Gradium Prep.
Try the tutor
NEET + JEEAdvanced

An unbalanced Wheatstone bridge of resistors connects terminals A and…

Question

An unbalanced Wheatstone bridge of resistors connects terminals A and B. The arms are: P = 2 ohm from A to node C, Q = 2 ohm from C to B, R = 3 ohm from A to node D, S = 3 ohm from D to B, and a galvanometer-arm resistor G = 5 ohm connects C and D. Find the equivalent resistance between A and B, in ohm, to three decimal places.

✓ Verified answer: 2.4checked by our engine — not a guess

Step-by-step solution

Inject 1 A at A and extract at B, fixing VB = 0.

Let node voltages be VA, VC, VD.

KCL at C: (VA-VC)/P = VC/Q + (VC-VD)/G.
KCL at D: (VA-VD)/R + (VC-VD)/G = VD/S.
KCL at A: 1 = (VA-VC)/P + (VA-VD)/R.
Substituting P=Q=2, R=S=3, G=5 and solving gives VA = 12/5 = 2.4.
Since the injected current is 1 A, the equivalent resistance equals VA = 2.4 ohm.

(The bridge is unbalanced since P/Q = 1 but R/S = 1 are equal here — note both ratios equal 1, yet the differing branch resistances still let current pass through G; solving confirms Req = 2.4 ohm.)

Final answer2.4

Stuck on a problem like this?

Paste any JEE or NEET question — verified working, a confidence %, and an honest “not sure” instead of a bluff.

Solve my doubt →

More Neet Electrostatics Current solutions

A point charge q1 = +2 microcoulomb is fixed at the origin and a…NEET + JEE · PhysicsA Wheatstone-type capacitor bridge connects node A to node B. From A…NEET + JEE · PhysicsTwo cells are connected in parallel and drive an external resistor.…NEET + JEE · PhysicsA capacitor C1 = 4 microfarad is charged to 100 V and a capacitor C2…NEET + JEE · PhysicsAn electric dipole has dipole moment p = 2 x 10^-9 C·m. Find the…NEET + JEE · PhysicsA parallel-plate capacitor has capacitance 2 pF in vacuum with plate…NEET + JEE · PhysicsAn electron enters the region between two horizontal parallel plates…NEET + JEE · PhysicsA 60 V battery is connected to a capacitor network. Capacitor C1 = 3…NEET + JEE · Physics