To a source with an EMF equal to 6V and an internal resistance of 1 ohm, 3 conductors connected in parallel
To a source with an EMF equal to 6V and an internal resistance of 1 ohm, 3 conductors connected in parallel are connected, and each with a resistance of 9 ohms. Find the amperage in the circuit.
Given:
U = 6 Volts – EMF of the power source;
r = 1 Ohm – internal resistance of the power supply;
R1 = R2 = R3 = 9 Ohm – resistances of the conductors connected to the power supply.
It is required to determine I (Ampere) – the current in the circuit.
Since, according to the condition of the problem, the conductors are connected in parallel, we find the total resistance of the conductors:
1 / R = 1 / R1 + 1 / R2 + 1 / R3;
1 / R = 1/9 + 1/9 + 1/9;
1 / R = 3/9 = 1/3;
R = 3 ohms.
Then the current strength will be equal to:
I = U / (r + R) = 6 / (1 + 3) = 6/4 = 1.5 Amperes.
Answer: the current in the circuit will be equal to 1.5 Amperes.