Calculating Galvanometer Current in Potentiometer Circuit | 2.0V Driver Cell

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SUMMARY

The discussion centers on calculating the galvanometer current in a potentiometer circuit with a 2.0V driver cell and a 2.0kΩ series resistor. The emf of the Daniel cell is determined to be 1.08V. The current through the galvanometer is calculated using Ohm's Law, yielding 0.54 A when the sliding contact is at one end and 0.46 A when at the other end, accounting for the opposing emfs. The importance of drawing the circuit schematic is emphasized to enhance understanding of the current flow and resistance interactions.

PREREQUISITES
  • Understanding of Ohm's Law (I=V/R)
  • Familiarity with potentiometer circuits
  • Knowledge of electromotive force (emf) concepts
  • Ability to interpret circuit schematics
NEXT STEPS
  • Study the principles of potentiometer circuits in detail
  • Learn about the effects of series and parallel resistances on current flow
  • Explore the concept of opposing emfs in electrical circuits
  • Practice drawing and analyzing circuit schematics for better comprehension
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Students studying electrical engineering, educators teaching circuit analysis, and anyone interested in understanding galvanometer applications in potentiometer circuits.

cheah10
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Hi, I have a question which goes like this:
There is a potentiometer consisting of a 2.0V driver cell, slide wire and galvanometer with a 2.0kΩ series resistor used to find the emf of a Daniel cell. The emf of the Daniel cell is found to be 1.08 V.

Now, approximately what current flows through the galvanometer if the protective resistor is in use and the sliding contact is moved to
(i) one end
(ii) the other end
of the slide wire?
(The resistances of the galvanometer and of the cells may be neglected)

The answers my teacher gave me are
(i) I=V/R
=1.08/2000
= 0.54 A
(ii) I=(E-V)/R
=(2.0-1.08)/2000
=0.46x10^3 A

My problem is that I don't understand why in (i), current=(voltage of Daniel cell)/(resistance of the protective resistor) and in (ii) the similar doubt. Can anyone explain to me? Thanks in advance! :smile:
 
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In the first instance the galvanometer is connected back to the Daniel cell. So its emf determines the current through the galvanometer. In the second instance the two emfs oppose each other so their difference determines the driving voltage for the current through the galvanometer. Best to make a drawing with the sliding contact first on the same side as the Daniel cell and then another drawing with the sliding contact at the other end of the wire.
 
ok but the thing is, isn't it that the galvanometer and the 2.0kΩ resistor are on different branches? then why does the calculation involve the 2.0kΩ resistance?
 
cheah10 said:
ok but the thing is, isn't it that the galvanometer and the 2.0kΩ resistor are on different branches? then why does the calculation involve the 2.0kΩ resistance?
Please attach a neat schematic of the circuit you are discussing.
 
Galvanometer protection

This is for the 2nd case. The two cells oppose each other. The difference in their emfs will drive the current.
 

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Basic_Physics said:
This is for the 2nd case. The two cells oppose each other. The difference in their emfs will drive the current.
It was cheah10 who I was asking to post his schematic.
 
I got that yes, but I don't think the student knows what the circuit looks like. I was trying to make the knowledge step smaller. It seems the students needs more help than in the past.
 
Basic_Physics said:
I got that yes, but I don't think the student knows what the circuit looks like. I was trying to make the knowledge step smaller. It seems the students needs more help than in the past.
By being encouraged to come up with the circuit it is quite likely the OP would have discovered he could answer his own question after all. If spoonfed, s/he is deprived of that valuable learning opportunity.

Quite possibly they were hoping to arrive at the answer without even drawing a schematic.
 

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