Two lamps connected in parallel: Find the equivalent circuit resistance

What is the equivalent circuit resistance for two lamps connected in parallel?

Given data: Two lamps are connected in parallel across a 120-volt source. Each lamp has an internal resistance of 96 ohms.

Equivalent Circuit Resistance Calculation:

Calculating the equivalent circuit resistance for two lamps connected in parallel:

When two lamps are connected in parallel, the total resistance of the circuit can be calculated using the formula:

1/Req = 1/R1 + 1/R2, where Req is the equivalent resistance of the circuit, R1 and R2 are the resistances of the individual lamps.

In this case, each lamp has an internal resistance of 96 ohms. Plugging in the values:

1/Req = 1/96 + 1/96

1/Req = 2/96

1/Req = 1/48

Taking the reciprocal of both sides gives us:

Req = 48 ohms

Therefore, the equivalent circuit resistance for two lamps connected in parallel with an internal resistance of 96 ohms is 48 ohms.
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