Why do resistors placed in parallel allow a total current that is the sum of the...

Why do resistors placed in parallel allow a total current that is the sum of the currents that would occur for the individual resistors placed one by one in the same circuit? Explain in terms of Ohm's Law

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Expert Solution

Ans..Ohm's Law necessarily means that current produced in a resistor depends only on Potential across it and its own resistance value. And also that current value across resistance does not change if potential difference across it doesn't change due to presence of any other element in the resistor since it current depends on potential difference only.

In case 1, potential across A-B is . And resistance with value is put between them . Lets say current was found to be .

In case 2, potential across A-B is . And resistance with value is put between them . Lets say current was found to be .

In case 3, potential difference between A-B is . Which implies potential difference across both and is . So,current is not affected if other resistance are joined in parallel without altering potential difference.

genius_generous answered 1 year ago

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