A galvanomenter with resistance 5 Ωcan read upto 5 m A. If this instrument is to be used to read

step 1 In this problem first I'm writing the given data. So given that G is equal to 200 om, IG is equa

A galvanomenter with resistance 5 Ωcan read upto 5 m A. If...

A galvanomenter with resistance $5 \Omega$ can read upto 5 $\mathrm{m} A$. If this instrument is to be used to read upto 100 volt, then the value of resistance to be used in its series will be
(a) $19.9995 \Omega$
(b) $199.995 \Omega$
(c) $1999.95 \Omega$
(d) $19995 \Omega$

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Key Concepts

Galvanometer Characteristics

A galvanometer is a sensitive instrument used for detecting and measuring small currents. It has specific ratings such as its full-scale deflection current and internal resistance, which determine the maximum current it can measure before it overloads.

Ohm’s Law

Ohm’s Law is a fundamental principle in electronics, stating that the voltage across a resistor is directly proportional to the current flowing through it, expressed as V = IR. This relationship is essential for calculating the required resistance to achieve a desired voltage drop for a given current.

Series Circuit Analysis

In a series circuit, the total resistance is the sum of the individual resistances. When a galvanometer is converted into a voltmeter by adding a series resistor, the overall resistance influences the voltage-current relationship, ensuring that only a small current flows even at high voltages.

Conversion of a Galvanometer to a Voltmeter

To convert a galvanometer into a voltmeter capable of measuring higher voltages, a high resistance is added in series with the galvanometer. This series resistor limits the current through the device, ensuring that the full-scale deflection current corresponds to the maximum voltage being measured, according to Ohm’s law.

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