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Current Produced by Motional EMF
b
• Motional EMF: E = vBL
• Terminal voltage: Vab = E − Ir
E
• Electric current: E − Ir − IR = 0 ⇒ I =
r+R
~app
• Applied mechanical force: F
B
L
I
~B = I L
~ ×B
~
• Magnetic force: F
Fapp
FB
a
v
~app = −F
~B
• Motion at constant velocity: F
b
• Electrical power generated: Pgen = EI
I
r
• Mechanical power input: Pin = F v = (ILB)v = (vBL)I = EI
R
ε
• Electrical power output: Pout = Vab I = EI − I 2 r
a
tsl247 – p.1/1
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