Deriving Series and Parallel Equivalent Resistances:

(a) Currently Concurrent Currents: See the diagram below. If the currents I₁ = 5 A and I₂ =3A, what is I₃?

(b) Ohm's Law: What is the current flowing through this circuit?

(c) Series Equivalent Resistance: Using the fact that the voltage needs to drop from V to zero after crossing both resistors, the junction rule, and applying Ohm's law to each resistor, find the equivalent resistance R_A in terms of R₁ and R₂.

(d) Parallel Equivalent Resistance: Using the fact that the voltage drops from V to zero across either resistor, the junction rule, and applying Ohm's law to each resistor, find the equivalent resistance R_A in terms of R₁ and R₂.

a ) Iz I 3 b ) V R RA C ) RZ V -> V = IRA V = V , + V z RA = ? I RA R BR Z V V = I RA I = I, + Iz RA =