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12 June, 18:39

A 7.1 resistor and a 4.8 resistor are connected in series with a battery. the potential difference across the 4.8 resistor is measured as 12 v. find the potential difference across the battery. v

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  1. 12 June, 18:58
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    For resistors in series in a DC circuit, the potential difference is proportional to the resistance.

    The voltage V across the 7.1 ohm resistor can be found from the proportion

    V/7.1 = 12/4.8

    V = 7.1*12/4.8 = 17.75

    The potential difference at the battery terminals is the sum of the potential differences across the two series resistors.

    Vbatt = 17.75 V + 12 V

    Vbatt = 29.75 V
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