Moving Charges and Magnetism

🔹 Magnetic Force (Lorentz Force)

F = q(v × B)

Angle θ hone par: F = qvB sinθ

🔹 Force on Current Carrying Wire

F = I(L × B)

🔹 Motion in Magnetic Field

Radius of circular path:

r = mv / (qB)

Time period:

T = 2πm / (qB)

🔹 Biot-Savart Law

dB = (μ₀ / 4π) * (Idl × r̂) / r²

🔹 Magnetic Field of Straight Wire

B = μ₀I / (2πr)

🔹 Ampere’s Law

∮B·dl = μ₀I

🔹 Force Between Two Wires

F/L = μ₀I₁I₂ / (2πd)

🔹 Moving Coil Galvanometer

τ = nBIA

🔥 Important PYQs

Q1. Electron enters perpendicular to magnetic field. What is its path?
👉 Answer: Circular
Q2. Two parallel wires carry current in same direction. Force between them?
👉 Answer: Attractive
Q3. Radius increases when velocity increases. True or False?
👉 Answer: True (r ∝ v)
Q4. What happens if charge is negative?
👉 Direction reverses

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