NEET · Physics —

Current Electricity appeared 4 times across 1 year — 8.9% of Physics. This question is from Wheatstone Bridge.

Year 2024 Total
Questions 4 4

A uniform metallic wire having resistance 4Ω is bent to form a square loop (ABCD) (see figure). A resistance of 2Ω is connected between points B and D and a battery of 2 ~V is connected across points A and C as shown in the figure. Now the value of current (I) is
Square loop circuit diagram with internal resistance for Q9 - NEET 2026 Code 12
A 4 ohm wire bent into a square with an internal diagonal 2 ohm resistor and 2V battery.

Solution & Explanation

Related Formula
Wheatstone bridge balance: (P)/(Q) = (R)/(S) I = EReq
Core Logic

The wire has a total resistance of 4Ω and is bent into a square ABCD. Thus, each side of the square has a resistance of 1Ω.

Deconstructed Wheatstone Bridge schematic Q9
A 4 ohm wire bent into a square with an internal diagonal 2 ohm resistor and 2V battery.

The battery is connected across nodes A and C. A 2Ω resistor is connected across nodes B and D.

We can unfold this circuit diagram: Branches AB and BC form two series resistors on top (totaling 1Ω + 1Ω = 2Ω, but tapped at B). Branches AD and DC form two series resistors on bottom. The ratio of the arms is:

RABRBC = (1)/(1) = 1 and RADRDC = (1)/(1) = 1
Step 1: Simplify Equivalent Resistance

Because the ratios are equal, it forms a balanced Wheatstone bridge.

Deconstructed Wheatstone Bridge schematic Q9
A 4 ohm wire bent into a square with an internal diagonal 2 ohm resistor and 2V battery.
No current will flow through the central 2Ω resistance connected between B and D.

The effective resistance across AC: Top branch: Rₜₒₚ = 1Ω + 1Ω = 2Ω Bottom branch: Rbottom = 1Ω + 1Ω = 2Ω

Req = (2 × 2)/(2 + 2) = 1 Ω
Step 2: Calculate Current

Using Ohm's Law:

I = EReq = 2 ~V1 Ω = 2 ~A
Pattern Recognition

Any symmetric square loop driven diagonally with a cross resistor constitutes a balanced Wheatstone bridge. Ignore the diagonal resistor completely.

Chapter Mix

Class 12 Physics: Current Electricity

Reference Study Guides

More Current Electricity Previous-Year Questions

Q16 neet_2026_03_may_morning Meter Bridge
In a metre bridge experiment (see figure), the positions of the cell, E, and galvanometer, G, are interchanged. We shall observe in the galvanometer:
Meter bridge circuit diagram with cell and galvanometer for Q16
Standard meter bridge circuit indicating positions of E and G.
  • A. Only the right-sided deflection
  • B. Only the left-sided deflection
  • C. There will be no deflection irrespective of the position of the jockey
  • D. Both right-sided and left-sided deflection and at balance point, no deflection

Solution

Core Logic

A meter bridge is a practical application of a Wheatstone bridge.

According to the properties of a Wheatstone bridge, if the positions of the battery (cell, E) and the galvanometer (G) are interchanged, the balance point remains unchanged.

Interchanged E and G in meter bridge showing identical balance state
Standard meter bridge circuit indicating positions of E and G.

Step 1: Final Conclusion

Because the new configuration still acts as a valid bridge circuit, the galvanometer will still show bidirectional deflection (left and right) depending on which side of the null point the jockey is pressed. At the precise balance point, it will show zero deflection.

Pattern Recognition

Interchanging battery and galvanometer in a Wheatstone bridge does not disturb the balance condition. It just re-maps the input-output nodes symmetrically.

Chapter Mix

Class 12 Physics: Current Electricity

Q26 neet_2026_03_may_morning Cells EMF and Internal Resistance
A resistor is connected to a battery of 12 ~V emf and internal resistance 2Ω. If the current in the circuit is 0.6 ~A, the terminal voltage of the battery is:
  • A. 10 ~V
  • B. 10.8 ~V
  • C. 12 ~V
  • D. 1.2 ~V

Solution

Related Formula

V = E - ir

Core Logic

When a battery discharges (supplies current to a resistor), its terminal voltage drops due to the potential lost across its own internal resistance.

Given: EMF E = 12 ~V Internal resistance r = 2 Ω Circuit current i = 0.6 ~A

Step 1: Calculate Terminal Voltage

V = E - ir

V = 12 - (0.6 × 2) V = 12 - 1.2 = 10.8 ~V
Pattern Recognition

Terminal voltage during discharge is strictly E - ir. Do not confuse this with charging, where terminal voltage is E + ir.

Chapter Mix

Class 12 Physics: Current Electricity

Q29 neet_2026_03_may_morning Electrical Energy and Power
A room heater is rated 400 ~W, 220 ~V. If the supply voltage drops to 200 ~V, what will be the power consumed (approximately)?
  • A. 121 ~W
  • B. 331 ~W
  • C. 200 ~W
  • D. 400 ~W

Solution

Related Formula
P = (V²)/(R) PconsumedPrated = ( VappliedVrated )²
Core Logic

The resistance R of the heater remains constant regardless of the voltage applied. Rated power P₀ = (V₀²)/(R) Consumed power Pc = (V²)/(R)

Step 1: Calculate Consumed Power

Dividing the equations:

Pc = [ (V)/(V₀) ]² P₀ Pc = [ (200)/(220) ]² × 400 Pc = ( (10)/(11) )² × 400 Pc = (100)/(121) × 400 = (40000)/(121) ≈ 330.57 ~W
Step 2: Final Conclusion

The power consumed is approximately 331 ~W.

Pattern Recognition

Power varies as the square of the voltage when resistance is fixed. If voltage drops by a small factor, power drops by the square of that factor.

Chapter Mix

Class 12 Physics: Current Electricity

More Current Electricity Questions — neet_2026_03_may_morning

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