Assertion (A): The deflection in a galvanometer is directly proportional to the current passing through it.
Reason (R): The coil of a galvanometer is suspended in a uniform radial magnetic field.
The assertion given is that the deflection in a galvanometer is directly proportional to the current passing through it. This is indeed true. A galvanometer works on the principle that a current-carrying coil placed in a magnetic field experiences a torque. The deflection θ in the galvanometer is given by the equation θ = kI, where I is the current and k is a constant of proportionality, indicating that the deflection is directly proportional to the current.
The reason provided is that the coil of a galvanometer is suspended in a uniform radial magnetic field. This is also true. In a galvanometer, the coil is placed between the poles of a magnet designed to create a uniform radial magnetic field, ensuring that the torque is proportional to the current for all positions of the coil.
However, the reason mentioned is not the correct explanation for the assertion regarding the proportionality of deflection to current. The arrangement of the uniform radial magnetic field allows for consistent torque at different coil positions, but it is primarily the electromagnetic torque resulting from the interaction of the magnetic field and current that causes the deflection proportionality.
Therefore, the correct option is: Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
Galvanometer:
A galvanometer is an instrument used to show the direction and strength of the current passing through it. In a galvanometer, a coil placed in a magnetic field experiences a torque and hence gets deflected when a current passes through it.
The name "galvanometer" is derived from the surname of Italian scientist Luigi Galvani, who in 1791 discovered that electric current makes a dead frog’s leg jerk.
A spring attached to the coil provides a counter torque. In equilibrium, the deflecting torque is balanced by the restoring torque of the spring, and we have the relation:
\[ NBAI = k\phi \]
Where:
As the current \( I_g \) that produces full-scale deflection in the galvanometer is very small, the galvanometer alone cannot be used to measure current in electric circuits.
To convert a galvanometer into an ammeter (to measure larger currents), a small resistance called a shunt is connected in parallel to the galvanometer.
To convert it into a voltmeter (to measure potential difference), a high resistance is connected in series with the galvanometer.