Question

two identical resistors each of resistance 10 ohm are connected in series and parallel the line 2 battery of 6 volt calculate the ratio of power consumed in the combination of resistor in the two cases

Answer 1

Q.Two identical resistors each of resistance 10 ohm are connected 1) in series 2) in parallel, in line to a battery of 6 volts. Calculate the ratio of power consumed in the combination of resistors in the two case

Ans. 1) in series

10 + 10 = 20Ω

For the Current

I=V/R

 =6/20

 =.3Amp

For Power

P1=V(I)

  =6×.3

 = 1.8W

2) in parallel

1/R=1/R+1/R

 =1/10+1/10

R  =5Ω

For current

I=V/R

 =6/5

 =1.2A

For Power

P2=V×I

 =6×1.2

 =7.2W

Therefore, their ratio is,

P1/P2=1.8/7.2

=.25W