Two conductors with a resistance of 5 ohms and 10 ohms are connected in parallel to the battery.
Two conductors with a resistance of 5 ohms and 10 ohms are connected in parallel to the battery. The current strength in which of them is greater and how many times? Find the total resistance of the circuit.
When the conductors are connected in parallel, the voltage at their terminals will be the same.
U1 = U2 = U.
Determine the strength of the current passing through the section of the circuit with a resistance of 5 ohms.
I1 = U / R1 = U / 5 A.
Determine the strength of the current passing through the section of the circuit with a resistance of 10 ohms.
I2 = U / R2 = U / 10 A.
Then I1 / I2 = (U / 5) / (U / 10) = 2.
Determine the total resistance of the circuit.
Since the conductors are connected in parallel, then R = R1 * R2 / (R1 + R2) = 5 * 10/15 = 10/3 = 3 (1/3) ohms.
Answer: On the first conductor, the force is 2 times greater, the resistance of the circuit is 3 (1/3) Ohm.