Force on Charge Q₂ due to Q₁ 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 Q₁ due to Q₂ a_r12, r and ε. The ε value is 8.85 x 10-12 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 Q₁ due to Q₂ a_r12 and r values are 5 coulomb, 7coulomb, 2 and .25 respectively?
Solution
The given data
Q₁ = 5
Q₂ = 7
a_r12 r = 0.25

Step by step calculation
Formula to find the force on charge 2 due to 1 (F₂) = (Q₁ Q₂/(4 π &epsilon r²)) a_r12 (farads/meter)
substitute the values in the formula
= [(5 x 7)/(4 x π x ε x 0.25²)] 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 0.25²)] x a_r12 (farads/meter)
= 35/3.47539x 10^-11
F₂ = 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.