two identical resistors each of resistance 10 ohm are connected in series and parallel to a 6 volt battery calculate the ratio of power consumed in the combination of resistors in two cases and also draw the circuit diagram of the two cases
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The ratio the power consumed by the resistors in series upon the resistors in parallel = 1/4
Case 1 - The resistors are connected in series to a 6 V battery.
Equivalent resistance = R' = R1 + R2
R' = 10 + 10 = 20 ohm
Power consumed by the resistors in series combination = V²/R'
= 36/20
= 1.8 Watt
Case 2 - The resistors are connected in parallel to a 6 V battery.
Equivalent resistance = R'
=> 1/R' = 1/R1 + 1/R2
=> R' = 5 ohm
Power consumed by the the resistors in parallel combination = V²/R'
= 36/5
= 7.2 Watt
Ratio = power consumed in series combination / power consumed in parallel combination
= 1.8 / 7.2
= 1/4
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