Magnetic Field and Earth's Magnetism — Formula Sheet
ICSE · Class 12 · Physics
18 formulas from Magnetic Field and Earth's Magnetism (ICSE Class 12 Physics) on one page, grouped by topic. Part of the ICSE Class 12 Physics syllabus.
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Formulas and Key Relations
1. Current Loop as a Magnetic Dipole
τ = IAB sinθ
m = IA
m→ = I A→
m→ = NIA→
τ→ = m→ × B→
2. Revolving Electron, Gyromagnetic Ratio, and Bohr Magneton
I = e/T = ev/(2πr)
A = πr²
J = mevr
m/J = e/(2me)
3. Magnetic Field of a Bar Magnet
B = (μ0/4π) × [2mr/(r² - l²)²]
4. Torque and Potential Energy of a Magnetic Dipole
τ = mB sinθ
τmax = mB
m = τmax/B
U = mB(cosθ1 - cosθ2)
Uθ = -mBcosθ
Current due to electron revolution is I = e/T.
Magnetic moment of revolving electron is m = evr/2.
Small-magnet approximation gives B ∝ 1/r^3.
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