3. A 15.0 ohm resistor is connected in series to a 120 V generator and two 10.0 ohm resistors that are connected in parallel to each other.

b) What is the current through the 15.0 ohm resistor?
c) What is the current through one of the 10.0 ohm resistors?

b- I did 120 V/15.0 ohms to get 8 amps, but the answer sheet says the answer is 6 amps. What am I doing wrong?

c- The answer sheet says it is 3 amps, but I don't know how to get there.

1 answer

b. you did not find resistance total. Circuit current is determined by total resistance. The equivalent resistance of the two then ohm resisters in parallel is five ohm, and it is in series with the 15 ohm.
Current= 120/20= six ampls

c. on the parallel path, because the resistors are identical, current of six amps splits evenly, so three amps through each side.
Another way: total current is six ampls going through an equivalent five ohm resistor, so the voltage drop is 30 volts. Now, each 10 ohm resistor has 30 volts across it, current=30/10=3amps