GATE EC 2013 Question Paper (10-Feb-2013) (Shift 2)

The current in the 1Ω resistor in Amps is

The angle of incidence θᵢ and the expression for ${\overrightarrow{E}}_i$ are

The expression for ${\overrightarrow{E}}_r$ is

State diagram of a system is shown below. A system is described by the state variable equations

$\dot{X}=AX+BU;Y=CX+DU$



State variable equation of the system shown in figure above are

State diagram of a system is shown below. A system is described by the state variable equations

$\dot{X}=AX+BU;Y=CX+DU$



State transition matrix $e^{At}$ of the system shown in the figure is