Moving Charges and Magnetic Field — Formula Sheet
ICSE · Class 12 · Physics
18 formulas from Moving Charges and Magnetic Field (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
2. Biot-Savart Law
dB = (μ0/4π) · (I dl sinθ)/r²
d𝐁 = (μ0/4π) · I(d𝐥 × 𝐫)/r³
B = μ0I/2πr
B = (μ0/4π)(I/r)(sinφ1 + sinφ2)
B = μ0NI/2a
3. Ampere's Circuital Law and Applications
∮B · dl = μ0I
B = μ0nI0
B = μ0μr n I0
B = (μ0/2π)(NI0/a)
B = (μ0/2π)(I/r)
4. Magnetic Force on a Moving Charge
F = Bqv sinθ
𝐅 = q(𝐯 × 𝐁)
F = q(E + v × B)
r = mv/qB = p/qB
T = 2πm/qB ; n = qB/2πm ; ω = qB/m
Finite straight conductor
B = (mu0/4pi)(I/r)(sin phi1 + sin phi2).
Infinite straight conductor
B = mu0 I / 2pi r.
Key relations
For a straight infinite wire, B = (mu0)/(2 pi) times I/r.
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