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NEET Online Coaching: Master Biot-Savart Law for Top Scores!

Unraveling the Mysteries of Magnetism with Biot-Savart Law

Are you aspiring to ace NEET and secure your dream medical college? A strong grasp of Physics is paramount, and understanding fundamental principles like the Biot-Savart Law is key to success. At NEET Online Coaching, we break down complex topics into easily digestible concepts, ensuring you not only understand but also master them for the exam.

 

What is the Biot-Savart Law?

 

The Biot-Savart Law is a fundamental principle in electromagnetism that allows us to calculate the magnetic field generated by a steady electric current. It's essentially the magnetic equivalent of Coulomb's Law, which deals with electric fields.

In simpler terms, imagine a tiny segment of a wire carrying current. The Biot-Savart Law tells us how much magnetic field this tiny segment produces at a particular point in space. By summing up the contributions from all such tiny segments along the entire current path, we can find the total magnetic field.

The mathematical expression for the Biot-Savart Law is given by:

dB=(μ_0 Idl×r​)/4/pi r^3)

Where:

  • dB is the infinitesimal magnetic field produced by the current element.

  • u_0​ is the permeability of free space (a constant value: 4π×10−7 T⋅m/A).

  • I is the current flowing through the conductor.

  • dl is a small vector length element in the direction of the current.

  • r is the displacement vector from the current element dl to the point where the magnetic field is being calculated.

  • r is the magnitude of the displacement vector r.

  • × denotes the cross product, indicating that the direction of dB is perpendicular to both dl and r.

 

Why is Biot-Savart Law Important for NEET?

 

The Biot-Savart Law forms the basis for understanding magnetic fields due to various current configurations, including straight wires, circular loops, and solenoids. These are frequently tested concepts in the NEET Physics section. Mastering this law allows you to:

  • Solve numerical problems related to magnetic fields.

  • Understand the behavior of magnetic forces on moving charges.

  • Grasp the principles behind electromagnetic devices.

 

Let's Solve Some Easy Numericals!

 

To solidify your understanding, let's work through a couple of standard, easy numerical problems based on the Biot-Savart Law.

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Numerical Example 1: Magnetic Field due to a Long Straight Current-Carrying Wire

​

Problem: A long, straight wire carries a current of 5 A. Calculate the magnetic field at a point 2 cm away from the wire.

 

Solution:

For a long straight current-carrying wire, the magnetic field at a distance r from the wire is given by:

B=2πrμ0​I​

Given: I=5 A r=2 cm=0.02 m μ0​=4π×10−7 T⋅m/A

Substituting the values:

B=2π×0.02 m(4π×10−7 T⋅m/A)×5 A​ B=0.04π20π×10−7​ T B=0.0420​×10−7 T B=500×10−7 T B=5×10−5 T

Therefore, the magnetic field at a point 2 cm away from the wire is 5×10−5 T.

 

Numerical Example 2: Magnetic Field at the Center of a Circular Current Loop

 

Problem: A circular coil of radius 10 cm has 20 turns and carries a current of 2 A. Calculate the magnetic field at its center.

 

Solution:

For a circular coil with N turns and radius R carrying a current I, the magnetic field at its center is given by:

B=2Rμ0​NI​

Given: N=20 turns I=2 A R=10 cm=0.1 m μ0​=4π×10−7 T⋅m/A

Substituting the values:

B=2×0.1 m(4π×10−7 T⋅m/A)×20×2 A​ B=0.2160π×10−7​ T B=800π×10−7 T B=8π×10−5 T

Therefore, the magnetic field at the center of the circular coil is 8π×10−5 T.

 

Why Choose NEET Online Coaching?

 

At NEET Online Coaching, we provide:

  • Expert Faculty: Learn from experienced educators who simplify complex topics.

  • Comprehensive Study Material: Access well-structured notes, practice questions, and previous year papers.

  • Interactive Live Classes: Engage in real-time discussions and doubt-clearing sessions.

  • Personalized Mentorship: Receive individual attention and guidance to overcome your weaknesses.

  • Regular Mock Tests: Evaluate your progress and get familiar with the NEET exam pattern.

Don't let concepts like Biot-Savart Law intimidate you. With NEET Online Coaching, you'll build a strong foundation in Physics and all other subjects, ensuring you're fully prepared to excel in the NEET exam.

Ready to boost your NEET preparation? Enroll in NEET Online Coaching today and take the first step towards a successful medical career!

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