A straight wire in a magnetic field experiences a force of 0.017 N when the current in the wire is 1.1 A. The current in the wire is changed

Question

A straight wire in a magnetic field experiences a force of 0.017 N when the current in the wire is 1.1 A. The current in the wire is changed, and the wire experiences a force of 0.077 N as a result. What is the new current

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Mít Mít 4 years 2021-07-27T02:12:11+00:00 1 Answers 12 views 0

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  1. thuhuong
    0
    2021-07-27T02:13:41+00:00
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    Answer:

    The new current in the straight wire is 4.98 A

    Explanation:

    Given;

    initial magnetic force on the wire, F₁ = 0.017 N

    initial current flowing on the straight wire, I₁ = 1.1 A

    When the current in the wire is changed,

    new magnetic force on the wire, F₂ =  0.077 N

    the new current in the wire, I₂ = ?

    Applying equation of magnetic force on conductor;

    F₁ = I₁BLsinθ

    F₂ = I₂BLsinθ

    BLsinθ  = F₁/I₁ = F₂/I₂

    I₂ = (F₂I₁)/F₁

    I₂ = (0.077 x 1.1) / 0.017

    I₂ = 4.98 A

    Therefore, the new current in the straight wire is 4.98 A

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