Question

calculate Equivalent Resistance.
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Answer 1

Answer

Firstly, rearrange the circuit

Using the figure as a reference, the red coloured part of circuit is connected in series, as we know,

» The combined resistance of any number of resistance connected in series is equal to the sum of the individual resistances. i.e.,

R = R₁ + R₂

By substituting the values in the formula,

➛ R = R₁ + R₂

➛ R = 4 + 4

➛ R = 8 ohms.

Now, R₁₂ and R₃ are connected in parallel combination,

» The reciprocal of the combined resistance of a number of resistance connected in parallel is equal to the sum of the reciprocal of all the individual resistances. .i.e.,

1/R = 1/R₁ + 1/R₂

By substituting the values in the formula,

➛ 1/R₁₂₃ = 1/R₁₂ + 1/R₃

➛ 1/R₁₂₃ = 1/8 + 1/4

➛ 1/R₁₂₃ = 1+2/8

➛ 1/R₁₂₃ = 3/8

➛ R₁₂₃ = 8/3

➛ 1/R₁₂₃ = 2.6 ohms.

Finally, all three resistors are connected in series so,

➛ R = R₄ + R₁₂₃ + R₅

➛ R = 4 + 2.6 + 4

➛ R = 10.6 ohms.

Hence, equivalent Resistance of the circuit is 10.6 ohms.