Calculating Resistance, Current, and Power in a Series Circuit

What are the resistance, effective resistance, and current in a series circuit?

Answer:

See the answers below.

Calculating Resistance, Current, and Power in a Series Circuit

In a series circuit where two lamps rated 60W; 240V and 100W, 240V respectively are connected to a 240V power source, we need to calculate:

a) The resistance of each lamp:

Using Ohm's law (V = I * R) and the power formula (P = I^2 * R), we can calculate the resistance of each lamp:

Lamp rated 60W: R = 133.66 ohms

Lamp rated 100W: R = 225 ohms

b) The effective resistance of the circuit:

In a series circuit, the total resistance is the sum of individual resistances:

Effective Resistance = 358.67 ohms

c) The current passing through the lamps:

Calculating current using the power formula (P = V * I), we find:

Current = 0.67 ampere