A hydrogen atom in the normal state is locatred at a distance `r=2. 5cm` from a long straigh condctor carrying a current `I= 10A`. Find the force acting on the atom.

A hydrogen atom in the normal state is locatred at a distance `r=2. 5c

1.	A hydrogen atom in the normal state is locatred at a distance `r=2. 5cm` from a long straigh condctor carrying a current `I= 10A`. Find the force acting on the atom.
Answer» The magnetic field at a distacne `r` from a long current carrying wire is mostly tangential and given by `B_(varphi)=(mu_(0)I)/(2 pi r)=(mu_(0))/(4pi)(2I)/(r )` The force on a magnetic dipole of mement `vec(mu)` due to this magnetic iels is also tangential and has magnitude `(vec(mu).grad)B_(varphi)` This force is nonvanishing only when the component of `vec(mu)` along `vec(r )` non zero. Then `F=mu_(r )(del)/(del r)B_(varphi)= -mu_(r )(mu_(0))/(4pi)(2I)/(r^(2))` Now the maximum value of `mu_(r )=+-mu_(B)` Thus the force is `F_(max)=mu_(B)(mu_(0))/(4pi)(2I)/(r^(2))= 2.97xx10^(-26)N`

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A hydrogen atom in the normal state is locatred at a distance `r=2. 5cm` from a long straigh condctor carrying a current `I= 10A`. Find the force acting on the atom.

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