Three resistors,with values of 2.0,4.0 and 8.0 W,respectively,are connected in parallel.What is the overall resistance of this combination?
A)0.58 W
B)1.1 W
C)7.0 W
D)14.0 W

Question

Quizplus · Accepted Answer

When resistors are connected in parallel, the overall resistance can be found using the formula:

1/RT = 1/R1 + 1/R2 + 1/R3 + ...

where RT is the total resistance and R1, R2, R3, etc. are the individual resistances.

In this case, we have three resistors in parallel with values of 2.0, 4.0, and 8.0 W. So we can plug these values into the formula:

1/RT = 1/2.0 + 1/4.0 + 1/8.0

Simplifying the fractions and adding them together, we get:

1/RT = 0.5 + 0.25 + 0.125
1/RT = 0.875

Now we can solve for RT:

RT = 1/0.875
RT = 1.14 W (rounded to two significant figures)

Therefore, the best choice is B) 1.1 W, which is the closest answer to the calculated value of 1.14 W.

Three Resistors,with Values of 2