MHT CET · Physics · Current Electricity
The current through \(1 \Omega\) resistance in the following circuit is
- A 0.6 A
- B 1.5 A
- C 0.1 A
- D 0.5 A
Answer & Solution
Correct Answer
(A) 0.6 A
Step-by-step Solution
Detailed explanation
For a balanced Wheatstone bridge ratio of resistors is
\(\frac{R_{P Q}}{R_{P S}}=\frac{R_{Q R}}{R_{S R}}\)
\(\begin{aligned} & \therefore i\left(R_{P Q}+R_{Q R}\right)=(I-i)\left(R_{P S}+R_{S R}\right) \\ & \Rightarrow(5+1) i=(2.1-i)(12.5+2.5) \\ & \Rightarrow \frac{2.1-i}{i}=\frac{15}{6} \\ & \Rightarrow \frac{2.1}{i}=\frac{21}{6} \\ & \Rightarrow i=0.6 \mathrm{~A}\end{aligned}\)
\(\frac{R_{P Q}}{R_{P S}}=\frac{R_{Q R}}{R_{S R}}\)
\(\begin{aligned} & \therefore i\left(R_{P Q}+R_{Q R}\right)=(I-i)\left(R_{P S}+R_{S R}\right) \\ & \Rightarrow(5+1) i=(2.1-i)(12.5+2.5) \\ & \Rightarrow \frac{2.1-i}{i}=\frac{15}{6} \\ & \Rightarrow \frac{2.1}{i}=\frac{21}{6} \\ & \Rightarrow i=0.6 \mathrm{~A}\end{aligned}\)
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