The unit of current, the ampere, is defined in terms of the force between currents. Two 1.0-meter-long sections of very long wires a distanc

Question

The unit of current, the ampere, is defined in terms of the force between currents. Two 1.0-meter-long sections of very long wires a distance 1.5 m apart each carry a current of 1.0 A.

Required:
What is the force between them

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Phúc Điền 4 years 2021-08-16T01:26:38+00:00 1 Answers 13 views 0

Answers ( )

  1. Neala
    0
    2021-08-16T01:28:13+00:00
    Reply

    Answer:

    1.33\times 10^{-8} N

    Explanation:

    According to the given scenario, the computation of force between them is shown below:-

    As we know that

    \mu = 4\pi\times 10^{-7}

    The force between two current carrying wires will be

    F = \frac{\mu_oI_1I_2L}{2\pi r}

    = \frac{4\pi\times 10^{-7} (1 A) (1 A) (1.0 m)}{2\pi (1.5m)}

    = 1.33\times 10^{-7} N

    = 1.33\times 10^{-8} N

    Therefore for computing the force between two wires we simply applied the above formula.

    So, the force between two wires carrying 1 A current = 1.33\times 10^{-8} N.

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