# Magnetism + Sequence = Maquence

**Electricity and Magnetism**Level 4

**bent**in the form of semi-circular rings, as shown in the figure. Now it is placed in a uniform magnetic field of magnitude \(B_0\) oriented perpendicular to the plane of the rings.

The radii of the successive **half rings** are as follows: \[R, 3R^2,5R^3,7R^4 \ldots \infty\]

Now if we rotate the Rod about the point \(O\) with constant angular velocity \(\omega \), find the magnitude of the induced emf developed in the rod.

**Assumptions**

- The rod is very thin.
- The rod is rigid.

**Details**

- \(B _0=2.0\) Tesla
- \(\omega =5\) rad/sec
- \(R=0.5\) m