Determine the magnetic field at the center of the semicircular piece of wire with radius 0.20 m. The current carried by the semicircular piece of wire is 150 A.
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Answer:
2.4×10-4 T
Explanation:
The radius of the semicircular piece of wire = 0.20 m
Current carried by the semicircular piece of wire = 150 A
Magnetic field is given as: B=μ0NI2a
The differential form of Biot-Savart law is given as: dB=μ0I4πdIsinθr2 B=μ04πI∫dI×r^r2 =μ04πIr2∫dI =μ04πIr2πr =μ0I4r =4π×10−7T.m/A(150A)4(0.20m)
=2.4×10-4 T
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