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A galvanometer coil has a resistance of ...

A galvanometer coil has a resistance of `990Omega` and it shows full scale deflection for a current of 10mA. Calculate the value of resistance required to convert it into an ammeter of range 1 A.

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To convert a galvanometer into an ammeter, we need to add a shunt resistance in parallel with the galvanometer. Here’s how to calculate the required shunt resistance step by step: ### Step-by-Step Solution: 1. **Identify the given values:** - Resistance of the galvanometer coil, \( R_g = 990 \, \Omega \) - Full-scale deflection current of the galvanometer, \( I_g = 10 \, \text{mA} = 0.01 \, \text{A} \) - Total current to be measured by the ammeter, \( I = 1 \, \text{A} \) 2. **Determine the current through the shunt resistance:** - The current through the shunt resistance, \( I_s \), can be calculated using the formula: \[ I_s = I - I_g \] - Substituting the values: \[ I_s = 1 \, \text{A} - 0.01 \, \text{A} = 0.99 \, \text{A} \] 3. **Use the formula for shunt resistance:** - The formula for the shunt resistance \( R \) is given by: \[ R = \frac{I_g \cdot R_g}{I_s} \] - Substituting the known values: \[ R = \frac{0.01 \, \text{A} \cdot 990 \, \Omega}{0.99 \, \text{A}} \] 4. **Calculate the shunt resistance:** - Performing the calculation: \[ R = \frac{9.9 \, \Omega}{0.99} = 10 \, \Omega \] 5. **Conclusion:** - The required shunt resistance to convert the galvanometer into an ammeter of range 1 A is \( R = 10 \, \Omega \).

To convert a galvanometer into an ammeter, we need to add a shunt resistance in parallel with the galvanometer. Here’s how to calculate the required shunt resistance step by step: ### Step-by-Step Solution: 1. **Identify the given values:** - Resistance of the galvanometer coil, \( R_g = 990 \, \Omega \) - Full-scale deflection current of the galvanometer, \( I_g = 10 \, \text{mA} = 0.01 \, \text{A} \) - Total current to be measured by the ammeter, \( I = 1 \, \text{A} \) ...
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