There is no initial energy stored in the circuit in Figure P10-43 .

(a) Transform the circuit into the \(s\) domain and formulate node-voltage equations.

(b) Solve these equations for \(V_{2}(s)\) in symbolic form.

(c) Insert an OP AMP buffer at point A and solve for \(V_{2}(s\) ) in symbolic form. How did inserting the buffer change the denominator and, therefore, the location of the poles?

(d) Using both separate circuits (with and without the OP AMP), select values of \(R_{1}, R_{2}, C_{1}\), and \(C_{2}\) to locate a pole at \(-10 \mathrm{krad} / \mathrm{s}\) and a second pole at \(-100 \mathrm{krad} / \mathrm{s}\). Evaluate the two approaches and give pros and cons for each design.