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Как да изчислим Wheatstone

Какво е Wheatstone?

The Wheatstone bridge is a circuit used to measure unknown electrical resistance by balancing two legs of a bridge circuit. R_unknown = R3 × (R2/R1).

Формула

At balance: R1/R2 = R3/Rx — solve for unknown Rx
At
R3/Rx — solve for unknown Rx — R3/Rx — solve for unknown Rx
R1
R3/Rx — solve for unknown Rx — R3/Rx — solve for unknown Rx
R2
R3/Rx — solve for unknown Rx — R3/Rx — solve for unknown Rx
R3
R3 value — Variable used in the calculation
Rx
Rx value — Variable used in the calculation

Ръководство стъпка по стъпка

  1. 1Four resistors arranged in a diamond (bridge) configuration
  2. 2A galvanometer in the centre detects current imbalance
  3. 3At balance: R1/R2 = R3/Rx — solve for unknown Rx

Worked Examples

Вход
R1=100Ω, R2=200Ω, R3=150Ω
Резултат
Rx = 300Ω
Bridge balanced when R1/R2 = R3/Rx

Common Mistakes to Avoid

  • Assuming the bridge must be exact — modern circuits use operational amplifiers for nulling
  • Ignoring lead resistance in precision measurements

Frequently Asked Questions

What is a Wheatstone bridge used for?

Precision measurement of resistance, strain gauges, temperature sensors (RTDs), and load cells.

What happens when the bridge is balanced?

No current flows through the galvanometer. The voltage across it is zero.

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