What is the difference between series and parallel circuits? specify in words and algebraic formula, if possible, the relationships between current, voltage, and resistance in each type of circuit.

Series Circuit.

There is only one path in which electrons can flow in a circuit.

Algebraic Formulas (for n number of components)

I = I1 = I2 = I3 =In

V= V1 + V2 + V3 + - - -  + Vn

Req = R1 + R2 + R3 + - - -  + Rn

Vn = I Rn                

Parallel Circuit.

There is more than one path in which electrons can flow in a circuit.

Algebraic Formulas

I = I1 + I2 + I3 = - - - - - +In

V= V1 = V2 = V3 + - - - - - = Vn  

1/Req = 1/R1 + 1/R2 + 1/R3 + - - - - - + 1/Rn

V = In Rn