A rod of magnetic material, 0.5 m in length has a coil of 200 turns wound over it uniformly. If a current of 2 ampere Is sent through it, calculate (a) the magnetic field H, (b) the Intensity of magnetization M, (c) the magnetic induction B and (d) the relative permeability μr of the material. Give x,,, = 6 X 10-n
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The answer is B=25.12T.
Explanation:
Given that,
Relative permeability, μr=4000
Carried current, I=5A
Number of turns, n=1000
Therefore,
The magnetic intensity,
H=nI
H=1000×5
H=5000Am−1
Now, the magnetic field inside the solenoid is
B=μH…. (I)
We know that,
μ=μ0μr
μ=4π×10−7×4000
Now put the value of μ in equation (I)
B=μH
B=4π×10−7×4000×5000
B=2×4π
B=8×3.14
B=25.12T
Hence the magnetic field inside the solenoid is B=25.12T.
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