What is an ammeter? Conversion of galvanometer into ammeter?

What is an ammeter? Conversion of galvanometer into ammeter?

An ammeter is an instrument used to measure electric current in an electric circuit.

ammeter

A ammeter is a modified form of a galvanometer for measuring current in the circuit we require a device of a very low or practically zero resistance.

Conversion of Galvanometer into Ammeter :

"A Galvanometer can be converted into an ammeter by connecting a low resistance ( called shunt) parallel to the galvanometer." 

A small resistance S (shunt resistance) connected in parallel to galvanometer (G) is shown in figure. 

A small resistance S (shunt resistance) connected in parallel to galvanometer (G) is shown in figure.

Let G and S be the resistance of a galvanometer and shunt respectively. Let I be the total current to be measured by an ammeter in the circuit. 

Let $I_{g}$ be the current flowing through the galvanometer. The remaining current $(I-I_{g})$ flows through the shunt resistance. 

Since G and S are parallel, the potential difference across them is same. 

$$(I-I_{g}) S=I_{g} G$$

$$S = \left (\frac{I_{g} }{I-I_{g} } \right )G$$

This is the required value of shunt resistance to convert a galvanometer into an ammeter of range 0-I ampere. 

Effective resistance of ammeter : 

The total effective resistance $R_{eff}$ of an ammeter is given by

 $$\frac{1}{R_{eff}} = \frac{1}{G} + \frac{1}{S}$$

$$\frac{1}{R_{eff}} = \frac{G+S}{GS}$$

$$R_{eff} = \frac{GS}{G+S}$$

$$Since \ G>>S, $$

$$so \ (G+S) \simeq G$$

Hence, 

$$R_{eff} = \frac{GS}{G}$$

$$R_{eff}  = S$$

Thus, an ammeter is a low resistance device. Resistance of an ideal ammeter is Zero.  

an ammeter is always connected in series in the circuit in which current is to be measured

Note : an ammeter is always connected in series in the circuit in which current is to be measured.




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