MCQMediumJEE 2026Lenz's Law & Eddy Currents

JEE Physics 2026 Question with Solution

Three identical coils C1C_1, C2C_2 and C3C_3 are closely placed such that they share a common axis. C2C_2 is exactly midway. C1C_1 carries current II in anti-clockwise direction while C3C_3 carries current II in clockwise direction. An induced current flows through C2C_2 will be in clockwise direction when

  • A

    C1C_1 and C3C_3 move with equal speeds away from C2C_2

  • B

    C1C_1 moves away from C2C_2 and C3C_3 moves towards C2C_2

  • C

    C1C_1 moves towards C2C_2 and C3C_3 moves away from C2C_2

  • D

    C1C_1 and C3C_3 move with equal speeds towards C2C_2

Answer

Correct answer:C

Step-by-step solution

Standard Method

Given: Three identical coils C1C_1, C2C_2 and C3C_3 share a common axis, with C2C_2 midway between the other two. C1C_1 carries current II in anti-clockwise direction and C3C_3 carries current II in clockwise direction.

Find: The condition for which the induced current in C2C_2 is in clockwise direction.

Step 1: Determine magnetic field directions.

  • C1C_1 carries current in anti-clockwise direction, so its magnetic field at C2C_2 is out of the plane.
  • C3C_3 carries current in clockwise direction, so its magnetic field at C2C_2 is also out of the plane.

Thus, both coils produce magnetic flux in the same direction through C2C_2.

Step 2: Apply Lenz's law. According to Lenz’s law, the induced current opposes the change in magnetic flux.

Step 3: Analyze option (C).

  • C1C_1 moves towards C2C_2: magnetic flux through C2C_2 increases.
  • C3C_3 moves away from C2C_2: magnetic flux through C2C_2 decreases.

Net effect: decrease in outward magnetic flux through C2C_2.

Step 4: Direction of induced current. To oppose the decrease in outward flux, the induced current in C2C_2 must produce outward magnetic field. This corresponds to a clockwise induced current.

Therefore, the correct option is C.

Lenz's Law Interpretation

Given: The magnetic flux through C2C_2 is due to both C1C_1 and C3C_3.

Find: When the induced current in C2C_2 becomes clockwise.

The key idea is to first check whether the net outward magnetic flux through C2C_2 increases or decreases.

If the net outward flux decreases, then by Lenz’s law the induced current must try to maintain outward flux.

A clockwise induced current is required in this case according to the provided solution logic.

In option C, one source of outward flux weakens overall, so the net outward flux decreases. Hence the induced current is clockwise.

Therefore, the correct option is C.

Common mistakes

  • Assuming the fields due to C1C_1 and C3C_3 at C2C_2 are in opposite directions. This is wrong because the given current directions make both contributions point outward at C2C_2. First determine each field direction carefully before applying Lenz’s law.

  • Looking only at the motion of one coil and ignoring the other. This is wrong because the induced current depends on the net change of magnetic flux through C2C_2. Combine the increase from one coil and the decrease from the other before deciding the direction.

  • Using Lenz’s law to oppose the magnetic field instead of opposing the change in magnetic flux. This is wrong because induced current does not oppose the existing flux directly; it opposes whether that flux is increasing or decreasing. Decide the trend in flux first.

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