Simple potentiometer circuit help

[brad sue]

Hi ,please Can I have some suggestions to do this exercice:

A simple potentiometer circuit used to measure unknown voltages accurately is shown below.
Here V_s is the known source voltage, V_xis the unknown voltage, and the resistor is a variable one from which the values R1 and R2 can be read from the position of the pointer. these resistances are varied until the current in the ammeter is zero. Show that the unknown voltage then has the value V_x=V_s*R₂/(R₁+R₂).

I can not create a picture.
Thank you

B

 

[phucnv87]

How can we give you correct suggestion without seeing your picture?

 

[Gokul43201]

Hi ,please Can I have some suggestions to do this exercice:

Brad, please read the guidelines for posting in the coursework forum.

 

[phucnv87]

Here's my solution to your problem

$$V_S=I(R_1+R_2)$$

$$V_X=IR_2$$(because the current through ammeter is $$0$$).

Then the answer is obvious$$V_X=\frac{V_SR_2}{R_1+R_2}$$[/color]

 

[brad sue]

Here's my solution to your problem

$$V_S=I(R_1+R_2)$$

$$V_X=IR_2$$(because the current through ammeter is $$0$$).

Then the answer is obvious$$V_X=\frac{V_SR_2}{R_1+R_2}$$[/color]

Thank you, but please can you give me more precision about Vx=I*R2?
if there is current in the ammeter, this means that Vx should equal to 0 since U=R*I right?

 

[phucnv87]

Using the first and the second Kirchhoff's law you will easily find out what I mean and remember to use $$I_A=0$$ in your equations.[/color]

 

[lightgrav]

Brad Sue, your current i2 = 0 , once the resistors have been properly adjusted.
The I in "IR_2" ... (in post#5) is your i1 ... R1 and R2 have same current
since none of it goes thru the ammeter.