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2 September, 19:49

A series circuit has three resistors of 4 ohms each. The voltage drop across each resistor is 4 volts. Technician A says that the source voltage is 12 volts. Technician B says that the total resistance is 18 ohms. Which technician is correct?

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  1. 2 September, 20:11
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    Technician A

    Explanation:

    In the series connection the total resistance is equal to the sum of the individual resistance of the resistors.

    Therefore,

    For the given case total resistance will be, R = 4 + 4 + 4 = 12 Ω

    Hence,

    Technician B is wrong.

    Also,

    Total voltage in series circuit is given as

    V = V₁ + V₂ + V₃ [i. e sum of the voltage across respective resistors]

    or

    V = 4 + 4 + 4 = 12V

    Hence,

    Technician A is correct.
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