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
Solenoid
Magnetic field
B=μ0ni2xB=\frac{\mu_0 ni}{2x}B=2xμ0ni
ϕA=4×3.14×200×i2×0.070\frac{\phi}{A}=\frac{4\times3.14\times200\times i}{2\times0.070}Aϕ=2×0.0704×3.14×200×i
5×10−43.5×10−5=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}3.5×10−55×10−4=2×0.0704×3.14×200×i
I=7.96×10−4AI=7.96\times10^{-4}AI=7.96×10−4A
B=μ0nI2rB=\frac{\mu_0n I}{2r}B=2rμ0nI
Magnetic flux
ϕ=BA\phi=BAϕ=BA
ϕ=5×10−4Wb\phi=5\times10^{-4}Wbϕ=5×10−4Wb
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