A galvanometer with resistance 100 Ωgives full scale deflection with a current of 10 m A. The v

step 1 We are given a galvanometer and we want to convert this galvanometer into an emeter. So we put a

A galvanometer with resistance 100 Ωgives full scale...

A galvanometer with resistance $100 \Omega$ gives full scale deflection with a current of $10 \mathrm{~m} A$. The value of shunt, in order to convert it into an ammeter of 10 ampere range, will be
(a) $-10 \Omega$
(b) $1 \Omega$
(c) $0.1 \Omega$
(d) $0.01 \Omega$

Key Concepts

Ammeter Conversion

Ammeter conversion involves modifying a galvanometer to measure a larger range of currents by using a shunt resistor. This technique ensures that the small full-scale deflection current of the galvanometer is preserved, while a parallel shunt resistor carries the majority of the higher current, thereby extending the measurement range safely.

Ohm's Law

Ohm’s Law is a fundamental electrical principle that states the voltage across a resistor is directly proportional to the current through it, expressed as V = I × R. This relationship is essential when calculating the required resistance values in circuits, including determining the proper value for a shunt resistor in an ammeter conversion.

Current Division

Current division is the concept governing how electrical current splits between parallel branches in a circuit. The amount of current that goes through each branch is inversely proportional to the resistance of that branch. When a shunt resistor is used with a galvanometer, current division ensures that most of the current bypasses the galvanometer while still allowing full-scale deflection to occur through it.

Shunt Resistor

A shunt resistor is a low resistance component used in parallel with a sensitive measuring instrument like a galvanometer to divert most of the current away from it. This allows the instrument to measure larger currents safely by ensuring that only a fraction of the total current passes through the sensitive part of the circuit.

Galvanometer

A galvanometer is a sensitive instrument used for detecting and measuring small electrical currents. It operates by converting the electrical current into a mechanical deflection, typically using a coil and a magnetic field, and is calibrated so that a specific small current results in a full scale deflection.

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