Published by:
CGP EDU Academic Team
Published on: September 13, 2026
Two known resistances of 
and 
and one unknown resistance 
are connected in a circuit as shown in the figure. If the equivalent resistance between points 
and 
in the circuit is 
, then the value of 
is 
.
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
The circuit has 2 R and X in series (top branch) parallel to R (bottom branch).
The equivalent resistance is 
.
Setting up the equation: 
, which simplifies to 
.
Using the quadratic formula: 
.
Since resistance must be positive, 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
Consider four conducting materials copper, tungsten, mercury and aluminium with resistivity and r…
Model a torch battery of length l to be made up of a thin cylindrical bar of radius 'a' and a conce…
Two resistors and are connected in series across a 6 V battery. The potential difference measured…
In the circuit, given in the figure currents in different branches and value of one resistor are sh…
A circuit to verify Ohm's law uses ammeter and voltmeter in series or parallel connected correctly …
In the figure shown, the current in the battery is close to