Consider the network shown in Figure containing a voltage-controlled source producing the controlled current i_{c} = gv, where g is a constant with units of conductance, and the control voltage happens to be the terminal voltage in this case.
(a) Obtain an expression for R_{eq} = v/i.
(b) For (i) g_{R} = 1 / 2, (ii) g_{R} = 1, and (iii) g_{R} = 2, find R_{eq} and interpret what it means in each case.