Question

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Answer 1

Answer :

Circuit containing four identical resistors is provided.

We have to find current flow in the circuit$.$

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◈ First of all, we need to find equivalent resistance of the circuit.

Let's solve it step by step.

1. Two resistors of 30Ω (ED and AC) are connected in parallel.

➝ 1/R = 1/30 + 1/30

➝ 1/R = 2/30

➝ R = 15Ω

2. Two resistors of 15Ω (BC) and R are connected in series.

➝ R' = 15 + R

➝ R' = 15 + 15

➝ R' = 30Ω

3. Two resistors of 15Ω and R' are connected in parallel.

➝ 1/Req = 1/15 + 1/R'

➝ 1/Req = 1/15 + 1/30

➝ 1/Req = 3/30

➝ Req = 10Ω

❅ As per ohm's law, current passing through a conductor is directly proportional to the applied potential difference. V ∝ I

⇒ V = I × Req

⇒ 3 = I × 10

⇒ I = 0.3 A ❂