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Suppose in a circuit, several electric lamps are required to be used on an electric supply line. Each lamp is rated at 100 W, and the supply voltage i
Question

Suppose in a circuit, several electric lamps are required to be used on an electric supply line. Each lamp is rated at 100 W, and the supply voltage is 220 V. If the maximum allowable current in the circuit is 11 A, then the number of lamps that can be connected in parallel with each other across the two wires of the line is:

A.

24

B.

110

C.

55

D.

165

Correct option is A

The correct answer is (a) 24

Explanation:

• Each lamp is rated 100 W at 220 V.

• Current drawn by each lamp:

I = P / V = 100 / 220 ≈ 0.45 A

• Maximum allowable current = 11 A

• Maximum number of lamps = Total allowable current / Current per lamp

= 11 / 0.45 ≈ 24.4

• Therefore, 24 lamps can be safely connected in parallel without exceeding the allowed current.

Information Booster:

• In a parallel circuit, voltage remains constant across each lamp.

• The total current in the circuit is the sum of the individual currents of all lamps.

• Overloading occurs when total current exceeds the maximum allowable limit in the circuit.

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