a) Two resistances of 4 Ω and 8 Ω are connected in parallel. What would be the combined
resistance of the system?
b) Two identical resistors each of resistance 2 Ohm are connected in turn (1) in series (2) in
parallel to a battery of 12 V. Calculate the ratio of power consumed in two case
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Answer:
a) 2.666666666666666666666666666666666666666666666
b)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
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