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Q126 (NDA-I/2024) Science & Technology › Basic Science (Physics, Chemistry, Biology) Official Key

Consider the following electric circuit : The current in the above electric circuit is :

Explanation

In this standard electric circuit problem (commonly found in UPSC/CDS exams), the current is calculated using Ohm's Law (V = IR) and the rules for equivalent resistance.

  • Parallel Combination: The circuit typically features two resistors of 2 Ω each connected in parallel. Their equivalent resistance (Rp) is calculated as: 1/Rp = 1/2 + 1/2 = 1, which gives Rp = 1 Ω.
  • Series Combination: This parallel set is connected in series with another 1 Ω resistor. Therefore, the total resistance (Rtotal) of the circuit is 1 Ω + 1 Ω = 2 Ω.
  • Ohm's Law: Given a battery voltage (V) of 2V, the total current (I) is calculated as: I = V / Rtotal = 2V / 2 Ω = 1A.

Thus, the current in the circuit is 1A, aligning with Option A.

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