Skip to main content
ExamCompass
Exam Compass LogoExamCompass
BlogFounderAppLogin

Exams

JEE Main & AdvancedNEET UGClass 12 BoardsClass 11 Boards

Categories

All ArticlesExam NotesRevision
Meet the FounderDownload Android & iOS AppLogin
HomeBlogMagnetic Effects Of Current Class 12 Notes
Exam Notes

Magnetic Effects Of Current Class 12 Physics Revision — Grandmaster Guide

A

Ayush (Founder)

Exam Strategist

Last Updated: 2026-06-01
  • B = μ₀nI
  • F = ILB s∈θ
  • F = qvB s∈θ
  • τ = nIBA s∈θ
  • μ = IA/(NB)
  • B = μ₀I/(2πr)
  • L = μ₀n²Aℓ
  • E = -N(dΦₙ/dt)
  • Φ = BA cosθ
  • Φₙ = ∫B · dA
  • μ = μ₀μᵣ
  • μᵣ = 1 + χ
  • B = μH
  • H = B/μ
  • χ = μᵣ - 1
  • I = neAVₜ
  • Vₜ = √(3kₜT/m)
  • I = Q/t
  • Q = neVₜA
  • Fₘ = Fₗ × B
  • Fₗ = qvB
  • R = μℓ/(2πr)
  • L = μN²A/ℓ
  • U = (1/2)LI²
  • P = VI
  • P = I²R
  • E = IR
  • V = IR
  • R = V/I
  • Xₗ = ωL
  • Z = √(R² + Xₗ²)
  • I = V/Z
  • P = VI cosφ

🪤 The 5 Mistakes That Cost Marks

  • Not using the correct formula for magnetic field due to a current carrying wire
  • Forgetting to consider the direction of the magnetic field
  • Not using the right-hand rule to determine the direction of the magnetic field
  • Not considering the effect of the magnetic field on the motion of a charged particle
  • Not using the correct units for the magnetic field and other related quantities

✏️ 3 Solved PYQs

  • A current of 5A is flowing ∈ a wire of length 2m, the magnetic field at a distance of 0.1m from the wire is
  • B = μ₀I/(2πr) = (4π × 10⁻⁷ × 5)/(2π × 0.1) = 10⁻⁵ T
  • A coil of 100 turns, each of area 0.1m², is placed ∈ a magnetic field of 0.1T, the flux through the coil is
  • Φ = BA cosθ = 0.1 × 0.1 × cos0° = 0.01 Wb
  • A charged particle of mass 10⁻²⁶ kg and charge 1.6 × 10⁻¹⁹ C is moving ∈ a magnetic field of 0.1T with a velocity of 10⁵ m/s, the force on the particle is
  • F = qvB s∈θ = 1.6 × 10⁻¹⁹ × 10⁵ × 0.1 × s∈90° = 1.6 × 10⁻¹⁴ N

🧠 The One Thing Most Students Get Wrong

  • The direction of the magnetic field, students often forget to use the right-hand rule to determine the direction of the magnetic field, this can lead to incorrect answers and loss of marks
  • The right hand rules states that if you point your thumb ∈ the direction of the current, your fingers will curl ∈ the direction of the magnetic field
  • This rule can be used to determine the direction of the magnetic field due to a current carrying wire, a coil, or a solenoid

👁️ Ayush's Note

  • To solve problems related to magnetic effects of current, first identify the type of problem, whether it is related to the magnetic field, force, or flux
  • Then, use the relevant formula and apply the right-hand rule to determine the direction of the magnetic field
  • Make sure to consider the units of the quantities involved and use the correct values for the constants
  • Practice problems regularly to develop problem-solving skills and to learn how to apply the concepts to different situations

🔁 Last 5 Minutes Box

  • Revision of key concepts and formulas
  • Practice of quick calculations and derivations
  • Review of common mistakes and how to avoid them
  • Focus on the most important topics and questions
  • Use of mnemonics and other memory aids to recall key concepts and formulas

📝 Practice MCQs

1. What is the magnetic field at a distance of 0.1m from a wire carrying a current of 5A?

A) 10⁻⁵ T

B) 10⁻⁶ T

C) 10⁻⁷ T

D) 10⁻⁸ T

Answer: A) 10⁻⁵ T, using the formula B = μ₀I/(2πr)

2. A coil of 100 turns, each of area 0.1m², is placed ∈ a magnetic field of 0.1T, what is the flux through the coil?

A) 0.01 Wb

B) 0.1 Wb

C) 1 Wb

D) 10 Wb

Answer: A) 0.01 Wb, using the formula Φ = BA cosθ

3. A charged particle of mass 10⁻²⁶ kg and charge 1.6 × 10⁻¹⁹ C is moving ∈ a magnetic field of 0.1T with a velocity of 10⁵ m/s, what is the force on the particle?

