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Physics · Class 12

Wheatstone and metre bridge

Current Electricity

Find zero detector voltage in the bridge. A uniform metre wire turns a resistance ratio into a length ratio. Ratio arms in a post-office box use the same null principle.

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Wheatstone and metre bridge

வீட்ஸ்டோன் சமநிலையில் கண்டறிவி மின்னோட்டம் பூஜ்யம். மீட்டர் கம்பியில் நீள விகிதம் மின்தடை விகிதம்.

Key notes, relationships and model limits

Key relationship

At null P/Q=R/X; uniform metre wire X/R=ℓ/(100−ℓ).

Remember

Find zero detector voltage in the bridge. A uniform metre wire turns a resistance ratio into a length ratio. Ratio arms in a post-office box use the same null principle.

Common trap

The bridge ratio is justified at zero galvanometer deflection, rather than at an arbitrary slider position.

Model limits

Ideal voltmeter detector, uniform metre wire and negligible contact resistance. Wheatstone and metre readouts represent two alternative apparatus arrangements.

What you will learn

Use the controls and plotted relation to explain wheatstone and metre bridge.

Try the experiment

Try both scenarios, change one control, and predict the result before checking the graph and readouts.

Think of it this way

Change one input while keeping the others fixed, as you would in a controlled experiment.

Worked example

If R=20 Ω and the metre balance length is 60 cm, X=20×60/40=30 Ω.

Why this matters

The model connects wheatstone and metre bridge with an observable reading. Check the equation and assumptions before applying it.

Before you start

SI units · algebra · graph reading

Check your understanding

At balance, equal ratio arms P=Q imply?

Read the explanation

The compared resistances R and X are equal.

Course connection: Class XII Chapter 3. Consult the roadmap for CBSE, NEET, JEE Main and Advanced scope.