In this problem, we are given an assertion and a reason related to electromagnetic induction. Let's analyze them:
Assertion (A): It is difficult to move a magnet into a coil of large number of turns when the circuit of the coil is closed.
Reason (R): The direction of induced current in a coil with its circuit closed, due to motion of a magnet, is such that it opposes the cause.
First, understand the phenomenon referred to in both the assertion and the reason, which is explained by Lenz's Law. According to Lenz's Law, the direction of induced current is such that it opposes the change that produced it. This is an application of the conservation of energy.
When a magnet is moved into a coil (especially one with many turns), and the circuit is closed, an induced current is generated due to the change in magnetic flux. This current creates its own magnetic field that opposes the movement of the magnet. Hence, more effort is required to move the magnet into the coil than if the coil circuit were open. This explains why the assertion is true.
The reason correctly states that the induced current's direction opposes the cause of its creation (the movement of the magnet). Therefore, the assertion and reason are both true, and the reason provides the correct explanation for the assertion.
Based on this analysis, the correct option is:
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
Predict the direction of induced current in the situations described by the following Figs. 6.18(a) to (f ).
A long solenoid with 15 turns per cm has a small loop of area 2.0 cm2 placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from 2.0 A to 4.0 A in 0.1 s, what is the induced emf in the loop while the current is changing?
A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the loop. What is the emf developed across the cut if the velocity of the loop is 1 cm s-1 in a direction normal to the (a) longer side, (b) shorter side of the loop? For how long does the induced voltage last in each case?
A 1.0 m long metallic rod is rotated with an angular frequency of 400 rad s-1 about an axis normal to the rod passing through its one end. The other end of the rod is in contact with a circular metallic ring. A constant and uniform magnetic field of 0.5 T parallel to the axis exists everywhere. Calculate the emf developed between the centre and the ring.
A horizontal straight wire 10 m long extending from east to west is falling with a speed of 5.0 m s-1, at right angles to the horizontal component of the earth’s magnetic field, 0.30 \(\times\)10-4 Wb m-2 .