Practice question
Question
In a Wheatstone bridge, R_1 = 20 Ω, R_2 = 40 Ω, R_3 = 10 Ω . What should R_4 be for the bridge to be balanced?
Explanation
Given:
In a Wheatstone bridge, R_1 = 20 Ω, R_2 = 40 Ω, R_3 = 10 Ω . What should R_4 be for the bridge to be balanced?
These values define the system as per NCERT data.
Formula:
Balance condition: R_1/R_2 = R_3/R_4.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Substitute: 20/40 = 10/R_4 . Solve: 0.5 = 10/R_4 Rightarrow R_4 = 10/0.5 = 20 Ω .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Discussion
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