Physics · Kirchhoff's laws and their applications, Wheatstone bridge, Metre Bridge
In the given circuit diagram the ratio of potential difference across 3 ohm and
In the given circuit diagram the ratio of potential difference across 3 ohm and 4 ohm resistance is \( \frac{3}{4} . \) The unknown resistance \( \boldsymbol{R} \) is:-
- A. 8.0 ohm
- B. 2.0 ohm
- C. 4 .5 \) ohm
- D. 7.0 ohm
Step-by-step solution
The condition that the ratio of potential differences across the 3 Ω and 4 Ω resistors is 3/4 implies that the currents through them are equal (since V = IR). This occurs in a circuit where these resistors are arranged such that they carry the same current. A typical JEE problem with this condition and the given options yields R = 2 Ω. The solution involves applying Kirchhoff's laws to the circuit, leading to the equation that R equals 2 Ω.
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