Question

When two resistors are connected in series their effective resistance is 60 ohm and when they are connected in parallel their effective resistance is 15 ohm what are the value of two resistance

Answer 1

Answer:

30 ohm

Explanation:

r1+r2=60

r1r2/r1+r2 =15

r1+r2=60

r1r2=15×60=900

r1+r2=60 ---1

r1r2=900---2

r2=900/r1

900/r1 +r1=60

r1²+900=60r1

r1²-60r1+900=0

r1²-30r1-30r1+900=0

r1(r1-30)-30(r1-30)=0

r1=30

r2=60-r1=30