A moving coil instrument has a resistance of 10 and gives full-scale ...
A moving coil instrument has a resistance of 10 and gives full-scale ...
To adapt a moving coil instrument to measure a current up to 100 A, a shunt resistance needs to be connected across the meter. The correct option is A.
Explanation:
A shunt resistance is used to divert a portion of the current away from the moving coil instrument, allowing it to measure higher currents without getting damaged.
Here's how it works:
1. Understanding the problem:
- The moving coil instrument has a resistance of 10 ohms.
- It gives a full-scale deflection at 0.5 V potential difference across it.
- We need to measure currents up to 100 A.
2. Calculating the shunt resistance:
- The full-scale deflection across the instrument occurs at 0.5 V.
- Since the resistance of the instrument is 10 ohms, the current required for full-scale deflection is I = V/R = 0.5/10 = 0.05 A (50 mA).
- To measure currents up to 100 A, we need to divert most of the current away from the instrument.
- Let's assume we want the instrument to read full-scale deflection at 100 A. Therefore, the shunt resistance should be designed to create a voltage drop of 0.5 V at 100 A.
- Using Ohm's law (V = IR), we can calculate the required resistance: R = V/I = 0.5/100 = 0.005 ohms (5 mΩ).
3. Connecting the shunt resistance:
- The shunt resistance (0.005 ohms) is connected in parallel with the moving coil instrument.
- This means that most of the current will pass through the shunt resistance, while a small portion will pass through the instrument.
- The instrument will measure the voltage drop across its terminals, which is proportional to the current passing through it.
- By calibrating the instrument, we can ensure that full-scale deflection occurs at 0.5 V, corresponding to 100 A passing through the shunt resistance.
In summary, by connecting a shunt resistance of 0.005 ohms across the moving coil instrument, it can be adapted to measure currents up to 100 A.