In a circuit with a voltage of 250 V, two lamps were connected in series, designed for the same voltage
| March 8, 2021 | education
In a circuit with a voltage of 250 V, two lamps were connected in series, designed for the same voltage. One lamp is 500W and the other is 25W. Determine the resistance of the circuit.
Given:
U = 250 Volts – voltage in the electrical circuit;
W1 = 500 watts – the power of the first light bulb;
W2 = 25 watts – the power of the second light bulb connected in series with the first.
It is required to determine the resistance of the circuit R.
The resistance of the first light bulb is:
R1 = U ^ 2 / W = 250 ^ 2/500 = 125 ohms.
The resistance of the second light bulb is:
R2 = U ^ 2 / W = 250 ^ 2/25 = 2500 ohms.
Answer: The total resistance of the circuit is 2500 ohms (2.5 kΩ).
The total resistance of the circuit is:
R = R1 + R2 = 125 + 2500 = 2625 Ohm.
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