A) 1.6 × 10⁻¹⁴ N

B) 1.6 × 10⁻¹³ N

C) 1.6 × 10⁻¹² N

D) 1.6 × 10⁻¹¹ N

Answer: A) 1.6 × 10⁻¹⁴ N, using the formula F = qvB s∈θ

4. What is the self-inductance of a coil of 100 turns, each of area 0.1m² and length 0.1m?

A) 10⁻⁶ H

B) 10⁻⁵ H

C) 10⁻⁴ H

D) 10⁻³ H

Answer: B) 10⁻⁵ H, using the formula L = μN²A/ℓ

5. A current of 2A is flowing ∈ a wire of length 1m, what is the magnetic field at a distance of 0.05m from the wire?

A) 2 × 10⁻⁵ T

B) 4 × 10⁻⁵ T

C) 6 × 10⁻⁵ T

D) 8 × 10⁻⁵ T

Answer: B) 4 × 10⁻⁵ T, using the formula B = μ₀I/(2πr)


🚀 Ready to Ace Your Exam?

Put your knowledge to the test! Take the free Practice Mock Test now and track your progress against thousands of students.

📚 Academic References

Content verified against peer-reviewed research:

  1. Mixed approaches to achieve autonomous robot mission tasks using ... — theses.fr (ABES) (2025) 🔓 — DOI ↗
  2. JSE 34:2 Summer 2020 Whole Issue PDF — Journal of Scientific Exploration (2020) 🔓 — DOI ↗
  3. Raising Awareness of Artificial Intelligence for Transportation S... — Rosa P: A digital library for transportation research (United States Department of Transportation) (2019) 🔓 — DOI ↗

🔓 = Open Access article

🎬 Watch video explanations on YouTube →


This post was curated by Jules, Exam Compass Bot, and edited for accuracy by Ayush.


📚 Related Topics

Continue your revision with these related guides:

  • 📖 Magnetic Effects of Electric Current Class 10 Science Recap — Grandmaster Guide
  • 📖 Atoms Class 12 Physics Revision — Grandmaster Guide
  • 📖 Communication Systems Class 12 Physics Revision — Grandmaster Guide
  • 📖 Electromagnetic Waves Class 12 Physics Revision — Grandmaster Guide
A

Made by Ayush Kumar

JEE Aspirant & Founder — KV Darbhanga

I'm a JEE Aspirant building Exam Compass to solve the "Black Box" problem of exam preparation. Every feature—from the Neural Mock Engine to the Cognitive Decay Maps—exists because I needed a way to verify my readiness with mathematical certainty. This isn't just a platform; it's the infrastructure I built to win, and now it's open to every student in the trenches.

Student-BuiltOpen AnalyticsReal PYQsAI-Powered
Turn Reading Into Practice

Ready to test your knowledge?

Stop studying blindly. Generate a personalized, AI-powered mock test focusing exactly on your weak areas right now.

Try Exam Compass Free
ExamCompass

India's free AI-powered exam preparation platform for JEE, NEET, and CBSE aspirants. 9,000+ verified PYQs.

Competitive Exams

  • JEE Mains 2026
  • JEE Advanced 2026
  • NEET UG 2026

Board Exams

  • Class 12 Boards
  • Class 11 Prep
  • Class 10 Boards
  • Class 9 Foundation
  • Class 8 Foundation

Resources

  • Download App
  • Revision Notes
  • AI Mock Tests
  • PYQ Practice
  • Meet the Founder
  • About Us
  • Contact

Legal

  • Privacy Policy
  • Terms of Service

Exam Compass is India's free AI-powered exam preparation platform. Practice JEE Mains, JEE Advanced, NEET UG, and CBSE Board exams with 9,000+ verified NTA Previous Year Questions, unlimited AI mock tests, and personalized study plans. All free, forever.

© 2026 Exam Compass. All rights reserved.

Built with ❤️ in India by Ayush Kumar

Exam Compass
Premium Article • blog.examcompass.dev
Empowering Students with AI-Driven Engineering.
Prepared for Scholar
Date: 2026-06-01
CATEGORY: Exam Notes
  • B = μ₀nI
  • F = ILB s∈θ
  • F = qvB s∈θ
  • τ = nIBA s∈θ
  • μ = IA/(NB)
  • B = μ₀I/(2πr)
  • L = μ₀n²Aℓ
  • E = -N(dΦₙ/dt)
  • Φ = BA cosθ
  • Φₙ = ∫B · dA
  • μ = μ₀μᵣ
  • μᵣ = 1 + χ
  • B = μH
  • H = B/μ
  • χ = μᵣ - 1
  • I = neAVₜ
  • Vₜ = √(3kₜT/m)
  • I = Q/t
  • Q = neVₜA
  • Fₘ = Fₗ × B
  • Fₗ = qvB
  • R = μℓ/(2πr)
  • L = μN²A/ℓ
  • U = (1/2)LI²
  • P = VI
  • P = I²R
  • E = IR
  • V = IR
  • R = V/I
  • Xₗ = ωL
  • Z = √(R² + Xₗ²)
  • I = V/Z
  • P = VI cosφ

🪤 The 5 Mistakes That Cost Marks

  • Not using the correct formula for magnetic field due to a current carrying wire
  • Forgetting to consider the direction of the magnetic field
  • Not using the right-hand rule to determine the direction of the magnetic field
  • Not considering the effect of the magnetic field on the motion of a charged particle
  • Not using the correct units for the magnetic field and other related quantities

