>>13006526When we have resistors in series, we add their resistance together to get total resistance. The intuition is that we're adding more obstacles to block current. When we have resistors in parallel, the intuition breaks down.
Instead, convert resistance to conductance. Conductance is just the reciprocal of resistance. The conductance of wires in parallel is just the sum of the conductance of each wire. The intuition is that we're adding more "lanes" to our circuit, so we just add the "throughput" of each wire together to get the net "throughput", conductance.
In series, R_T = R_A + R_B.
In parallel, C_T = C_A + C_B
C = 1 / R
R = 1 / C
