Three 10-ohm resistors take the shape of a triangle,one resistor in each leg.An ohm-meter across any two points of the triangle will show the equivalent resistance to be
A)1.4 ohms.
B)5 ohms.
C)6.7 ohms.
D)greater than 6.7 ohms.

Question

Quizplus · Accepted Answer

To find the equivalent resistance, we need to use the formula for resistors in parallel and resistors in series.

First, we can combine two of the resistors in series, which gives us a total resistance of 20 ohms (10 ohms + 10 ohms).

Then, we can combine the remaining resistor in parallel with the 20 ohm equivalent resistance, which gives us a total resistance of approximately 6.7 ohms [(10 ohms x 20 ohms)/(10 ohms + 20 ohms)].

Therefore, the best choice is C, which is 6.7 ohms.

Three 10-Ohm Resistors Take the Shape of a Triangle,one Resistor