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The signal, vi 10 sin !t V, is applied to the negative clamping circuit of Fig. 2-18(b). Treating the diode as ideal, sketch the output waveform for 1 1 cycles of vi . The capacitor is initially 2 uncharged.

public Network() { if (start != null) { start.dist = 0; for (Vertex p = start.nextVertex; p != null; p = p.nextVertex) { p.dist = Integer.MAX_VALUE; // infinity } } } public void findShortestPaths() { // implements Dijkstra s Algorithm: for (Vertex v = start; v != null; v = closestVertex()) { for (Edge e = v.edges; e != null; e = e.nextEdge) { Vertex w = e.to; if (!w.done && v.dist+e.weight < w.dist) { w.dist = v.dist+e.weight; w.back = v; } } v.done = true; } } private Vertex closestVertex() { // returns the vertex with minimal dist among those not done: Vertex v = null; int minDist = Integer.MAX_VALUE; for (Vertex w = start; w != null; w = nextVertex) { if (!w.done && w.dist < minDist) { v = w; minDist = w.dist; } } return v; } }

For 0 t T=4, the diode is forward-biased, giving vo 0 as the capacitor charges to vC 10 V. For t > T=4, vo 0, and thus the diode remains in the blocking mode, resulting in vo vC vi 10 vi 10 1 sin !t V

public class TooManyOccupantsException extends Exception { TooManyOccupantsException( int occupantCount ) { super( "Vehicle cannot accommodate " + occupantCount ); } } In ManyVehicles test class: try{ System.out.println( "adding people to Ford" ); v1.setOccupants( 6 ); } catch( Exception e ) { System.out.println( e.getMessage() ); } 5.11 Change your ManyVehicles class so that it reads from a text file called Vehicles.txt the specifications for the Vehicles to create. Use a BufferedReader or a Scanner to read the file. Using a Scanner is probably easier in this case. Here is a sample Vehicles.txt file. The first word in a line is the class, the second word in a line is color, the third word in a line is the make, the fourth word is the model, and the fifth word is the maximum number of occupants. In the case of a bus, there is a sixth word in the line giving the driver s name: Vehicle red Vehicle silver BMW Bus blue Vehicle gold Skateboard orange Ford F-150 328i 4 GM bus Chrysler PTCruiser WorldIndustries ProBoard 3 32 Jones 4 1

In this implementation, we have used a simple search method closestVertex() instead of a priority queue. This is less efficient, running in O(n) time instead of the O(lgn) time that a priority queue would use.

Fig. 2-35

CHAP. 2]

GRAPH TRAVERSAL ALGORITHMS The paths produced by Dijkstra s algorithm produce a minimal spanning tree for the graph. That is a spanning tree whose total weighted length is minimal for the graph; that is, no other spanning tree has a smaller total length. The spanning tree is formed in a breadth-first manner, by considering the vertices that are adjacent to the current vertex on each iteration. This is one of two general ways to traverse a graph. The breadth-first search algorithm is essentially the same as Dijkstra s algorithm without regard to the distance fields. Algorithm 15.2 The Breadth-First Search (BFS) Algorithm (Preconditions: G = (V,E) is a graph or digraph with initial vertex v0; each vertex has a boolean visited field initialized to false; T is an empty set of edges; L is an empty list of vertices.) (Postcondition: L lists the vertices in BFS order, and T is a BFS spanning tree for G.)