Magnetic Fields due to Electric Current — Formula Sheet
Maharashtra Board · Class 12 · Physics
8 formulas from Magnetic Fields due to Electric Current (Maharashtra Board Class 12 Physics) on one page, grouped by topic.
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Formulas and Key Relations
Cyclotron Motion and Applications
Radius of circular path
R = mv/(qB) = p/(qB)
Cyclotron frequency
f = qB/(2πm) - independent of velocity
Torque on Current Loop and Magnetic Dipole
Torque magnitude
τ = μB sin θ (θ between μ⃗ and B⃗)
Key relations
The total force on a charge q moving with velocity v in electric field E and magnetic field B is F = q[E + (v × B)].
The magnetic force Fm = q(v × B)
A charged particle in a uniform magnetic field moves in a circular path with radius R = mv/(qB) and frequency f = qB/(2πm).
The magnetic field dB at point P due to current element Idl at distance r is dB = (μ₀/4π) × (Idl × r̂)/r².
A straight conductor of length L carrying current I in magnetic field B experiences force F = IL × B.
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