A potentiometer is to be used to measure the voltage Vm as shown above. L is the length of the potentiometer and x is the length of resistance to the contact point when the measurement is ready to be taken.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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### Potentiometer Circuit Measurement

**Diagram Explanation:**
The diagram depicts a circuit using a potentiometer to measure the voltage \( V_m \). In the circuit:

- \( V_s \) represents the source voltage.
- \( L \) is the total length of the potentiometer.
- \( R \) is the resistance wire of the potentiometer.
- \( R_x \) is the variable section of the resistance wire.
- An ammeter (A) is connected in series to measure current \( I_G \).
- \( V_m \) is the voltage across resistor \( R_m \).

**Question 2: [5 Points]**

A potentiometer is used to measure the voltage \( V_m \) as shown in the circuit above. \( L \) is the length of the potentiometer, and \( x \) is the length of resistance up to the contact point when the measurement is ready to be taken.

(a) **Conditions for Measurement:**
   - What conditions are required for a measurement to be taken?
   - Does this place the system in null or deflection mode for the measurement?

(b) **Calculation of \( V_m \):**
   - How is \( V_m \) calculated from the measured length \( x \)? Provide a mathematical expression.
   - No written explanation is required.
Transcribed Image Text:### Potentiometer Circuit Measurement **Diagram Explanation:** The diagram depicts a circuit using a potentiometer to measure the voltage \( V_m \). In the circuit: - \( V_s \) represents the source voltage. - \( L \) is the total length of the potentiometer. - \( R \) is the resistance wire of the potentiometer. - \( R_x \) is the variable section of the resistance wire. - An ammeter (A) is connected in series to measure current \( I_G \). - \( V_m \) is the voltage across resistor \( R_m \). **Question 2: [5 Points]** A potentiometer is used to measure the voltage \( V_m \) as shown in the circuit above. \( L \) is the length of the potentiometer, and \( x \) is the length of resistance up to the contact point when the measurement is ready to be taken. (a) **Conditions for Measurement:** - What conditions are required for a measurement to be taken? - Does this place the system in null or deflection mode for the measurement? (b) **Calculation of \( V_m \):** - How is \( V_m \) calculated from the measured length \( x \)? Provide a mathematical expression. - No written explanation is required.
Expert Solution
Step 1

a.

To make the measurement of unknown voltage Vm

  • The ammeter must show 0A reading
  • For more accuracy of measurement, the ammeter should be very sensitive.
  • The ammeter should have no deflection and it must be at null point represents zero current.
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