Consider the situation shown in the figure of the previous problem. Suppose the wire connecting O and C has zero resistance but circular loop has a resistance R uniformly distributed along its length. The rod OA is made to rotate with a uniform angular speed `omega` as shown in the figure. Find the current in the rod when `ltAOC = 90^@`.

Explanation

To solve the problem, we need to find the current in the rod OA when the angle AOC is 90 degrees. Here’s a step-by-step solution:

### Step 1: Understand the Setup
We have a circular loop with resistance \( R \) uniformly distributed along its length. The rod OA is rotating with a uniform angular speed \( \omega \) and is connected to point O and C, where the wire OC has zero resistance.

### Step 2: Identify the Resistance in the Loop
When the angle AOC is 90 degrees, the rod OA divides the circular loop into two parts:
- The segment from A to C (which is one-fourth of the loop).
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