# It only looks simple!

**Electricity and Magnetism**Level 5

Consider a square loop of side length \(l\) and each side having mass \(m\) carrying a current \(i\) placed in the plane of an infinitely large wire at a distance \(d\) from it. The wire carries a current \(I\).

The axis of the loop shown is fixed. Now, we rotate the loop by a small angle. Find the time period of oscillations of the loop in **Seconds** . Below is the figure and details :

\(l = 10 \text{cm}, d = 10 \text{cm}, I = 50 A, i = 4A, m = 30 g \)

**Details and assumptions**

The answer to this physics problem is a real number.

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