A 15-Ω coffee maker and a 14-Ω frying pan are connected in series across a 120-V source of voltage. A 23-Ω bread maker is also connected ...?
A 15-Ω coffee maker and a 14-Ω frying pan are connected in series across a 120-V source of voltage. A 23-Ω bread maker is also connected across the 120-V source and is in parallel with the series combination. Find the total current supplied by the source of voltage.
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Calculate the resistance of the series combination:
Rtotal = R1 + R2
= 15 + 14
= 29
Calculate the resistance of the parallel combination:
1/Rtotal = 1/R1 + 1/R2
1/Rtotal = 1/23 + 1/29
Rtotal = 12.83
I = V/R
= 120/12.83
= 9.35 A
Total resistance is (14+15) in parallel with 23 ohms, ie 29 in parallel with 23 ohms.
1/R = 1/29 + 1/23
R = 12.8 ohms
Current = volts/resistance = 120/12.8 = 9.36 amps