Force on Charge Q_{2} due to Q_{1} Formula & Calculator


force on charge calculator  step by step calculation, formula & solved example problem to find the force on charge 2 due to charge 1 in electrical engineering based on the input values of Q_{1} due to Q_{2} a_{r12}, r and ε. The ε value is 8.85 x 1012 farads/meter for free space or air.
Force on Charge & its formula
The below mathematical formula is used in this calculator to find the force on charge 2 due to charge 1
Solved Example
The below step by step solved example problem may helpful for users to understand how the input values are being used in such calculations.
Example Problem
Find the force on charge F2 in the free space, where the Q_{1} due to Q_{2} a_{r12} and r values are 5 coulomb, 7coulomb, 2 and .25 respectively?
Solution
The given data
Q_{1} = 5
Q_{2} = 7
a_{r12}
r = 0.25
Step by step calculation
Formula to find the force on charge 2 due to 1 (F_{2}) = (Q_{1} Q_{2}/(4 π &epsilon r^{2})) a_{r12} (farads/meter)
substitute the values in the formula
= [(5 x 7)/(4 x π x ε x 0.25^{2})] x a_{r12} (farads/meter)
ε value for free space 8.85 x 10^{12}
= [(5 x 7)/(4 x π x 8.85 x 10^{12} x 0.25^{2})] x a_{r12} (farads/meter)
= 35/3.47539x 10^{11}
F_{2} = 10.07 x 10^{11}
In the field electrical & electronics engineering, there may be many situations arise to find the force on charge to design the circuits. The above formula, step by step calculation & solved example problem may be useful for users to understand how the values are being used in the formula to the force on charge 2 due to 1, however, when it comes to online for quick calculations, this force on charge calculator helps the user to perform & verify their calculations as quick as possible.