Question

(e) Calculate the equivalent resistance in circuit
diagram between the points A and B. [2]

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Answer 1

Answer

• Net resistance of the circuit is 4Ω

Explanation

We are given that,

• There are two pairs of series resistors connected together
• These pairs are connected to each other in parallel

We have to find,

• The net resistance?

So here we shal seperately find the resistance of each branches and then find the net resistance

━━━━━━━━━━━━━━━━

Case 1

• R₁ = 4Ω
• R₂ = 8Ω

Net resistance of this series combination will be,

➝ Rₙₑₜ = R₁ + R₂

➝ Rₙₑₜ = 4+8

➝ Rₙₑₜ = 12Ω

Case 2

• R₁ = 1Ω
• R₂ = 5Ω

Net resistance of this series combination will be,

➝ Rₙₑₜ = R₁ + R₂

➝ Rₙₑₜ = 1+5

➝ Rₙₑₜ = 6Ω

★ Net resistance between A & B

• R₁ = 12Ω
• R₂ = 6Ω

Substituting these values in the formula to find resistance for a series combination,

➝ 1/Rₙₑₜ = 1/R₁+ 1/R₂

➝ 1/Rₙₑₜ = 1/12 + 1/6

➝ 1/Rₙₑₜ = 1/12 + 2/12

➝ 1/Rₙₑₜ = 3/12

➝ Rₙₑₜ = 12/3

➝ Rₙₑₜ = 4Ω