Ion Velocity Calculator, Formula, Ion Velocity Calculation

Ion Velocity Calculator:

Enter the values of Magnitude of the Charge Z, Charge of Electron e(C) , Strength of the Electric field E(N/C), Viscosity n(N*s/m2) , Stokes radius of cahrged molecules r(inches) to determine the value of Ion Velocity Vi(m/s).

Enter Magnitude of the Charge:
Enter Charge of Electron: C
Enter Strength of the Electric Field: N/C
Enter Viscosity: N*s/m2
Enter Stokes Radius of charged Molecules: inches
   
Result – Ion Velocity: m/s

Ion Velocity Formula:

The Ion Velocity Vi(m/s) in meter per second is equal to the Magnitude of the Charge Z and multiply the Charge of Electron e(C) in Coloumb and Strength of the Electric field E(N/C) in Newton per Coloumb is Divided by the 6 and 3.141 value multiply the Viscosity n(N*s/m2) in Newton second per meter square and Stokes radius of cahrged molecules r(inches) in inches.

The Equation of Ion Velocity can be writtern as,

Vi(m/s) = ( Z * e(C) *  E(N/C) ) / ( 6 * pi * n(N*s/m2) * r(inches) )

Learn More:   Uniform Acceleration Calculator, Formula, Uniform Acceleration Calculation

Here,

Vi(m/s) = Ion Velocity in meter per second

Z = Magnitude of the Charge

e(C) = Charge of Electron in Coloumb

E(N/C) = Strength of the Electric field in Newton per Coloumb

n(N*s/m2) = Viscosity in Newton second per meter square

r(inches) = Stokes radius of cahrged molecules in inches

Ion Velocity Calculation :

1)Calculate the Ion Velocity and given for Magnitude of the Charge = 20 , Charge of Electron = 4C , Strength of the Electric field = 4N/C , Viscosity = 10N*s/m2 , Stokes radius of cahrged molecules = 10inches.

Answer

Vi = ( Z * e *  E ) / ( 6 * pi * n * r )

Vi = ( 20 * 4 * 4 ) / ( 6 * 3.141 * 10 * 10 )

Vi = 16752m/s.

2)Calculate the Stokes radius of cahrged molecules and given for Magnitude of the Charge = 20 , Charge of Electron = 4C , Strength of the Electric field = 4N/C , Viscosity = 10N*s/m2 , Ion Velocity = 16752m/s.

Answer

Vi = ( Z * e *  E ) / ( 6 * pi * n * r )

16752 = ( 20 * 4 * 4 ) / ( 6 * 3.141 * 10 * r )

r = 10inches.

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