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Two resistors with temperature coefficie...

Two resistors with temperature coefficients of resistance `alpha_1` and `alpha_2` have resistances `R_(01)` and `R_(02) ` at `0^@C`. Find the temperature coefficient of the compound resistor consisting of the two resistors connected.
a.. In series and
b. in paralllel

Text Solution

AI Generated Solution

To find the temperature coefficient of the compound resistor consisting of two resistors connected in series and parallel, we will follow these steps: ### Part A: Resistors in Series 1. **Define the resistances and temperature coefficients**: Let the resistances at 0°C be \( R_{01} \) and \( R_{02} \) for the two resistors, and their temperature coefficients be \( \alpha_1 \) and \( \alpha_2 \) respectively. 2. **Calculate the resistance at temperature T**: ...
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Knowledge Check

  • Two resistances at 0^@ C with temperature coefficient of resistance alpha_1 and alpha_2 joined in series act as a single resistance in a circuit. The temperature coefficient of their single resistance will be

    A
    `alpha_1 + alpha_2`
    B
    `(alpha_1 alpha_2)/(alpha_1 +alpha_2)`
    C
    `(alpha_1 - alpha_2)/(2)`
    D
    `(alpha_1 + alpha_2)/(2)`

  • The temperature coefficient of resistance of an alloy used for making resistor is

    A
    small and positive
    B
    small and negative
    C
    large and positive
    D
    large and negative

  • Two equal resistance at 0^(@)C with temperature coefficient of resistance alpha_(1) and alpha_(2) joined in series act as a single resistance in a circuit the temperature coefficient of their single resistance will be

    A
    `alpha_(1)+alpha_(2)`
    B
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    C
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    D
    `(alpha_(1)+alpha_(2))/(2)`

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