Magnetic Effect of Current Formula for NEET
Magnetic Effect of Current Formula refers to the phenomenon where an electric current flowing through a conductor produces a magnetic field around it. Magnetic Effect of Current Formula includes Ampère's Circuital Law, Biot-Savart Law, Right-Hand Thumb Rule.
Praveen Kushwah17 Jan, 2024
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Magnetic Effect of Current Formula : The magnetic effect of current refers to the phenomenon where an electric current flowing through a conductor produces a magnetic field around it. This relationship between electricity and magnetism is a fundamental principle in electromagnetism.
The magnetic effect of current is described by various formulas and laws, including Ampère's Circuital Law, Biot-Savart Law, Right-Hand Thumb Rule, and many more. These Magnetic Effect of Current Formula plays an important role in NEET 2024 syllabus So students are suggested to have a strong grasp on these formulas to perform well in the exam.Magnetic Effect of Current Formula
The Magnetic Effect of Current involves the generation of a magnetic field around a conductor carrying an electric current. This phenomenon is fundamental to electromagnetism and is described by several key formulas and principles. Here's an overview:Magnetic Field Due to a Moving Point Charge
When a charged particle moves with a velocity (v), it generates a magnetic field (B). The formula is given by the Biot-Savart Law and is also part of the more comprehensive Lorentz force equation.
4π × 10 -7 N·s 2 /C 2
It is called the permeability of free space
Right-Hand Thumb Rule
It's a rule used to determine the direction of the magnetic field around a current-carrying conductor. If you point your thumb in the direction of the current, your fingers curled around the conductor indicate the direction of the magnetic field.Biot- Savart’s Law
Biot-Savart's Law is a fundamental principle in electromagnetism that describes the magnetic field generated by a steady current flowing through a conductor. The law is named after the French physicists Jean-Baptiste Biot and Félix Savart. The formula for Biot-Savart's Law is:
Magnetic Field Due To a Straight Wire
Ampère's Law describes the magnetic field (B) around a long straight current-carrying wire. The field forms concentric circles around the wire, and its strength depends on the current and the distance from the wire.
Magnetic Field Due To an Infinite Straight Line
Similar to the straight wire case, an infinite straight line of current generates a magnetic field using Ampère's Law. The field strength decreases with distance from the line.
Magnetic Field Due To a Circular Loop
The magnetic field at the center of a current-carrying circular loop is determined using the Biot-Savart Law. The field is perpendicular to the plane of the loop and has rotational symmetry.
At centreB= μ0NI/2rii) At axis
Magnetic Field On The Axis Of a Solenoid
A solenoid is a tightly wound coil of wire. The magnetic field along its axis is strong and nearly uniform. The field strength depends on the current, the number of turns per unit length, and permeability.
i) B= 0, r ＜ Rii) B = μ0I/2πr, r ≥ R
Amperes Law
Ampère's Law relates the magnetic field around a closed loop to the current passing through the loop. It is mathematically expressed as
Magnetic Force Acting On a Moving Point Charge
The force experienced by a moving charged particle in a magnetic field is given by the Lorentz force equation:
Magnetic Force Acting On a Current Carrying Wire
The force experienced by a current-carrying wire in a magnetic field is also described by the Lorentz force equation. The force depends on the current, the length of the wire, the magnetic field, and the angle between them.
Magnetic Moment Of a Current Carrying Loop
The magnetic moment of a current loop is given by the product of the number of turns (N), the current (I), and the area (A) of the loop. It is a measure of the strength and orientation of the magnetic field produced by the loop.M = NIA
Torque Acting On a Loop
The torque (τ) acting on a current-carrying loop in a magnetic field is given by the formula
Where M is the magnetic moment and B is the magnetic field.
Magnetic Field Due To Single Pole
B = (μ0/2π) m/r2
The magnetic field (B) produced by a single magnetic pole of strength (m) at a distance (r) is given by this formula. However, isolated magnetic poles are theoretical and do not exist in nature.Magnetic Field on The Axis of The Magnet
B = (μ0/4π) 2M/r3
It describes the magnetic field along the axis of a magnet with magnetic moment (M). The field strength decreases with the cube of the distance (r).Magnetic Field on Equatorial Axis of The Magnet
B = (μ0/4π) M/r3
It describes the magnetic field on the equatorial axis of a magnet with magnetic moment (M). The field strength decreases with the cube of the distance (r).Magnetic Field at Point P of The Magnet
The magnetic field at a point (P) around a magnet is determined by its magnetic moment (M) and the distance from the magnet. The specific formula would depend on the orientation and configuration of the magnet.
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Magnetic Effect of Current Formula FAQs
What is the magnetic effect formula?
The magnetic effect of current is described by various formulas. One fundamental formula is Ampère's Circuital Law: ∮ B · dl = μ₀Iₑ, which relates the magnetic field (B) around a closed loop to the current (I) passing through the loop.
What is the formula for magnetism current?
The formula for the magnetic field (B) around a long straight conductor carrying current (I) is given by B = (μ₀I)/(2πr), where r is the distance from the conductor, and μ₀ is the permeability of free space.
What are the magnetic effects of current?
The magnetic effects of current include the generation of a magnetic field around a current-carrying conductor, as described by Ampère's Law and the Biot-Savart Law. Other effects include the force experienced by a current-carrying conductor in a magnetic field and the creation of electromagnets.
What is the magnetic field formula Class 12?
The magnetic field formula for a long straight conductor in Class 12 Physics is B = (μ₀I)/(2πr), where B is the magnetic field strength, I is the current, r is the distance from the conductor, and μ₀ is the permeability of free space.
What is current formula?
The formula for electric current (I) is given by Ohm's Law: I = V/R, where V is the voltage and R is the resistance.
What is magnetic field formula and SI unit?
The formula for the magnetic field (B) around a long straight conductor is B = (μ₀I)/(2πr), and its SI unit is the Tesla (T). The permeability of free space (μ₀) is approximately 4π × 10⁻⁷ T m/A.
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