A Galvanometer coil has a resistance of 15 Ωand gives full scale deflection for a current of 4

step 1 As we know that S is equal to IG by i minus IG. Solving it further by putting the value in this

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 $4 \mathrm{~mA}$. To convert it to an ammeter of range 0 to $6 \mathrm{Amp}$ (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 $4 \mathrm{~mA}$. To convert it to an ammeter of range 0 to $6 \mathrm{Amp}$
(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

Galvanometer

A galvanometer is an instrument used to detect and measure small electrical currents. It operates on the principle that a coil suspended in a magnetic field will deflect when a current passes through it, with the deflection being proportional to the current. In measurement techniques, the galvanometer serves as a sensitive current detector, often used as the basis for creating other types of measuring instruments.

Full Scale Deflection

Full scale deflection refers to the maximum current that can pass through the galvanometer, resulting in the maximum measurable deflection of the coil. This current level is critical because it sets the baseline for calibrating the instrument when converting it for applications such as ammeter or voltmeter design, ensuring that the device operates within safe and accurate limits.

Ammeter Conversion

Converting a galvanometer into an ammeter involves modifying the circuit so that the instrument can measure larger currents than the galvanometer's full scale deflection current. This is generally achieved by shunting the galvanometer with a resistor placed in parallel. The shunt resistor diverts most of the current, allowing only a small, controlled current to pass through the sensitive galvanometer while the total current measured can be significantly higher.

Shunt Resistor

A shunt resistor is used in parallel with the galvanometer to bypass most of the current when converting it into an ammeter. The value of the shunt resistor is calculated to ensure that only the galvanometer's full scale current flows through it while the remaining current passes through the shunt. This allows the modified instrument to measure currents far exceeding the galvanometer's original full scale deflection current without damage or loss of accuracy.

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