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21 December, 18:57

What happens to the current in a circuit if the resistance triples? If the voltage triples?

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  1. 21 December, 20:00
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    (Example 1)

    If the Voltage that furnishes the current is an ideal (no internal resistance) Voltage source. Then;

    V/R = i

    V/2R = i/2 If external resistance doubles, current reduced to 1/2 of original value

    V/3R = i/3 If external resistance triples, current reduced to 1/3 of original value

    (Example 2)

    But if the Voltage that furnishes the current is a practical [contains an internal resistance (Ri) ] Voltage source. Then the current is a function of the Voltage source's internal resistance, which does not double nor triple, plus the external resistance which is being doubled and tripled.

    V / (R + Ri) = i

    V / (2R + Ri) = greater than i/2 but less than I.

    V / (3R + Ri) = greater than i/3 but less than i/2
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