Finding Potential Difference in a Potentiometer Circuit

In summary, the conversation is discussing how to find the potential difference per unit length for a resistive wire between two points, T and X, where one point has a known potential E2 and the other point has an unknown potential E1. The solution involves using the equation E1/Rxy = E2/Rxt and assuming that the galvanometer reading is zero to work out the potential at point T. This allows for the calculation of the potential difference per unit length of the wire XY.
  • #1
Janiceleong26
276
4

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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  • #2
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.
 
  • #3
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?
 
  • #4
Janiceleong26 said:
E1-E2?
No. E2 is not connected to point T.
 
  • #5
gneill said:
No. E2 is not connected to point T.
I'm confused .. Why isn't E2 connected to T?
 
  • #6
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.
 
  • #7
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?
 
  • #8
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.
 
  • #9
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 !
 

Related to Finding Potential Difference in a Potentiometer Circuit

1. What is a potentiometer circuit?

A potentiometer circuit is an electronic circuit that uses a variable resistor, known as a potentiometer, to control the output voltage. It is commonly used in electronic devices to adjust the volume, brightness, or other parameters.

2. How does a potentiometer circuit work?

A potentiometer circuit works by varying the resistance between two terminals of the potentiometer. The input voltage is applied across one end of the potentiometer and the output voltage is taken from the other end. By adjusting the position of the potentiometer's wiper, the resistance between the input and output terminals changes, thus changing the output voltage.

3. What are the components of a potentiometer circuit?

The components of a potentiometer circuit include a potentiometer, a power source, and a load. The potentiometer is the variable resistor that controls the output voltage, the power source provides the input voltage, and the load is the device that is powered by the output voltage.

4. What are the different types of potentiometer circuits?

There are two main types of potentiometer circuits: voltage divider and rheostat. In a voltage divider circuit, the potentiometer is connected in series with other resistors to divide the input voltage. In a rheostat circuit, the potentiometer is used as a variable resistor to control the amount of current flowing through a circuit.

5. What are the applications of potentiometer circuits?

Potentiometer circuits have a wide range of applications in electronics, including volume control in audio systems, dimmer switches for lights, and speed control in motors. They are also used in scientific instruments, such as voltmeters and potentiometric sensors, to measure voltage and resistance.

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