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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 RC circuit
]
τ = L/R
[
time constant for RL 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/(qB)
[
radius of a circular orbit in a magnetic field
]
ω = v/R = qB/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, currentcarrying 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.
 Fall '06
 YKim
 Physics

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