How Do You Calculate the Series Resistance for a Voltmeter Using a Galvanometer?

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Homework Help Overview

The discussion revolves around calculating the series resistance needed for a voltmeter using a galvanometer with a specified coil resistance and full-scale deflection current. Participants are exploring the relationship between voltage, current, and resistance in this context.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to apply Ohm's law and circuit analysis to determine the necessary series resistance. Questions are raised regarding the values used in calculations, particularly the source of a voltage value mentioned.

Discussion Status

Some participants have provided initial calculations and suggestions for further reading, while others are questioning the validity of certain assumptions and values presented in the attempts. The discussion is ongoing with no clear consensus yet.

Contextual Notes

There is mention of a lack of explanation in the unit material, which may be affecting participants' understanding of the problem. Additionally, the introduction of a voltage value (35.5V) has been questioned, indicating potential confusion or misinterpretation of the problem setup.

Myr73
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A galvanometer of coil resistance 50 Ω deflects full scale for a current of 3.50mA. What series resistance should be used with this galvanometer to construct a voltmeter which deflects full scale for 35.0 V ?

r=50 Ω I=3.50mA=0.0035 V=35.0v R=?


I= V/R



The Attempt at a Solution


I honestly don't know- There is very little explanation in the unit -Help me get started please?
 
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Myr73 said:
A galvanometer of coil resistance 50 Ω deflects full scale for a current of 3.50mA. What series resistance should be used with this galvanometer to construct a voltmeter which deflects full scale for 35.0 V ?

r=50 Ω I=3.50mA=0.0035 V=35.0v R=?


I= V/R



The Attempt at a Solution


I honestly don't know- There is very little explanation in the unit -Help me get started please?

I would recommend that you read the wikipedia article on Galvanometers. That should help you form the mental picture that you need to solve this. If you still have problems with this, post the link to the wikipedia article that you read, and ask specific questions about that material.
 
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A galvanometer of coil resistance 50 Ω deflects full scale for a current of 3.50mA.

What series resistance should be used with this galvanometer to construct a voltmeter which deflects full scale for 35.0 V?

First thing to do is draw and label both circuits.

It's the same galvanometer in both cases. Same deflection required (eg "full scale") so have a think about what else will need to be the same both circuits?
 
Ok, So this is what I came up with, does it makes sense?
R1= 50 Ω Ig= 3.5mA=0.0035A V=35.5V R=? In series , therefore Ig=Iv=I

V=I/R V=V1+V2=IR1+IR2

V1= 0.0035/50=0.00007 V
{V-V1}/ I=R2= 10143 Ω= 10 k Ω
The voltmeter will consist of a resistance R ser = 10k Ω in series with the galvanometer.
 
Myr73 said:
Ok, So this is what I came up with, does it makes sense?
R1= 50 Ω Ig= 3.5mA=0.0035A V=35.5V .

No.
Where did 35.5V come from?
 

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