A galvanometer having a resistance of 25.0??has a 1.00?? shunt resistance instal

Question

A galvanometer having a resistance of 25.0??has a 1.00?? shunt resistance installed to convert it to an ammeter. It is then used to measure the current in a circuit consisting of a 15.0?? resistor connected across the terminals of a 25.0-V battery having no appreciable internal resistance.

Part A

What current does the ammeter measure?

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Part B

What should be the true current in the circuit (that is, the current without the ammeter present)?

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Part C

By what percentage is the ammeter reading in error from the true current?

Express your answer using two significant figures.

A galvanometer having a resistance of 25.0??has a 1.00?? shunt resistance installed to convert it to an ammeter. It is then used to measure the current in a circuit consisting of a 15.0?? resistor connected across the terminals of a 25.0-V battery having no appreciable internal resistance.

Part A

What current does the ammeter measure?

  A  

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Part B

What should be the true current in the circuit (that is, the current without the ammeter present)?

  A  

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Part C

By what percentage is the ammeter reading in error from the true current?

Express your answer using two significant figures.

%error = %

Explanation / Answer

a.) Equiv. Resistance inside ammeter: 1/Req=1/25 + 1/1

Req= (26/25)^-1 = 25/26 = 0.96 ohms
R total of the system = Req + Resistor = 25/26+15= 15.96 ohms
V=IR

I=25/(15.96)= 1.566 A

b) I=V/R ===> 25/15 = 1.667 A

c) (1.667-1.566)/2.5) * 100 = 6.06% error

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