7.1.1. Show that the equivalent circuit element parameters for the coaxial cable and the strip line are correct representations.

7.1.2. Derive the formulas for the capacitance and inductance of a coaxial transmission line presented in Table 7-1.

7.2.1. Show that the quantity does indeed have the units of a velocity.

7.2.2. Show that the units of the diffusion coefficient do indeed have the units of (length) ²/time.

7.2.3. Show that a function which represents a wave that propagates to decreasing values of z satisfies the wave equation (7.7).

7.2.4. Let us replace the linear capacitors in Figure 7-3 with nonlinear varactor diodes whose capacitance depends on the voltage applied across them. In this case, the current ? I into the diode can be written as ? I = ?Q( V)/ ?t. Derive the resulting wave equation for this transmission line.

7.2.5. Demonstrate that both forms of the general solution, (7.15) and (7.16), satisfy the phasor wave equation (7.13). Show that the two terms in each of these solutions are independent functions, so that a general solution must be written as a linear combination of these functions with arbitrary coefficients as given. (Hint: The Wronskian can be used to show that functions are independent.)

7.3.1. Find an expression for the characteristic impedance of the strip line.

7.3.2. Find an expression for the characteristic impedance of a twin lead.