8 Ω resistor is in series with parallel combination of two resistors 12 Ω and 6 Ω if the current in 6Ω is 5 ampere determine the total power dissipated in the circuit.
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parallel resistance combination formula :
1/Rp = 1/R1 + 1/R2 + 1/R3
1/Rp = 1/12 + 1/6
1/Rp = 1/12 + 2/12
1/Rp = 3/12
Rp = 4ohm
resistance in series formula:
Rs = R1 + R2 +R3
Rs = 8ohm + Rp
Rs = 8 + 4
Rs = 12ohm
total resistance is 12 ohm.
so, here current in 6ohm resister is 5 amp
let total current be x
then,
(6/12)x = 5amp
6x/12 =5amp
x/2 = 5amp
x = 10amp
from ohm's law,
V = IR
V = 10 × 12
V = 120V
power formula,
P = V × I
120 × 10
P = 1200Watts
Hope, this helps
Explanation:
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