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.

the current in coil 2 will generate a magnetic field that opposes the magnetic field from coil 1. Use your right hand rules to figure out the direction of the current.

so b it is???? absolutely sure?

To determine which statement is true, we need to understand the principle of electromagnetic induction.

When the switch S is closed, the changing magnetic field produced by the increasing current in coil 1 will induce an electromotive force (EMF) in coil 2. This induced EMF will cause a current to flow in coil 2.

Now, let's consider the options:

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.

Based on the principle of electromagnetic induction, option b is the correct statement. The induced current in coil 2 will flow in the opposite direction to that of the increasing current in coil 1.

This can be determined using Lenz's law, which states that an induced current will flow in a direction that opposes the change in the magnetic field that produced it. So when the current in coil 1 is increasing, the induced current in coil 2 will flow in the opposite direction to counteract the change.

In conclusion, the correct statement is:

b. The current in coil 2 will be in the opposite direction as in coil 1.