Moving Conductor in Magnetic Field
Example 6.8: Rectangular Conductor Moving Through Magnetic Field
System Description
A conductor arm PQ moves outward from x=0 to x=2b and back with speed v. The uniform magnetic field (B) exists from x=0 to x=b. Only arm PQ has resistance r.
Magnetic Flux (Φ)
Induced EMF (ε)
Required Force (F)
Joule Heating (P)
Current Position (x):
0.00 m
Magnetic Flux (ΦB):
0.00 Wb
Induced EMF (ε):
0.00 V
Required Force (F):
0.00 N
Joule Heating (PJ):
0.00 W
Key Formulas
ΦB = B l x (0 ≤ x < b), ΦB = B l b (b ≤ x ≤ 2b)
ε = -dΦB/dt = -B l v (0 ≤ x < b), ε = 0 (b ≤ x ≤ 2b)
F = I l B = B² l² v / r (0 ≤ x < b), F = 0 (b ≤ x ≤ 2b)
PJ = I² r = B² l² v² / r (0 ≤ x < b), PJ = 0 (b ≤ x ≤ 2b)
