Finding Potential Difference in a Potentiometer Circuit

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SUMMARY

The discussion focuses on calculating the potential difference in a potentiometer circuit, specifically addressing the relationship between electromotive forces (E1 and E2) and resistances (Rxy and Rxt). The key conclusion is that when the galvanometer reading is zero, the potential at point T equals E2, regardless of E1's value. The potential difference per unit length of the wire XY can be determined by dividing E2 by the length XT. This clarification resolves confusion regarding the connections and current flow in the circuit.

PREREQUISITES
  • Understanding of potentiometer circuits and their components
  • Familiarity with electromotive force (EMF) concepts
  • Knowledge of Ohm's Law and resistance calculations
  • Basic principles of electric current and potential difference
NEXT STEPS
  • Study the principles of potentiometer circuits in detail
  • Learn how to calculate potential differences in resistive circuits
  • Explore the concept of galvanometers and their applications in measuring current
  • Investigate the relationship between resistance and length in conductive materials
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and educators looking to deepen their understanding of potentiometer circuits and potential difference calculations.

Janiceleong26
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Homework Statement


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Homework Equations

The Attempt at a Solution


The answer is B. But I thought E1 needs to be be known first in order to find E2... And why not the resistance of the wire XY?

E1/ Rxy = E2/ Rxt

Then, in order to find Rxt, we need E1, Rxy and E2?
 
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Suppose that you know E2. What can you say about the potential at T with respect to X?

Note that you're looking for the potential difference per unit length, not the resistance or resistance per unit length.
 
gneill said:
Suppose that you know E2. What can you say about the potential at T with respect to X?

Note that you're looking for the potential difference per unit length, not the resistance or resistance per unit length.
E1-E2?
 
Janiceleong26 said:
E1-E2?
No. E2 is not connected to point T.
 
gneill said:
No. E2 is not connected to point T.
I'm confused .. Why isn't E2 connected to T?
 
Janiceleong26 said:
I'm confused .. Why isn't E2 connected to T?
Because there's the lengths XT and TY of resistive wire between E2 and T. There is some (unknown) current running through those lengths, causing potential differences.
 
gneill said:
Because there's the lengths XT and TY of resistive wire between E2 and T. There is some (unknown) current running through those lengths, causing potential differences.
Okay.. So the p.d. across XT is XT/XY x E1?
 
Janiceleong26 said:
Okay.. So the p.d. across XT is XT/XY x E1?
No. Forget about E1 for now; you don't have a value for it. What you are to assume is that you know E2, and that the galvanometer reading is zero.
 
gneill said:
No. Forget about E1 for now; you don't have a value for it. What you are to assume is that you know E2, and that the galvanometer reading is zero.
Potential at T is equal to E2
 
  • #10
Janiceleong26 said:
Potential at T is equal to E2
Right! Note that it doesn't matter what E1 is. As soon as the galvanometer shows zero current, the potential at point T must match E2.

Can you now work out the potential difference per unit length of the wire XY?
 
  • #11
gneill said:
Right! Note that it doesn't matter what E1 is. As soon as the galvanometer shows zero current, the potential at point T must match E2.

Can you now work out the potential difference per unit length of the wire XY?
Yeah! It's E2 divide by the length XT. Thanks !
 

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