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In an electrical circuit, the current passing through a conductor varies inversely with the resistance. Suppose that when the current is 2A (amperes), the resistance is 115ohms. What is the resistance when the current is 5A ?

  • math -

    varies inversely means there is a constant k such that

    ir = k

    we are told that i=2 when r=115:
    2*115 = 230 = k

    so, when i=5,

    5r = 230
    r = 46 ohms

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