Two circular loops of wire, each containing a single turn, have the same radius of 5.1 cm and a common center. The planes of the loops are p

Question

Two circular loops of wire, each containing a single turn, have the same radius of 5.1 cm and a common center. The planes of the loops are perpendicular. Each carries a current of 1.5 A. What is the magnitude of the net magnetic field at the common center

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Ngọc Hoa 2 weeks 2021-08-29T18:45:40+00:00 1 Answers 0 views 0

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    2021-08-29T18:47:32+00:00

    Answer:

    2.6135\times10^-^5 T

    Explanation:

    Using the equation and Pythagorean theorem, we find that magnitude of the net magnetic field at the center of the two loops is expressed as:

    B_n=\sqrt{(\frac{N\mu_0I}{2R})^2+(\frac{N\mu_0I}{2R})^2}\\=\sqrt{2}(\frac{\N\mu_0I}{2R})\\=\frac{\sqrt{2}(1)(4\pi \times 10^-^7/T.m/A)(1.5A)}{2.0(0.040m)}\\=2.6135\times10^-^5 T

    Hence, the net magnitude at the common center is 2.6135\times10^-^5 T

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