# Proton inside a cyclotron

**Electricity and Magnetism**Level 3

A proton is released from rest such that it starts rotating in the cyclotron at radius \(R\) and finally comes out from the slits of the cyclotron. The distance between the two semi-circular regions is \(d\). Find the **maximum** number of turns proton take before coming out from slit's.

**Details and Assumptions**

\({ { m }_{ p }=1.6\times { 10 }^{ -27 }\text{ kg}\\ { q }_{ p }=1.6\times { 10 }^{ -19 } C\\ B={ 10 }^{ -4 }\text{ T}\\ R=6\text{ m}\\ E=10\frac{\text{V}}{\text{m}}\\ d=10\text{ cm}\\ }\).

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