What are the different resistances that can be obtained with three 442 resistors?
Question
What are the different resistances that can be obtained with three 442 resistors?
Solution
The different resistances that can be obtained with three 442 ohm resistors are as follows:
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If you connect the resistors in series, the total resistance is the sum of the individual resistances. So, 442 ohm + 442 ohm + 442 ohm = 1326 ohms.
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If you connect the resistors in parallel, the total resistance can be calculated using the formula 1/Rt = 1/R1 + 1/R2 + 1/R3. So, 1/Rt = 1/442 + 1/442 + 1/442. Solving this gives Rt = 147.33 ohms.
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You can also create combinations of series and parallel circuits. For example, you could connect two resistors in series and the third in parallel. In this case, the two in series would give a resistance of 442 ohm + 442 ohm = 884 ohms. If the third resistor is connected in parallel, the total resistance would be 1/Rt = 1/884 + 1/442. Solving this gives Rt = 295.33 ohms.
So, the different resistances that can be obtained with three 442 ohm resistors are 1326 ohms, 147.33 ohms, and 295.33 ohms.
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