Question
Physics Question on Current electricity
In the circuit shown in the given figure, the resistances R1 and R2 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 and 40Ω
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)