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Question

Physics Question on Current electricity

In the circuit shown in the given figure, the resistances R1R_1 and R2R_2 are respectively

A

\({14 \,\Omega}) and \({40 \,\Omega})

B

\({40 \,\Omega}) and \({14 \,\Omega})

C

\({40 \,\Omega}) and \({30 \,\Omega})

D

\({14 \,\Omega}) and \({30 \,\Omega})

Answer

14Ω{14 \,\Omega} and 40Ω{40 \,\Omega}

Explanation

Solution

Potential difference across \({ 20 \,\Omega} = 20 \times 1) \(= {20 \, V}) = potential difference across \(R_2) Current in \(R_2 = 0.5 \, A) \(\therefore \:\: R_{2 } = \frac{20 V}{0.5 A} = 40 \Omega) Potential difference across \(R_1 = {69 \, V - 20 \, V} ) \(={49 \, V}) Current in \(R_1 = 0.5 {A + \frac{20}{10} A + \, A = 3.5 \, A}) \(\therefore \:\:\: R_1 = \frac{49}{3.5} = 14 \, \Omega)