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10 November, 14:51

Choose true or false for each statement regarding the resistance of a wire.

1. The resistivity depends on the temperature of most metal wires.

2. While maintaining a constant voltage V, the current I increases when the length L of a wire decreases.

3. While maintaining a constant voltage V, the current I increases when the resistivity rho of a wire increases.

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Answers (1)
  1. 10 November, 17:51
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    1. True

    2. True

    3. False

    Explanation:

    According to Ohm's law, V = IR where V is the voltage, I is the current and R is the resistance. So if V is constant, R is inversely proportional to I

    1. The resistivity of metal wires would depend on the temperature, this is true.

    2. When length L of a wire decreases, the resistance R decreases as well, this would make I increase.

    3. When the resistivity increases, resistance R increases as well, this would make I decrease.
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