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Sheet_2_Quiz_3 - Magnetic Field B = magnetic field(T F =...

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Magnetic Field B = magnetic field (T) F = ILBsinθ F = qvBsinθ V = E/B R (radius) = mv/qB (v is velocity) q/m = v/RB T = 2πm/qB Pitch = Tv (parallel or perpendicular) f = qB/2πm Γ = NIABsinθ (Nm) N = # loops of wire U = -NIABcosθ = -µBcosθ µ = NIA Right Hand Rules Magnetic field produced by current: Thumb points in direction of current. Fingers in direction of B Force on I due to B: Fingers point straight along I, then bend along B. Thumb points in direction of force Force on +q due to B: Fingers point along velocity (v), then along B. Thumb points in direction of force Direction magnetic field points is the south pole. Magnetic field due to straight wire B = µ 0 I / 2πr µ 0 = 4π x 10 -7 Tm/A Force Between Two Parallel Wires F = (µ 0 I 1 I 2 / 2πd)L d = distance b/t wires If current is equal: I 1 /I 2 = R 1 /R 2 If current is not equal: µ 0 I 1 / 2πR 1 = µ 0 I 2 / 2πR 2 Ampere’s Law B in closed path = µ 0 I encl = B(2πr) B = µ 0 I / 2πr Solenoid Bl = µ 0 NI N = # loops B = µ 0 nI N = # loops/unit length = N/l Biot-Savart Law (Loops) dB = µ 0 IdLsinθ / 4πr 2 B = µ 0 IR 2 / 2(R 2 +x 2 ) 3/2 R = radius of loop
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