# Don't hammer the charge particle , he is innocent !

**Electricity and Magnetism**Level 5

\[\displaystyle{T=2\pi \sqrt { \cfrac { a\sqrt { b } +c\sqrt { d } }{ e } \left( \cfrac { m\epsilon }{ q\rho } \right) } }\]

Find least value of \(a+b+c+d+e\)

**Details and assumptions**:

\(R=1 \text{ m}, L=1 \text{ m}, d=2 \text{ m}\)

\(\epsilon \) is permittivity of free space and neglect gravity.