Question

The total power consumed by the net work shown in figure a is 16w. find the value of R and the total current​

Answer 1

Answer:

Your answer is given below:-

Explanation:

Power = current × P.D.

16W = current × V

16W = current × 8

16/8 = current

2 A = current

resistors are in parallel , so

1/4 + 1/R = R + 4/4R (L.C.M.)

combination = 4R/R+4

1/2 + 1/8 = 4+1 / 8 (L.C.M.)

=5/8

combination = 8/5

P.D. = current × resistance

8 = 2 × resistance

8/2 = resistance

4ohm= resistance

resistance = 4R/R+4 + 8/5

4 = 4R/R+4 + 8/5

4 - 8/5 = 4R/R+4

20 - 8 /5 = 4R/R+4 (L.C.M.)

12/5 = 4R/R+4

12×R+4 = 4R × 5

12R + 48 = 20 R

48 = 20R - 12R

48 = 8R

48/8 = R

6 = R