High School

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A 4.00 \(\Omega\) resistor, an 8.00 \(\Omega\) resistor, and a 24.0 \(\Omega\) resistor are connected together.

(a) What is the maximum resistance that can be produced using all three resistors?

Answer :

To calculate the maximum resistance from the combination of a 4.00-ohm, an 8.00-ohm, and a 24.0-ohm resistor, they need to be connected in series. The total resistance will be the sum of all resistances, which equals to 36.0 ohms.

The student is asking about calculating the maximum resistance that can be achieved by connecting three resistors with values of 4.00 ohms, 8.00 ohms, and 24.0 ohms together. To find the maximum resistance, the resistors should be connected in series.When connecting resistors in series, the equivalent resistance is the sum of all the individual resistances. For the given resistors (4.00-8, 8.00-82, and 24.0-2), their maximum combined resistance is 36.0 ohms. This is obtained by adding their resistances together: 4.00 + 8.00 + 24.0 = 36.0 ohms.

The formula to find the total resistance Rtotal for resistors in series is simply the sum of all individual resistances:

Rtotal = R1 + R2 + R3

Plugging in the values we get:

Rtotal = 4.00 ohms + 8.00 ohms + 24.0 ohms = 36.0 ohms

Therefore, the maximum resistance that can be produced using all three resistors is 36.0 ohms.

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