A final well structured problem: the Wheatstone bridge

Here we will model the Wheatstone bridge problem in DEPS. A Wheatstone bridge is an electrical system made up of 3 known resistors, an unknown resistor and an ammeter, mounted as shown in the figure below. The problem is to find the value of the unknown resistor so that the current in the ammeter is equal to zero.

Modeling the Wheatstone bridge system

Model WheatstoneSys(Gen)
Constants

Variables

Elements

Res1:Resistor(1);
Res2: Resistor(2, 3);
Res3 : Resistor(3, 6);
Res4 : Resistor(4, 4);

Ammeter : Dipole(1);

Gen : VSource[Voltage];

Connexion1 : Node(Gen.Pin, Res1.Pout, Res4.Pout);
Connexion2 : Node(Gen.Pout, Res2.Pin, Res3.Pin);
Connexion3 : Node(Res2.Pout, Res1.Pin, Ammeter.Pin);
Connexion4 : Node(Res4.Pin, Res3.Pout, Ammeter.Pout);

Properties

End

Modeling the Wheatstone bridge problem

Problem WheatstoneBridge
Constants
e: Voltage = 50;

Variables

Elements

Gen : VSource(e);
S : WheatstoneSys(Gen);

Properties
S.Ammeter.I = 0.0;
S.Ammeter.Pin.V = S.Ammeter.Pout.V;

End

Compiling and solving the problem

After opening the Wheatstone.proj project file in DEPS Studio, we can compile the project (project > build the problem).

Then the problem can be solved (Solve > Firts Solution).