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(a) Two lamps rated 100 W, 220 V and 10 W, 220 V are connected in parallel to a 220 V supply. Calculate the total current through the circuit.

Answer :

Final answer:

Ohm's Law is used to calculate the total current in a parallel circuit. By calculating the current for each lamp and then adding them together, we find that the total current in the circuit is 0.5 amperes.

Explanation:

The calculation of total current in a parallel circuit relies on Ohm's Law, which states that the current (I) in a circuit equals the power (P) divided by the voltage (V), or I=P/V.

The total current flowing through the circuit with the two lamps connected in parallel would be the sum of the currents flowing through each lamp. Therefore, we can calculate the current for each lamp first:

  1. For the 100-watt lamp: I=P/V = 100W/220V = 0.455A
  2. For the 10-watt lamp: I=P/V = 10W/220V = 0.045A

By adding the two currents together, we can get the total current of the circuit: 0.455A + 0.045A = 0.5 A

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