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Page 1 1. Magnetic field due to a moving point charge 3 0 r ) r v ( q 4 B ? ? ? ? ? ? ? ? 2. Biot-savart's Law v r ? ? ? ? ? ? ? ? ? ? ? ? ? 3 0 r r d 4 I dB ? ? 3. Magnetic field due to a straight wire ? 1 ? 2 P ? r B = ? ? 4 0 r I (sin ? 1 + sin ? 2 ) 4. Magnetic field due to infinite straight wire P r ? ? B = ? ? 2 0 r I 5. Magnetic field due to circular loop (i) At centre B = r 2 NI 0 ? (ii) At Axis B = ? ? ? ? ? ? ? ? ? ? ? 2 / 3 2 2 2 0 ) x R ( R N 2 Page 2 1. Magnetic field due to a moving point charge 3 0 r ) r v ( q 4 B ? ? ? ? ? ? ? ? 2. Biot-savart's Law v r ? ? ? ? ? ? ? ? ? ? ? ? ? 3 0 r r d 4 I dB ? ? 3. Magnetic field due to a straight wire ? 1 ? 2 P ? r B = ? ? 4 0 r I (sin ? 1 + sin ? 2 ) 4. Magnetic field due to infinite straight wire P r ? ? B = ? ? 2 0 r I 5. Magnetic field due to circular loop (i) At centre B = r 2 NI 0 ? (ii) At Axis B = ? ? ? ? ? ? ? ? ? ? ? 2 / 3 2 2 2 0 ) x R ( R N 2 6. Magnetic field on the axis of the solenoid ? 2 ? 1 B = 2 nI 0 ? (cos ? 1 – cos ? 2 ) 7. Ampere's Law ? ? ? I d . B 0 ? ? ? 8. Magnetic field due to long cylinderical shell B = 0, r < R = R r , r I 2 0 ? ? ? 9. Magnetic force acting on a moving point charge a. ) B ( q F ? ? ? ? ? ? (i) B ? ? ? ? qB m r ? ? × × × × × × × × × × × × × × × × ? B r T = qB m 2 ? (ii) ? ? B qB sin m r ? ? ? T = qB m 2 ? Pitch = qB cos m 2 ? ? ? b. ? ? E ) B ( q F ? ? ? ? ? ? ? ? 10. Magnetic force acting on a current carrying wire ? ? B I F ? ? ? ? ? ? 11. Magnetic Moment of a current carrying loop M = N · I · A 12. Torque acting on a loop B M ? ? ? ? ? ? Page 3 1. Magnetic field due to a moving point charge 3 0 r ) r v ( q 4 B ? ? ? ? ? ? ? ? 2. Biot-savart's Law v r ? ? ? ? ? ? ? ? ? ? ? ? ? 3 0 r r d 4 I dB ? ? 3. Magnetic field due to a straight wire ? 1 ? 2 P ? r B = ? ? 4 0 r I (sin ? 1 + sin ? 2 ) 4. Magnetic field due to infinite straight wire P r ? ? B = ? ? 2 0 r I 5. Magnetic field due to circular loop (i) At centre B = r 2 NI 0 ? (ii) At Axis B = ? ? ? ? ? ? ? ? ? ? ? 2 / 3 2 2 2 0 ) x R ( R N 2 6. Magnetic field on the axis of the solenoid ? 2 ? 1 B = 2 nI 0 ? (cos ? 1 – cos ? 2 ) 7. Ampere's Law ? ? ? I d . B 0 ? ? ? 8. Magnetic field due to long cylinderical shell B = 0, r < R = R r , r I 2 0 ? ? ? 9. Magnetic force acting on a moving point charge a. ) B ( q F ? ? ? ? ? ? (i) B ? ? ? ? qB m r ? ? × × × × × × × × × × × × × × × × ? B r T = qB m 2 ? (ii) ? ? B qB sin m r ? ? ? T = qB m 2 ? Pitch = qB cos m 2 ? ? ? b. ? ? E ) B ( q F ? ? ? ? ? ? ? ? 10. Magnetic force acting on a current carrying wire ? ? B I F ? ? ? ? ? ? 11. Magnetic Moment of a current carrying loop M = N · I · A 12. Torque acting on a loop B M ? ? ? ? ? ? 13. Magnetic field due to a single pole B = 2 0 r m · 4 ? ? 14. Magnetic field on the axis of magnet B = 3 0 r M 2 · 4 ? ? 15. Magnetic field on the equatorial axis of the magnet B = 3 0 r M · 4 ? ? 16. Magnetic field at point P due to magnet B = 3 0 r M 4 ? ? ? ? 2 cos 3 1 ? S P r NRead More
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FAQs on Important Formulas: Moving Charges and Magnetism - Physics Class 12 - NEET
| 1. How is the force experienced by a moving charge in a magnetic field calculated? |  |
Ans. The force experienced by a moving charge in a magnetic field can be calculated using the formula: \( F = qvB\sin\theta \), where \( F \) is the force, \( q \) is the charge of the moving particle, \( v \) is the velocity of the particle, \( B \) is the magnetic field strength, and \( \theta \) is the angle between the velocity vector and the magnetic field.
| 2. What is the formula for the magnetic force on a current-carrying wire in a magnetic field? | |
Ans. The formula for the magnetic force on a current-carrying wire in a magnetic field is given by: \( F = ILB\sin\theta \), where \( F \) is the magnetic force, \( I \) is the current flowing through the wire, \( L \) is the length of the wire in the magnetic field, \( B \) is the magnetic field strength, and \( \theta \) is the angle between the current and the magnetic field.
| 3. How is the direction of the magnetic force on a moving charge determined? | |
Ans. The direction of the magnetic force on a moving charge is determined by the right-hand rule. Point your thumb in the direction of the velocity of the charge, and your fingers in the direction of the magnetic field. The direction in which your palm faces will indicate the direction of the magnetic force on the charge.
| 4. What is the formula for the magnetic field produced by a current-carrying wire? | |
Ans. The formula for the magnetic field produced by a current-carrying wire is given by the Biot-Savart law: \( B = \frac{\mu_0 I}{2\pi r} \), where \( B \) is the magnetic field strength, \( \mu_0 \) is the permeability of free space, \( I \) is the current flowing through the wire, and \( r \) is the distance from the wire.
| 5. How does the Lorentz force law describe the combined effects of electric and magnetic fields on a charged particle? | |
Ans. The Lorentz force law describes the combined effects of electric and magnetic fields on a charged particle by stating that the total force on the particle is the sum of the electric force and the magnetic force acting on it. Mathematically, it is represented as \( \vec{F} = q(\vec{E} + \vec{v} \times \vec{B}) \), where \( \vec{F} \) is the total force, \( q \) is the charge of the particle, \( \vec{E} \) is the electric field, \( \vec{v} \) is the velocity of the particle, and \( \vec{B} \) is the magnetic field.
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