A Galvanometer of resistance 15 Ωis connected to a battery of 3 volt along with a resistance of

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A Galvanometer of resistance 15 Ωis connected to a battery...

A Galvanometer of resistance $15 \Omega$ is connected to a battery of 3 volt along with a resistance of $2950 \Omega$ in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series should be (a) $6050 \Omega$ (b) $4450 \Omega$ (c) $5050 \Omega$ (d) $5550 \Omega$

A Galvanometer of resistance $15 \Omega$ is connected to a battery of 3 volt along with a resistance of $2950 \Omega$ in series. A full scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 20 divisions, the resistance in series should be
(a) $6050 \Omega$
(b) $4450 \Omega$
(c) $5050 \Omega$
(d) $5550 \Omega$

Key Concepts

Galvanometer Sensitivity

Galvanometer sensitivity refers to the instrument’s ability to detect and respond to small currents, typically indicated by a deflection of its needle or divisions on a scale. This sensitivity is directly linked to the current flowing through it, meaning that any modification in circuit resistance directly affects the deflection, which is critical in calibrating the meter for different measurement ranges.

Meter Range Adjustment

Meter range adjustment involves altering the external series resistance connected to a galvanometer to change its full-scale deflection. By increasing the series resistance, the current for a given voltage is decreased, allowing the meter to operate within a new, calibrated scale. This technique is fundamental in applications where the galvanometer’s range must be adapted for different measurement requirements.

Ohm's Law

Ohm's Law is the foundational principle in electrical circuits that relates voltage, current, and resistance. It states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance. This concept is essential for calculating how adding or changing resistance in the circuit will affect the current through the galvanometer.

Series Circuit Analysis

In a series circuit, all components share the same current, and the total resistance is the sum of the individual resistances. Understanding series circuits is crucial when designing or modifying circuits, as it allows one to determine the effect of adding additional resistance on the overall current flow and the subsequent deflection of the galvanometer.

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