An ammeter or range 5A is to be converted into an ammeter of range 10v...
**Conversion of an Ammeter into a Voltmeter**
To convert an ammeter into a voltmeter, a suitable resistor is added in series with the ammeter. This resistor is known as a shunt resistor. The shunt resistor diverts a portion of the current away from the ammeter, allowing it to measure voltage across the resistor.
**Understanding the Problem**
In this problem, we are given an ammeter with a range of 5A, and we need to convert it into a voltmeter with a range of 10V. The resistance of the ammeter is given as 0.1 ohm. We need to determine the resistance of the shunt resistor that should be connected in series with the ammeter.
**Solution**
To solve this problem, we can use the principle of current division. According to this principle, the current passing through each resistor in a parallel circuit is inversely proportional to its resistance.
We can start by calculating the current passing through the ammeter when a maximum voltage of 10V is applied. Using Ohm's Law (V = IR), we can calculate the current using the resistance of the ammeter:
I = V / R
I = 10V / 0.1Ω
I = 100A
The current passing through the ammeter is 100A. Since the ammeter has a range of 5A, we need to divert 95A away from the ammeter using the shunt resistor.
Using the principle of current division, we can calculate the resistance of the shunt resistor:
Rshunt = Rammeter * (Iammeter / Ishunt)
Rshunt = 0.1Ω * (5A / 95A)
Rshunt = 0.1Ω * 0.0526
Rshunt ≈ 0.00526Ω
Therefore, a shunt resistor with a resistance of approximately 0.00526 ohm should be connected in series with the ammeter to convert it into a voltmeter with a range of 10V.
**Conclusion**
To convert an ammeter into a voltmeter with a specific range, a shunt resistor should be connected in series with the ammeter. By using the principle of current division, we can determine the resistance of the shunt resistor required for the conversion. In this problem, the ammeter with a range of 5A was converted into a voltmeter with a range of 10V by adding a shunt resistor with a resistance of approximately 0.00526 ohm.
An ammeter or range 5A is to be converted into an ammeter of range 10v...