What is the total resistance of a parallel circuit that has three loads? load one has a resistance of 6 ohms. load two has a resistance of 3 ohms. load three has a resistance of 12 ohms. (you must show your work)! 3r 2

The total resistance of these three resistors connected in parallel is

Step-by-step explanation:

The attached image has the circuit for finding the total resistance. The circuit is composed by a voltage source and three resistors connected in parallel: , and .

First step: to find the source current

The current that the source provides is the sum of the current that each resistor consumes. Keep in mind that the voltage is the same for the three resistors (, and ).

The total current is:

The total resistance () is the source voltage divided by the source current:

Now, replace by the previous expression and the total resistance would be:

Simplify the expression and you must get:

The last step is to replace the values of the resistors:

Thus, the total resistance of these three resistors connected in parallel is

75

step-by-step explanation:

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step-by-step explanation:

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