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Resistance Combination & Verification using Meter Bridge

Experiment video

What you will learn

Verify the laws of combination of resistances (series and parallel) using a Wheatstone meter bridge apparatus and determine unknown resistances.

Materials needed

  • Meter Bridge Board with 1m Manganin wire
    Meter Bridge Board with 1m Manganin wire
    ₹50
    What is it?

    One-meter long manganin or constantan resistance wire tensioned over a graduated wooden meter scale.

    Specifications
    Wire Length
    100.0 cm
    Wire Composition
    Constantan (60% Cu, 40% Ni)
    Strip Thickness
    3.0 mm thick copper strips
    Base
    Teakwood polished board
  • Leclanché Cell or regulated 2V DC power supply
    NS
    Leclanché Cell or regulated 2V DC power supply
    ₹95
    What is it?

    Decade plug-type resistance box with non-inductively wound manganin coils.

    Specifications
    Total Resistance
    1 – 100 Ω
    Accuracy
    ± 0.1%
    Plugs
    Heavy brass plugs with taper fit
    Base
    Ebonite top plate
  • Sensitive Galvanometer (center zero)
    Sensitive Galvanometer (center zero)
    ₹140
    What is it?

    Centre-zero dead-beat moving coil galvanometer with high current sensitivity.

    Specifications
    Scale
    30 – 0 – 30 divisions
    Current Sensitivity
    20 μA / division
    Internal Resistance
    80 Ω
    Terminals
    Gold-plated binding posts
  • Standard Resistance Box (1 to 100 Ω)
    Standard Resistance Box (1 to 100 Ω)
    ₹185
    What is it?

    Spring-loaded knife-edge sliding contact with insulated handle.

    Specifications
    Contact Edge
    Phosphor bronze knife-edge
    Handle
    Moulded ebonite grip
    Action
    Spring-loaded push-to-touch
    Terminal
    Screw terminal for lead
  • Jockey with sharp knife edge
    Jockey with sharp knife edge
    ₹230
    What is it?

    Standard laboratory apparatus used in Resistance Combination & Verification using Meter Bridge.

    Specifications
    Category
    Physics Apparatus
    Grade
    CBSE / NEP 2020 Laboratory Standard
  • Two standard resistance coils (R1 ≈ 2Ω, R2 ≈ 3Ω)
    Two standard resistance coils (R1 ≈ 2Ω, R2 ≈ 3Ω)
    ₹275
    What is it?

    Standard laboratory apparatus used in Resistance Combination & Verification using Meter Bridge.

    Specifications
    Category
    Physics Apparatus
    Grade
    CBSE / NEP 2020 Laboratory Standard
  • One-way key and thick copper connecting strips set
    One-way key and thick copper connecting strips set
    ₹320
    What is it?

    Standard laboratory apparatus used in Resistance Combination & Verification using Meter Bridge.

    Specifications
    Category
    Physics Apparatus
    Grade
    CBSE / NEP 2020 Laboratory Standard

Tick items as you collect them. Tap + to see the product, specifications and buy options.

Stay safe

  • Do not drag or scrape the jockey along the bridge wire; touch it gently to prevent non-uniform wire cross-section.
  • Ensure balance point lies near the center (between 40 cm and 60 cm) for maximum bridge sensitivity.
  • Clean connecting terminals and tighten screws with pliers.
  • Use shunt across galvanometer during initial rough balance.

Steps

0 of 7 steps done
  • 1Connect the meter bridge circuit strictly according to Wheatstone bridge principles.
    Observation

    Heavy copper boundary strips cleaned with sandpaper to eliminate contact resistance at terminal joints.

    Safety

    Disconnect battery eliminator key while setting up bridge connections.

  • 2Introduce a resistance R from the resistance box in the left gap and unknown coil X in the right gap.
    Observation

    Null test: Touching jockey at left end gives left deflection; touching right gives right deflection.

    Safety

    Never drag the jockey knife-edge along the wire; tap gently to avoid scraping or thinning the wire.

  • 3Touch the jockey at 0 cm and 100 cm of the bridge wire to verify opposite deflections in the galvanometer.
    Observation

    Unplug 2.0 Ω from box; jockey tapped along wire until galvanometer needle stays exactly at zero division.

    Safety

    Hold jockey by its insulated ebonite handle.

  • 4Gently slide the jockey along the manganin wire until the galvanometer indicates zero deflection (null point l).
    Observation

    Null length l reads 40.0 cm; calculated unknown resistance X = 2.0 × (60.0/40.0) = 3.00 Ω.

    Safety

    Release jockey contact between trials to prevent local wire heating.

  • 5Calculate unknown resistance X = R × (100 - l) / l.
    Observation

    Connect both coils in series end-to-end; null point shifts to 44.4 cm with R = 4.0 Ω.

    Safety

    Ensure inter-coil series joint is twisted tight or clamped securely.

  • 6Repeat the determination with R1 and R2 connected in series, then in parallel.
    Observation

    Experimental Rs = 5.01 Ω confirms theoretical addition law within 0.2% tolerance.

    Safety

    Disconnect battery plug upon completing measurements.

  • 7Compare the experimental combination values with theoretical series and parallel formulas.

Tap + on a step to see what you will observe and any safety tips.

Record your observations

Resistance in Box R (Ω)Balancing Length l (cm)100 - l (cm)Unknown X = R(100-l)/l (Ω)
2.0 Ω40.0 cm60.0 cm3.00 Ω (R1)
2.0 Ω50.0 cm50.0 cm2.00 Ω (R2)
4.0 Ω44.4 cm55.6 cm5.01 Ω (Rs Series: R1+R2)
1.0 Ω45.5 cm54.5 cm1.20 Ω (Rp Parallel: R1R2/(R1+R2))
3.0 Ω50.0 cm50.0 cm3.00 Ω (Repeated test R1)

Tap a highlighted cell to write your own observation.

Result and conclusion

Experimental equivalent resistances for series (Rs = R1 + R2) and parallel (1/Rp = 1/R1 + 1/R2) match theoretical values within an experimental error of < 1.5%.

X = R · (100 - l) / l; Rs = R1 + R2 = 5.0 Ω (Series Verification)
ObservationWhat it means
Wheatstone PrincipleAt null deflection, ratio of resistances equals ratio of wire segment lengths (P/Q = R/X).
Series Law VerifiedExperimental series resistance Rs = 5.01 Ω matches theoretical R1 + R2 = 3.0 + 2.0 = 5.0 Ω within 0.2%.
Parallel Law VerifiedExperimental parallel resistance Rp = 1.20 Ω matches theoretical (3.0 × 2.0) / (3.0 + 2.0) = 1.20 Ω.
Minimal End ErrorBalancing lengths obtained near wire center (40–60 cm) minimize meter bridge copper strip end resistance.
Resistance Box (R) vs Balancing Length (l) Characteristic018365472251.0 Ω402.0 Ω503.0 Ω57.14.0 Ω62.55.0 ΩKnown Resistance R (Ω)Null Point Length l (cm)

Sample readings. Replace with your own results.

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