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A 9.00-cm-long wire is pulled along a U-shaped conducting rail in a perpendicular magnetic field. The total resistance of the wire and rail
Question
A 9.00-cm-long wire is pulled along a U-shaped conducting rail in a perpendicular magnetic field. The total resistance of the wire and rail is 0.320 Ω . Pulling the wire at a steady speed of 4.00 m/s causes 4.30 W of power to be dissipated in the circuit.
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Physics
3 years
2021-08-09T15:34:13+00:00
2021-08-09T15:34:13+00:00 1 Answers
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Answers ( )
Answer:
0.45 N
Explanation:
Let Recall that,
The power formula is:
P = E²/R
Let A = the magnetic field
Let L = length of wire = 9.00cm = 0.09 m
let R = resistance of wire = 0.320 Ω
let v = velocity of the wire = 4 m/s
Let E = across the wire voltage
Let P = the power of the wire = 4.3 W
To Solve for E:
The formula of E = √PR
The Voltage from a magnetic field is given as,
E = vAL
We therefore Use E = E
√PR = vAL
to solve for A,
A= √PR/vL
BA= √4.3(0.32)/(4)(.09) -=0.173
A = 0.173 wA/m²
Let F be the pulling force
Let I be the current in the wire
P = I²R
I = √P/R
F = IAL
F = √P/RAL
F = √4.3/.32(0.173)(.09)
F = 0.45N