Howto Derive Equations
Solving for 1 unknown in terms of known.
Given 3 Capacitors in series, find equivalent capacitance in computer
usable terms.
We will need to solve for Ceq.
If you multiply anything by one, we know that it still the same.
Since we have C1,C2,C3 all in separate denominators, we need a common
denominator.
We find the common denominator By multiplying all the denominators
together, we get
.
We know by math that anything divided by itself is 1. So we can make
the manipulation
If we multiply each term by the above expression we would get something
like.
Use Cancellation and simplify
Notice the common denominator, apply fraction rules.
Solve for C, take reciprocal of both sides.
Use sets of parenthesis to show as 1 line equation, as one would enter
into a calculator