A toroid core has N = 1200 turns, length L = 80cm, cross-sectional area A = 60cm2
,
current I = 1.5A. Compute B and H. Assume an empty core.
Answer
Magnetic field due to toroid
B=μ0Ni2πr=2∗10−7∗1.50.044=68.64∗10−7TB=\frac{\mu_0Ni}{2\pi r}\\=\frac{2*10^{-7}*1.5}{0.044}\\=68.64*10^{-7}TB=2πrμ0Ni=0.0442∗10−7∗1.5=68.64∗10−7T
Now H
H=Bμ0=68.64∗10−74∗3.14∗10−7=5.47TH=\frac{B}{\mu_0}\\=\frac{68.64*10^{-7}}{4*3.14*10^{-7}}\\=5.47TH=μ0B=4∗3.14∗10−768.64∗10−7=5.47T
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