PHYS 2306 Test 3 Review Sheet

PHYS 2306 Test 3 Review Sheet - PHYS 2306 Test 3 Formula...

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PHYS 2306 Test 3 – Formula Sheet Electric Field: (+) Out; (-) In Resistors in series: R T = R 1 +R 2 +… Resistors in parallel: 1/R T = 1/R 1 +1/R 2 +… τ = RC [ time constant for R-C circuit ] τ = L/R [ time constant for R-L circuit ] dB = µ 0 /(4π) I dl sin /r Ѳ 2 = B μ0I4πRφ [ at the center of a circular arc ] = B μ0I2R [ at the center of a loop ] = B μ0I2πR [ long straight conductor ] = Br μ0I2πR2r [ inside long straight conductor ] = B μ0nI [ solenoid ] F = qvB sinФ [ force on a charged particle in a magnetic field ] F = mv 2 /R [ force on a charged particle in circular orbit ] R = mv/(|q|B) [ radius of a circular orbit in a magnetic field ] ω = v/R = |q|B/m [ angular speed of a particle in circular orbit ] * Motion of a charged particle under the action of a magnetic field alone is always motion with constant speed F = IlB sinФ [ total force on all moving charges in length l of a conductor ] τ = IBA sinФ [ magnitude of torque on a current loop ] τ = µ × B [ vector torque on a current loop ] τ = NIAB sinФ [ total torque on a solenoid in a magnetic field ] U = -µ · B = -µB cosФ [ potential energy for a magnetic dipole ] * The net force on a current loop in a uniform magnetic field is zero. However, the net torque is not in general equal to zero. B = µ 0 I/(2πr) [ a long, straight, current-carrying conductor
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This note was uploaded on 04/09/2008 for the course PHYS 2306 taught by Professor Ykim during the Fall '06 term at Virginia Tech.

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