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16 March, 14:19

For an Ohmic conductor, tripling the voltage without changing the resistance will cause the current to A. decrease by a factor of 3. B. increase by a factor of 3. C. increase by a factor of 9. D. decrease by a factor of 9.

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  1. 16 March, 15:20
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    B. increase by a factor of 3.

    Step-by-step explanation:

    According to ohms law:

    V ∝ R

    Vo = IoR

    R = Vo/Io ... (1)

    Vo is the initial potential difference/voltage

    Io is the initial current across the resistor

    R is the resistance

    If for an Ohmic conductor, we triple the voltage without changing the resistance:

    New voltage V1 = 3Vo

    New voltage V1 = I1R (resistance doesn't change)

    I1 is the current after the voltage has tripled

    3Vo = I1R

    R = 3Vo/I1 ... (2)

    Equating both resistances in 1 and 2 since resistance doesn't change we have:

    Vo/Io = 3Vo/I1

    1/Io = 3/I1

    I1/Io = 3

    New current I1 = 3Io

    This shows that tripling the voltage increases the current by factor of 3
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