Complete parts (a) and (b) for both the circuits (resistors in series) and the circuit shown in (resistors in parallel). (a) Use Ohm’s law with Kirchhoff’s current and voltage laws to derive equations...

Complete parts (a) and (b) for both the circuits (resistors in series) and the circuit shown in (resistors in parallel).

(a) Use Ohm’s law with Kirchhoff’s current and voltage laws to derive

equations for currents i1,i2, and i (through resistor R1, resistor R2, and the voltage source, respectively) in terms of R1,R2, and v.

(b) R1 and R2 can be interchanged with an equivalent resistor with resistance R without changing the values of v and i. Show the derivation of an equation for the equivalent resistance R in terms of R1 and R2.