Wheatstone Bridge Basics
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Questions and Answers

What is the condition for a Wheatstone bridge to be considered balanced?

  • $I_g = I_1 + I_2$
  • $R_1/R_2 = R_3/R_4$
  • $I_g = 0$ (correct)
  • $R_1 + R_2 = R_3 + R_4$

In the context of the Wheatstone bridge, what does the galvanometer measure?

  • The total current in the circuit
  • The resistance in the battery arm
  • The voltage across the resistors
  • The current flowing through it (correct)

Which equation represents the first Kirchhoff's loop rule applied to the Wheatstone bridge?

  • $I_1 + I_3 = I_2 + I_4$
  • $-I_1 R_1 + I_2 R_2 = 0$ (correct)
  • $I_1 R_1 - I_2 R_2 = 0$
  • $I_1 R_1 + I_2 R_2 = 0$

Which resistance value must remain constant to determine an unknown resistance using the Wheatstone bridge?

<p>$R_1$ (A), $R_2$ (D)</p> Signup and view all the answers

What happens when the Wheatstone bridge is not balanced?

<p>Current flows through the galvanometer (C)</p> Signup and view all the answers

When applying Kirchhoff’s junction rule at junctions D and B in a Wheatstone bridge, what relationship holds true?

<p>$I_1 = I_3$ and $I_2 = I_4$ (B)</p> Signup and view all the answers

What role does the battery play in a Wheatstone bridge circuit?

<p>It establishes potential difference across resistors (D)</p> Signup and view all the answers

What is the primary function of the galvanometer in a Wheatstone bridge circuit?

<p>To detect the current flowing through the bridge (A)</p> Signup and view all the answers

In a Wheatstone bridge, what happens when the resistors are not equal in ratio?

<p>A current will flow through the galvanometer (B)</p> Signup and view all the answers

What are the two arms called in a Wheatstone bridge circuit?

<p>Battery arm and galvanometer arm (D)</p> Signup and view all the answers

What condition leads to I_g being equal to zero in a Wheatstone bridge?

<p>An equal ratio of the resistances (D)</p> Signup and view all the answers

Which rule is applied at junctions D and B to analyze the Wheatstone bridge?

<p>Kirchhoff's current law (C)</p> Signup and view all the answers

Flashcards

Wheatstone Bridge

A circuit with four resistors that are connected in a bridge-like structure. It is used to measure an unknown resistance.

Balanced Bridge

The condition where the galvanometer in a Wheatstone bridge shows no deflection, indicating that the bridge is balanced and no current flows through the galvanometer.

Galvanometer Arm

The line connecting points B and D in a Wheatstone bridge that contains the galvanometer, which detects current flow through the circuit.

Battery Arm

The line connecting points A and C in a Wheatstone bridge, which contains the voltage source (or battery).

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Meter Bridge

A device (commonly a meter bridge) that uses the principle of the Wheatstone bridge to determine an unknown resistance.

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Balance Condition

The relationship between the four resistors in a Wheatstone bridge that must be satisfied for the bridge to be balanced (i.e., the galvanometer shows no deflection).

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Ig

The current flowing through the galvanometer in a Wheatstone bridge.

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Kirchhoff's Junction Rule

One of the two rules used to analyze electrical circuits. This rule states that the sum of currents entering a junction must equal the sum of currents leaving the junction.

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What is a Wheatstone Bridge?

A circuit used to measure an unknown resistance by balancing the bridge, creating a zero current through the galvanometer.

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What is a balanced Wheatstone Bridge?

The condition where no current flows through the galvanometer in a Wheatstone Bridge. This occurs when the ratio of resistances on one side of the bridge equals the ratio on the other side.

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What is the galvanometer arm in a Wheatstone Bridge?

The connection in a Wheatstone Bridge that includes the galvanometer, used to detect the current flow through the bridge.

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What is the battery arm in a Wheatstone Bridge?

The connection in a Wheatstone Bridge that contains the voltage source, providing the electric potential for the circuit.

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What is Kirchhoff's Junction Rule?

This rule states that the sum of currents entering a junction must equal the sum of currents leaving a junction.

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Study Notes

Wheatstone Bridge

  • A Wheatstone bridge is a circuit used to measure unknown resistances.
  • It has four resistors (R₁, R₂, R₃, R₄) arranged in a diamond shape.
  • A voltage source (battery) is connected between opposite corners (A and C), often referred to as the battery arm.
  • A galvanometer (G) is connected between the other two corners (B and D), often referred to as the galvanometer arm.
  • A balanced bridge occurs when there's no current flowing through the galvanometer (Ig = 0).
  • The bridge circuit can have current flow through all resistors and the galvanometer, but is most useful when the galvanometer shows no deflection (Ig = 0).

Balance Condition

  • For a balanced bridge, the current through the galvanometer is zero (Ig = 0).
  • Kirchhoff's junction rule, applied at junctions B and D, gives I₁ = I₃ and I₂ = I₄.
  • Applying Kirchhoff's loop rule to loops ADBA and CBDC yields the balance condition.
  • (R₁/R₂) = (R₃/R₄)
  • This equation shows the relationship between the four resistors for a balanced bridge.

Determining Unknown Resistance

  • The balance condition allows for measuring an unknown resistance (R₄).
  • Known resistors (R₁, R₂) are placed in arms one and two.
  • The resistance (R₃) in the third arm is adjusted until the galvanometer shows no deflection (a null reading).
  • The balance condition then provides a way to calculate the unknown resistance using the equation.

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Description

This quiz covers the fundamentals of the Wheatstone bridge, a circuit used to measure unknown resistances. Participants will explore its configuration, balance condition, and how to determine unknown resistor values using known resistances. Test your understanding of this crucial concept in electrical circuits!

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