Question #318148

the search coil has 200 turns and a cross sectional area of 3.5 x 10-5 m2. the search coil is placed at x = 0.070 m. show that the magnetic flux linkage through the search coil is about 5x 10-4Wb


1
Expert's answer
2022-03-28T14:25:47-0400

Solenoid

Magnetic field

B=μ0ni2xB=\frac{\mu_0 ni}{2x}

ϕA=4×3.14×200×i2×0.070\frac{\phi}{A}=\frac{4\times3.14\times200\times i}{2\times0.070}

5×1043.5×105=4×3.14×200×i2×0.070\frac{5\times10^{-4}}{3.5\times10^{-5}}=\frac{4\times3.14\times200\times i}{2\times0.070}

I=7.96×104AI=7.96\times10^{-4}A

B=μ0nI2rB=\frac{\mu_0n I}{2r}


B=4×3.14×107×200×7.96×1042×0.070=1.42×106TB=\frac{4\times3.14\times10^{-7}\times200\times7.96\times10^{-4}}{2\times0.070}=1.42\times10^{-6}T

Magnetic flux

ϕ=BA\phi=BA

ϕ=5×104Wb\phi=5\times10^{-4}Wb


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