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Questions and Answers

What classification do resistances of the order of 1 Q and under fall into?

  • High resistances
  • Medium resistances
  • Low resistances (correct)
  • Variable resistances
  • Which of the following methods is NOT used for measuring medium resistances?

  • Capacitor method (correct)
  • Ammeter-Voltmeter method
  • Substitution method
  • Wheatstone bridge method
  • What do high resistances classify as?

  • Resistances from 0.1 MQ and upwards (correct)
  • Resistances from 1 Q to about 0.1 MQ
  • Resistances from 0.01 Q to 1 Q
  • Resistances below 0.1 Q
  • What is a common limitation of the ammeter-voltmeter method?

    <p>The voltmeter measures the total voltage including the ammeter</p> Signup and view all the answers

    Which resistance measurement technique is generally suitable for laboratory use due to instrument availability?

    <p>Ammeter-Voltmeter method</p> Signup and view all the answers

    What range of resistances does the medium resistance classification cover?

    <p>From 1 Q to about 0.1 MQ</p> Signup and view all the answers

    What can lead to inaccurate results when measuring resistance?

    <p>Disturbances in circuit conditions</p> Signup and view all the answers

    What is the primary purpose of the Carey-Foster Slide-wire Bridge?

    <p>To determine the difference between standard and unknown resistances</p> Signup and view all the answers

    What does the symbol 'l2' represent in the context of the slide-wire bridge?

    <p>The difference in length between two positions at balance</p> Signup and view all the answers

    Which equation relates the resistances S and R to the lengths of the slide-wire at balance?

    <p>S - R = (l1 - l2)r</p> Signup and view all the answers

    How are the resistances P and Q adjusted in relation to R and S?

    <p>So their ratio is equal to the ratio of R to S</p> Signup and view all the answers

    What is eliminated from the calculations when comparing resistances S and R using the Carey-Foster Slide-wire Bridge?

    <p>The resistances of P and Q contact resistances and connecting leads</p> Signup and view all the answers

    What is the calculated true value of resistance R based on the measurement Rm2?

    <p>86 Ω</p> Signup and view all the answers

    What is the percentage error associated with the ammeter reading at 0.42 A?

    <p>1.19%</p> Signup and view all the answers

    How is the error due to both the ammeter and voltmeter calculated?

    <p>Using their standard deviations in a formula</p> Signup and view all the answers

    What is the formula used to calculate the percentage error in the voltmeter reading of 35.5 V?

    <p>(0.25 / 35.5) x 100</p> Signup and view all the answers

    What does the connecting diagram for the substitution method include?

    <p>A combination of both R and S with an ammeter</p> Signup and view all the answers

    What is the formula used to determine the percentage error from the voltmeter?

    <p>(0.5/35.5)x100</p> Signup and view all the answers

    What is the percentage error calculated by combining the ammeter error of 1.19% and voltmeter error of 0.704%?

    <p>± 1.38%</p> Signup and view all the answers

    Which value is not directly derived from the measured values of resistance in the calculations?

    <p>Resistance of the ammeter</p> Signup and view all the answers

    What happens when the switch is toggled to position '2' in the substitution method?

    <p>S is inserted into the circuit</p> Signup and view all the answers

    What is the typical accuracy range for measurements using an ordinary ohmmeter?

    <p>3% to 5%</p> Signup and view all the answers

    What condition must be satisfied for a Wheatstone bridge to be considered balanced?

    <p>No current flows through the galvanometer.</p> Signup and view all the answers

    Which component is typically used as a null detector in a Wheatstone bridge?

    <p>A galvanometer</p> Signup and view all the answers

    What is the role of the standard resistor in the substitution method?

    <p>To provide a known reference resistance.</p> Signup and view all the answers

    How does the deflection of the galvanometer relate to the total resistance in the circuit?

    <p>It is inversely proportional to the total resistance.</p> Signup and view all the answers

    In the Wheatstone bridge method, which factors influence the accuracy of measurement?

    <p>The circuit's battery emf constancy.</p> Signup and view all the answers

    Which of these is a characteristic of the substitution principle used in resistance measurement?

    <p>It allows direct comparison of unknown and known resistances.</p> Signup and view all the answers

    Which parameters primarily affect the measurement accuracy in resistance measurements?

    <p>The sensitivity of the instrument.</p> Signup and view all the answers

    When measuring high resistances, which method is commonly used instead of the standard Wheatstone bridge configuration?

    <p>A modified Wheatstone bridge.</p> Signup and view all the answers

    What is the key relationship described in the formula for bridge balance, $P=I_2R$?

    <p>It indicates the balance of potentials at the bridge.</p> Signup and view all the answers

    What happens to the sensitivity of a bridge circuit if the ratio P/Q is greater or smaller than unity?

    <p>Sensitivity decreases considerably.</p> Signup and view all the answers

    In the Thevenin equivalent circuit, what parameters are represented in the circuit?

    <p>An emf and an internal resistance.</p> Signup and view all the answers

    For a bridge with equal arms, what is the relationship between R, S, P, and Q?

    <p>R = S = P = Q</p> Signup and view all the answers

    What is the effect of averaging two readings in a galvanometer circuit?

    <p>It doubles the sensitivity of the bridge.</p> Signup and view all the answers

    What does the current through the galvanometer depend on?

    <p>The Thevenin equivalent circuit.</p> Signup and view all the answers

    What is the effect of having a low ratio P/Q in the sensitivity of a circuit?

    <p>It reduces accuracy.</p> Signup and view all the answers

    What expression relates to finding the Thevenin or open circuit voltage in a galvanometer circuit?

    <p>$£Un = E - En$</p> Signup and view all the answers

    What can be inferred about the relationship between sensitivity and accuracy in bridge circuits?

    <p>Increased sensitivity leads to decreased accuracy.</p> Signup and view all the answers

    What role does the resistance of the galvanometer circuit, denoted by G, play in the measurements?

    <p>It affects the deflection observed.</p> Signup and view all the answers

    If the ratio of P/Q is found to be 1000, how does it compare to unity in terms of sensitivity?

    <p>Sensitivity will decrease considerably.</p> Signup and view all the answers

    Study Notes

    Measurement of Resistance

    • Low resistances are those of 1 Ω or less.
    • Medium resistances range from 1 Ω to 0.1 MΩ.
    • High resistances are above 0.1 MΩ.
    • Different measurement techniques are used for each class.

    Measurement of Medium Resistances

    • Ammeter-Voltmeter Method:

      • Used for measuring medium resistances.
      • Two types of connections shown (Fig. 14.1(a) and 14.1(b)).
      • Accurate measurements require ammeter resistance to be zero and voltmeter resistance to be infinite.
      • In reality, these ideal conditions are not met
      • Measured resistance is higher than true resistance because of ammeter resistance.
      • Measured value = True value + Ammeter resistance.
      • Relative error is equal to (Measured - True)/True).
      • This method is popular in labs because these instruments are available.
    • Substitution Method:

      • More accurate than the ammeter-voltmeter method.
      • Errors are reduced by keeping the battery emf constant.
    • Wheatstone Bridge Method:

      • A very important instrument extensively used.
      • Measures resistances to high accuracy.
      • It utilizes a null indication principle.
    • Ohmmeter Method

      • Not explained in detail.

    Additional Notes

    • Accuracy of measurements is affected by the resistance of the measuring instruments.
    • Errors are minimized when the resistance being measured is significantly larger than the instrumentation resistance.
    • The suitability of a method depends on the values of resistance under measurement and the instrument resistances.

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