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To achieve the least equivalent resistance using three equivalent resistors, they should be connected in parallel. In a parallel configuration, the total or equivalent resistance is calculated using the formula ( R_{\text{eq}} = \frac{1}{\frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}} ). This arrangement reduces the overall resistance because the current has multiple paths to flow through, effectively decreasing the resistance compared to any series connection.

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4mo ago

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What is the number of equal parts into which a conductor having a resistance 100ohm should be cut to obtain the resistance 1ohm if the parts are connected in parallels?

To obtain a total resistance of 1 ohm from a conductor with a resistance of 100 ohms when the parts are connected in parallel, you need to cut the conductor into 100 equal parts. Each part will then have a resistance of 1 ohm. When 100 of these 1-ohm resistors are connected in parallel, the total resistance is calculated using the formula ( R_{total} = \frac{R}{n} ), where ( n ) is the number of resistors, resulting in ( R_{total} = \frac{1, \text{ohm}}{100} ) = 1 ohm.


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