In a circuit, two resistors R₁ and R₂ are connected in parallel. If R₁ = 4 Ω and R₂ = 12 Ω, and the total voltage across the parallel combination is 6V, what is the total current flowing in the circuit?
2 A
For resistors in parallel, 1/R = 1/R1 + 1/R2.
1/R = 1/4 + 1/12 = 3/12 + 1/12 = 4/12, so R = 3 Ω.
By Ohm's law the total current is I = V/R = 6/3 = 2 A.
Hence, the answer is 2 A.
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- Which of the following statements is/are true for a domestic circuit?
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(ii) The live wire in the domestic circuit has green insulation on it.
(iii) A fuse connected to the circuit allows excessive current to pass through the appliances.
(iv) The neutral wire in the domestic circuits has black insulation on it. A science teacher asks students to measure the current through a bulb using an ammeter. What precaution must the students follow?
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