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A student has four resistors. Each resistor has a resistance of 100 ohms.

Explain how the resistors should be connected so that the total resistance is as low as possible.

Respuesta :

Answer:

The minimum resistance is 25 ohms.

Explanation:

Resistance of each resistor is 100 ohms. When resistors are connected in parallel, the equivalent resistance is lowest. For parallel combination, the equivalent resistance is given by :

[tex]\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+....[/tex]

Here, all resistors are 100 ohms. So,

[tex]\dfrac{1}{R}=\dfrac{1}{100}+\dfrac{1}{100}+\dfrac{1}{100}+\dfrac{1}{100}\\\\R=25\ \Omega[/tex]

So, the minimum resistance is 25 ohms.

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