A solenoid 60 cm long and of radius 4 cm has 3 layer of windings 300 turns each. A 2.3 cm long wire of mass 2.5g lies inside the solenoide near its center normal to its axis, both the wire and the axis of the solenoid are in the horizontal plane. The wire is connected through two leads parallel to the axis of the solenoid to an external battery which supplies a current of 6A in the wire. What value of current (with appropriate sense of circulation) in the windings of the solenoid can support the weight of the wire?

Explanation

To solve the problem, we need to determine the current in the solenoid that will support the weight of the wire placed inside it. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Problem
We have a solenoid with specific dimensions and windings, and a wire inside it carrying a current. We need to find the current in the solenoid that can balance the weight of the wire.

### Step 2: Identify Given Values
- Length of solenoid (L) = 60 cm = 0.6 m
- Radius of solenoid (r) = 4 cm = 0.04 m
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