To solve this assertion-reason type question, we need to evaluate the truth of each statement and their relationship to each other.
Assertion (A): The deflection in a galvanometer is directly proportional to the current passing through it.
The assertion states a fundamental principle of how galvanometers work. When a current passes through the coil of a galvanometer, it experiences a torque due to the magnetic field, causing a deflection which is generally proportional to the current.
Therefore, the assertion is true.
Reason (R): The coil of a galvanometer is suspended in a uniform radial magnetic field.
The reason describes the specific construction of a galvanometer where the coil is placed in a uniform radial magnetic field. This design ensures that the torque experienced by the coil is proportional to the current, regardless of its position, as the angle between the plane of the coil and magnetic field is always constant.
Hence, the reason is also true.
While the reason correctly describes an aspect of the galvanometer's design, it is not the direct explanation for why the deflection is proportional to the current. The deflection being proportional to the current is a result of the linear relationship between current, magnetic field, and torque, not merely due to the coil being in a radial field.
Therefore, the correct conclusion is: Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
A short bar magnet placed with its axis at 30º with a uniform external magnetic field of 0.25 T experiences a torque of magnitude equal to 4.5 × 10-2 J. What is the magnitude of magnetic moment of the magnet?
A short bar magnet of magnetic moment m = 0.32 J T-1 is placed in a uniform magnetic field of 0.15 T. If the bar is free to rotate in the plane of the field, which orientation would correspond to its ( a ) stable, and ( b) unstable equilibrium? What is the potential energy of the magnet in each case?
A closely wound solenoid of 800 turns and area of cross section 2.5 × 10-4 m2 carries a current of 3.0 A. Explain the sense in which the solenoid acts like a bar magnet. What is its associated magnetic moment?