Consider two single turn coils labeled 1 and 2 that are positioned close to each other. The switch S has been open for a long time. If the switch is now closed and the current through coil 1 is in the direction shown and increasing, which of the following statements is true?
a.The current in coil 2 will be in the same direction as in coil 1.
b.The current in coil 2 will be in the opposite direction as in coil 1.
c. There will be no current in coil 2.
d.The direction of the current in coil 2 will depend on the size of the resistance R.
e. The direction of the current in coil 2 will depend on whether the area of coil 2 is larger or smaller than that of coil 1.
To determine the answer to this question, we need to understand the principles of electromagnetic induction. When the current in coil 1 is increasing, it produces a changing magnetic field around it. This changing magnetic field induces an electromotive force (EMF) in coil 2 according to Faraday's law.
According to Lenz's law, the induced current in coil 2 will flow in such a way as to oppose the change that caused it. This means that the induced current will be in the opposite direction to the current in coil 1. This leads us to conclude that the correct answer is option b: The current in coil 2 will be in the opposite direction as in coil 1.
It is important to note that the direction of the current in coil 2 is not dependent on the resistance R or the relative sizes of the two coils. It is solely influenced by the changing magnetic field produced by the increasing current in coil 1.