How to Calculate Resistance of a Lamp in a Parallel Circuit?

What is the resistance of one lamp if three identical lamps are connected in parallel with a combined resistance of 150 ohms?

Answer:

The resistance of one lamp in this scenario is 50 ohms.

When three identical lamps are connected in parallel, the combined resistance can be calculated using the formula:

1/Rt = 1/R + 1/R + 1/R

Given that the equivalent resistance (Rt) is 150 ohms, we can substitute the values and solve for the resistance of one lamp (R).

By simplifying the equation, we get:

1/150 = 1/R + 1/R + 1/R

1/150 = 3/R

R = 50 ohms

Therefore, the resistance of one lamp in this parallel circuit setup is 50 ohms.