses the angle between M and B. If a problem gives the angle of the plane instead of the normal, convert it before substituting.

Download Topic Notes

PDF ยท Cheat Sheet ยท MCQ Set ยท PYQ
๐Ÿ“„
Full Topic Notes
Detailed notes on magnetic moment, torque, work done, and potential energy of a current loop in a field.
PDF8 Pages
Download Notes
๐Ÿ“
Formula Sheet
One-page sheet for M = NiA, tau = MB sin theta, W = MB(1 - cos theta), and U = -MB cos theta.
PDF1 Page
Download Formulas
๐ŸŽฏ
MCQ Practice
Practice set on moment direction, torque conditions, stable-equilibrium logic, and area-based comparisons.
PDF28 Questions
Download MCQs
โณ
Previous Year Questions
Selected PYQs on current-loop magnetic moment, loop shape, and torque in a uniform field.
PDF12 Questions
Download PYQs

Topic Coverage

2-Column Table
Column AColumn B
Magnetic Dipole Moment of Current Loopโ†—

Quick Revision

Concept โ†’ Trap โ†’ Example

1) Magnetic Dipole Moment of Current Loop

Dipole Basics

A current-carrying loop behaves like a magnetic dipole with magnetic moment M = NiA directed by the right-hand thumb rule. In a uniform magnetic field the loop experiences torque tau = MB sin theta and has potential energy U = -MB cos theta.

  • For a fixed perimeter, the circular loop encloses maximum area and therefore gives maximum magnetic dipole moment.
  • The field at the centre of a loop and the magnetic moment vector are parallel for the same current direction.
  • Trap: maximum torque occurs when M is perpendicular to B, but minimum potential energy occurs when M is parallel to B.
Example (NEET-style)If a 20-turn circular coil of area 5 x 10^-3 m^2 carries 2 A, its magnetic moment is NiA = 20 x 2 x 5 x 10^-3 = 0.2 A m^2. In a field of 0.5 T at 90 degree, the torque is MB = 0.1 N m.

US Curriculum Gaps

Note for NRI/OCI students studying abroad.

Loop as Dipole Versus Magnet as Dipole

Many courses discuss bar magnets and current loops separately, while NEET expects students to switch between them using the same dipole-language of moment, torque, and energy.

  • right-hand rule for loop moment
  • analogy with bar-magnet alignment

Angle of the Plane Versus Angle of the Normal

Exam questions often hide the angle definition, and students who do not convert plane angle into normal angle lose an otherwise direct mark.

  • theta in tau = MB sin theta is between M and B
  • stable equilibrium corresponds to minimum potential energy

Concept IQ Check

Exam-style checks
1For a wire of fixed length carrying current, which loop shape gives the maximum magnetic dipole moment?Shape comparison
triangle
square
circle
all give the same value
For fixed wire length, magnetic moment is proportional to enclosed area. Among plane figures with the same perimeter, a circle encloses the maximum area, so it gives the maximum magnetic dipole moment. NEET likes this because it tests whether students connect geometry directly to M = NiA.
2A current loop is in stable equilibrium in a uniform magnetic field when its magnetic moment is:Equilibrium
perpendicular to the field
parallel to the field
opposite to the area vector
always zero
Potential energy is U = -MB cos theta, so it is minimum when theta = 0 degree, meaning M is parallel to B. That orientation is stable equilibrium. Students often confuse this with the maximum-torque case at 90 degree.

NEET Practice Questions

Click "Reveal Answer" after attempting
1The magnetic dipole moment of a current loop depends directly on:
current and area
resistance only
field only
radius only but not current
๐Ÿ‘ Reveal Answer
Current and area. For a single-turn loop, M = IA. For an N-turn loop, M = NiA, so current, enclosed area, and number of turns all increase the magnetic dipole moment.
2A current loop in a uniform magnetic field has maximum torque when the angle between M and B is:
0 degree
30 degree
90 degree
180 degree
๐Ÿ‘ Reveal Answer
90 degree. The torque is tau = MB sin theta, so it becomes maximum when sin theta = 1. That happens when the magnetic moment is perpendicular to the field.
3The potential energy of a current loop in a magnetic field is minimum when:
M is perpendicular to B
M is parallel to B
M is opposite to B with maximum torque
current is zero only
๐Ÿ‘ Reveal Answer
M is parallel to B. Since U = -MB cos theta, the minimum value occurs at theta = 0 degree, where cos theta is maximum and positive.
4A loop has 5 turns, carries 2 A current, and encloses area 0.01 m^2. Its magnetic moment is:
0.01 A m^2
0.1 A m^2
1 A m^2
10 A m^2
๐Ÿ‘ Reveal Answer
0.1 A m^2. Using M = NiA gives 5 x 2 x 0.01 = 0.1 A m^2. This is a direct substitution question, but it also checks whether the student remembers to include the number of turns N instead of using only IA for a single loop.
5The right-hand thumb rule for a current loop gives the direction of:
electric field
magnetic moment
resistance
charge density
๐Ÿ‘ Reveal Answer
Magnetic moment. Curling the fingers in the direction of current makes the thumb point along the magnetic moment vector and along the loop's area vector.

Physics Revision Checklist

Check off chapters as you revise

Use this section for quick chapter tracking before mocks, part tests, and final NEET revision.

Tip: Mark a chapter complete only after revising formulas, solving PYQs, and reviewing your error log for that chapter.

Frequently Asked Questions

Notes ยท Downloads ยท Revision ยท Important Questions
Why does a current loop behave like a magnetic dipole?
Because the circulating current creates a magnetic field pattern similar to that of a small bar magnet. This allows the loop to be described by a magnetic moment vector.
What is the formula for magnetic moment of a current loop?
For a loop of area A carrying current i with N turns, the magnetic moment is M = NiA.
How is the direction of magnetic moment decided?
Use the right-hand thumb rule: curl the fingers in the current direction, and the thumb gives the direction of the magnetic moment.
Why does a circular loop give more magnetic moment than a square loop of the same wire length?
Because magnetic moment is proportional to enclosed area, and among all plane curves of a given perimeter the circle encloses the largest area.
When is the torque on the loop zero?
Torque is zero when theta = 0 degree or 180 degree because sin theta becomes zero. In those orientations the magnetic moment is parallel or antiparallel to the field.
When is the potential energy minimum?
Potential energy is minimum when the magnetic moment is parallel to the magnetic field, because U = -MB cos theta then takes its most negative value.
Is maximum torque the same as stable equilibrium?
No. Maximum torque occurs at 90 degree, while stable equilibrium occurs at 0 degree where the potential energy is minimum.
What is the most common trap in this topic?
Students often use the angle of the plane of the loop directly in tau = MB sin theta. The formula actually uses the angle between the magnetic moment vector and the magnetic field.
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Magnetic Dipole Moment of Current Loop

Subtopics

Magnetic Dipole Moment of Current Loop

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Current Loop as a Magnetic Dipole > Magnetic Dipole Moment of Current Loop > Behaviour of Current Loop in Magnetic Field
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Magnetic Dipole Moment of Current Loop

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NEET > Physics > Magnetic Effects of Current and Magnetism Chapters

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