A galvanometer coil has a resistance of 15 Ωand gives full scale deflection for a current of 5

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A galvanometer coil has a resistance of 15 Ωand gives full...

A galvanometer coil has a resistance of $15 \Omega$ and gives full scale deflection for a current of $5 \mathrm{~mA}$. To convert it to an ammeter of range 0 to $6 \mathrm{~A}$ [Karnataka CET 2006] (a) $10 \mathrm{~m} \Omega$ resistance is to be connected in parallel to the galvanometer (b) $10 \mathrm{~m} \Omega$ resistance is to be connected in series with the galvanometer (c) $0.1 \Omega$ resistance is to be connected in parallel to the galvanometer (d) $0.1 \Omega$ resistance is to be connected in series with the galvanometer

A galvanometer coil has a resistance of $15 \Omega$ and gives full scale deflection for a current of $5 \mathrm{~mA}$. To convert it to an ammeter of range 0 to $6 \mathrm{~A}$ [Karnataka CET 2006]
(a) $10 \mathrm{~m} \Omega$ resistance is to be connected in parallel to the galvanometer
(b) $10 \mathrm{~m} \Omega$ resistance is to be connected in series with the galvanometer
(c) $0.1 \Omega$ resistance is to be connected in parallel to the galvanometer
(d) $0.1 \Omega$ resistance is to be connected in series with the galvanometer

Key Concepts

Current Divider Principle

The current divider principle explains how current splits between parallel branches in a circuit based on their resistances. In the context of ammeter conversion, this principle is applied to calculate the proper shunt resistor value so that only a defined fraction of the total current passes through the galvanometer, ensuring safe operation and accurate measurement.

Galvanometer

A galvanometer is a sensitive piece of equipment used to detect and measure small electrical currents. It produces a visible deflection in its needle when a current passes through it, with the full-scale deflection corresponding to a specific small current value.

Ammeter Conversion

Converting a galvanometer into an ammeter allows the instrument to measure a much larger range of currents than it is originally designed for. This is achieved by modifying the circuit so that most of the current bypasses the galvanometer, protecting it and enabling it to accurately measure higher currents.

Shunt Resistor

A shunt resistor is a low-resistance component connected in parallel with the galvanometer. Its purpose is to allow the majority of the current to pass through it rather than the sensitive galvanometer element. By carefully selecting the shunt resistance, the combined circuit can accurately extend the measurement range without damaging the galvanometer.

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