What is the total resistance of three 300 Ohm resistors wired in parallel?

To find the total resistance of resistors wired in parallel, you can use the formula:

[ \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}

]

In the case of three resistors, each with a resistance of 300 Ohms, the formula becomes:

[ \frac{1}{R_{total}} = \frac{1}{300} + \frac{1}{300} + \frac{1}{300} ]

This is equivalent to:

[ \frac{1}{R_{total}} = \frac{3}{300} = \frac{1}{100} ]

By taking the reciprocal of both sides, you get:

[ R_{total} = 100 \text{ Ohms} ]

Thus, the total resistance of three 300 Ohm resistors wired in parallel is 100 Ohms. This result makes sense because when resistors are connected in parallel, the overall resistance decreases, and is always less than the smallest resistor in the configuration.