Question

the identical resistance each of resistance 2 ohm are connected in terms: a) series (b) in parallel to a battery of 12v. find current.​

Answer 1

(1) IN SERIES

Total Resistance in Series = R₁ + R₂

                                          = 2 + 2

                                          = 4 Ohm

Potential Difference(V) = 12V

Current(I)= V/R

               =12/4

               =3Ampere

Power = VI

           = 12*3

           =36 Watts

(2) IN PARALLEL

 1/R₁ + 1/R₂ = 1/Rₐ (Where Rₐ is the total resistance)

 1/2 + 1/2 = 1/Rₐ                                            

 2/2 =1/Rₐ

 1/1 = 1/Rₐ       

 1 Ohm = Rₐ

Voltage (V)= 12Volts

Current(I)= V/R

               = 12 Ampere

Power= VI

          = 12*12

          = 144 Watt

Power in series : Power in Parallel

36 : 144

1 : 4