haha
no mnemonics
just memorize the formulas for series... and then you should be able to figure out the ones for parallel as they are just the opposite.
When u practice enough of these it becomes easy/ intuitive. Concepts are more important than formulas. For example in series RT = R1+R2+R3... why? well in series circuit we see that voltage potential
drops at each resistor, I like to think of resistors as light bulbs. So because V = IR as we go from R1 -> R2 -> R3, V decreases, so based on the Power = I^2R or Power = IV, we see that as
upon the decrease of Voltage, with current being the same, our power supplied would drop which is why each subsequent light connected in series is dimmer than the previous. (therefore in series connection is not very efficient, unlike parallel which is what most ciruits are). So back to the point if in series connection are RT = R1 + R2 + R3. Vt = IRt would equal IR1 + IR2 + IR3 etc. So its easier to combine the resistors into R1 + R2 + R3 because the current is the same in in series resistors therefore u can factor out I ( I(R1+R2+R3) Current dosen't change, resistance does, so the
Voltage total would be the sum of Voltage at individual resistors. Parallel is opposite of this because
Voltage is the same across parallel resistors, you can see that Voltage at 1 resistor in parallel connection does not affect voltage at another resistor in parallel. so current (I) is the only thing that changes and thats based on the individual resistors. so V = IR would show that V and R has an inverse relationship when V is constant. And Power = V^2/R would show that if resistance are the same, in a parallel circuit, the power supplied would be the same at each resistor. Therefore, (Same wattage light bulbs) connected in parallel will all illuminate the same brightness. Also a good thing to know is that since Voltage is not affected in parallel from 1 resistor to another, power is not affected, so if a parallel resistor (1 light bulb) goes out, it will not affect another light bulb thats connected in parallel.
Once u figure out resistance, the formulas for capacitor is just opposite. But know the concepts behind it. What changes, what stays the same etc and you'll be able to figure it out.
Sorry if this confuses u even more though but I hope it helps
