The resistance of the lamp is 200 ohms, the resistor is 100 ohms. Their connection is parallel and connected
The resistance of the lamp is 200 ohms, the resistor is 100 ohms. Their connection is parallel and connected to a network with a voltage of 220 V. find the current in the circuit.
According to Ohm’s law, the amount of current is directly proportional to the applied voltage and inversely proportional to its resistance:
I = U / R
If there are several resistances in the circuit, I = U / Req.
Equivalent resistance in parallel connection:
1 / Req = (1 / R1) + (1 / R2)
Let’s bring to a common denominator:
1 / Req = (R1 + R2) / (R1 * R2)
Let us express the total resistance:
Req = (R1 * R2) / * (R1 + R2)
Let’s substitute this expression into Ohm’s law:
I = U / Req = U / ((R1 * R2) / * (R1 + R2)) = U * (R1 + R2) / ((R1 * R2) = 220 * (200 + 100) / (200 * 100 ) = 3.3 A.
Answer: the current in the circuit is 3.3 A.