A 5 ohms resistor is connected in parallel with the series assemvly of 2 ohms and 3 ohms resistors. The voltage drop across the 2 ohms resistor is 6V. What is the current through the 5 ohms resistor?

2 answers

2Ω in series with 3Ω is equivalent to 5Ω

so the two parallel branches have the same resistance and current

current = voltage / resistance
Given:
R1 = 2 ohms, V1 = 6 volts.
R2 = 3 ohms.
R3 = 5 ohms.

I1 = I2 = V1/R1 = 6/2 = 3A.
I3 = 3A also, because each branch = 5 ohms.