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**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 10-12 farads/meter for free space or air.

The below mathematical formula is used in this calculator to find the force on charge 2 due to charge 1

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.