✏️ 3 Solved PYQs

  • A current of 5A is flowing ∈ a wire of length 2m, the magnetic field at a distance of 0.1m from the wire is
  • B = μ₀I/(2πr) = (4π × 10⁻⁷ × 5)/(2π × 0.1) = 10⁻⁵ T
  • A coil of 100 turns, each of area 0.1m², is placed ∈ a magnetic field of 0.1T, the flux through the coil is
  • Φ = BA cosθ = 0.1 × 0.1 × cos0° = 0.01 Wb
  • A charged particle of mass 10⁻²⁶ kg and charge 1.6 × 10⁻¹⁹ C is moving ∈ a magnetic field of 0.1T with a velocity of 10⁵ m/s, the force on the particle is
  • F = qvB s∈θ = 1.6 × 10⁻¹⁹ × 10⁵ × 0.1 × s∈90° = 1.6 × 10⁻¹⁴ N

🧠 The One Thing Most Students Get Wrong

  • The direction of the magnetic field, students often forget to use the right-hand rule to determine the direction of the magnetic field, this can lead to incorrect answers and loss of marks
  • The right hand rules states that if you point your thumb ∈ the direction of the current, your fingers will curl ∈ the direction of the magnetic field
  • This rule can be used to determine the direction of the magnetic field due to a current carrying wire, a coil, or a solenoid

👁️ Ayush's Note

  • To solve problems related to magnetic effects of current, first identify the type of problem, whether it is related to the magnetic field, force, or flux
  • Then, use the relevant formula and apply the right-hand rule to determine the direction of the magnetic field
  • Make sure to consider the units of the quantities involved and use the correct values for the constants
  • Practice problems regularly to develop problem-solving skills and to learn how to apply the concepts to different situations

🔁 Last 5 Minutes Box

  • Revision of key concepts and formulas
  • Practice of quick calculations and derivations
  • Review of common mistakes and how to avoid them
  • Focus on the most important topics and questions
  • Use of mnemonics and other memory aids to recall key concepts and formulas

📝 Practice MCQs

1. What is the magnetic field at a distance of 0.1m from a wire carrying a current of 5A?

A) 10⁻⁵ T

B) 10⁻⁶ T

C) 10⁻⁷ T

D) 10⁻⁸ T

Answer: A) 10⁻⁵ T, using the formula B = μ₀I/(2πr)

2. A coil of 100 turns, each of area 0.1m², is placed ∈ a magnetic field of 0.1T, what is the flux through the coil?

A) 0.01 Wb

B) 0.1 Wb

C) 1 Wb

D) 10 Wb

Answer: A) 0.01 Wb, using the formula Φ = BA cosθ

3. A charged particle of mass 10⁻²⁶ kg and charge 1.6 × 10⁻¹⁹ C is moving ∈ a magnetic field of 0.1T with a velocity of 10⁵ m/s, what is the force on the particle?

A) 1.6 × 10⁻¹⁴ N

B) 1.6 × 10⁻¹³ N

C) 1.6 × 10⁻¹² N

D) 1.6 × 10⁻¹¹ N

Answer: A) 1.6 × 10⁻¹⁴ N, using the formula F = qvB s∈θ

4. What is the self-inductance of a coil of 100 turns, each of area 0.1m² and length 0.1m?

A) 10⁻⁶ H

B) 10⁻⁵ H

C) 10⁻⁴ H

D) 10⁻³ H

Answer: B) 10⁻⁵ H, using the formula L = μN²A/ℓ

5. A current of 2A is flowing ∈ a wire of length 1m, what is the magnetic field at a distance of 0.05m from the wire?

A) 2 × 10⁻⁵ T

B) 4 × 10⁻⁵ T

C) 6 × 10⁻⁵ T

D) 8 × 10⁻⁵ T

Answer: B) 4 × 10⁻⁵ T, using the formula B = μ₀I/(2πr)


🚀 Ready to Ace Your Exam?

Put your knowledge to the test! Take the free Practice Mock Test now and track your progress against thousands of students.

📚 Academic References

Content verified against peer-reviewed research:

  1. Mixed approaches to achieve autonomous robot mission tasks using ... — theses.fr (ABES) (2025) 🔓 — DOI ↗
  2. JSE 34:2 Summer 2020 Whole Issue PDF — Journal of Scientific Exploration (2020) 🔓 — DOI ↗
  3. Raising Awareness of Artificial Intelligence for Transportation S... — Rosa P: A digital library for transportation research (United States Department of Transportation) (2019) 🔓 — DOI ↗

🔓 = Open Access article

🎬 Watch video explanations on YouTube →


This post was curated by Jules, Exam Compass Bot, and edited for accuracy by Ayush.


📚 Related Topics

Continue your revision with these related guides:

  • 📖 Magnetic Effects of Electric Current Class 10 Science Recap — Grandmaster Guide
  • 📖 Atoms Class 12 Physics Revision — Grandmaster Guide
  • 📖 Communication Systems Class 12 Physics Revision — Grandmaster Guide
  • 📖 Electromagnetic Waves Class 12 Physics Revision — Grandmaster Guide