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pshichka [43]
3 years ago
9

In an electric circuit, two resistors with resistances x and y are connected in parallel. In this case, if r is the combined res

istance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. What is r in terms of x and y?(A) xy(B) x + y(C) 1/(x + y)(D) xy/(x + y)(E) (x + y)/xy
Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

Answer:

(D) xy/(x + y)

Step-by-step explanation:

To find r in terms of x and y

Given,

  • two resistors with resistances x and y are connected in parallel
  • r is the combined resistance of these two resistors
  • the reciprocal of r is equal to the sum of the reciprocals of x and y

Then,

1/r = 1/x + 1/y

1/r = (y + x)/xy

Find the reciprocal of both sides

r = xy/(x + y)

The right answer is option (D)  xy/(x + y)

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