Physics
Calculate the total resistance across AB:
Current Electricity
ICSE 2020
Answer
This circuit consists of two parts. In the first part, the resistances 3 ohm and 6 ohm are connected in parallel. If Rp is the equivalent resistance then
p} = \dfrac{1}{3} + \dfrac{1}{6} \\[0.5em] \dfrac{1}{Rp} = \dfrac{2 + 1}{6} \\[0.5em] \dfrac{1}{Rp} = \dfrac{3}{6} \\[0.5em] \dfrac{1}{Rp} = \dfrac{1}{2} \\[0.5em] \Rightarrow R_p = 2 \space Ω
Therefore, Rp = 2 Ω
In the second part, Rp (i.e., 2 ohm) and 5 ohm are in series. If the equivalent resistance = Rs the we get,
Rs = 2 + 5 = 7 Ω
Hence, equivalent resistance across A and B = 7 Ω
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