Write the governing equation in terms of the electric charge q.

 

Consider the RLC circuit in Problem 11.

a. Write the governing equation in terms of the electric charge q.

b. Assuming initial conditions are q(0) = 0, (0) = 1, plot and versus (same figure) when the applied voltage vis a unit impulse.

 

PROBLEM 11 The governing equation for an RLC circuit driven by the applied voltage va(t) is derived as

 

where = 4 H, = 4 Ω, and =  F.

a. Write the governing equation in terms of the electric charge q.

b. Assuming zero initial conditions, plot and versus (same figure) when the applied voltage va is a unit impulse.

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erive the differential equations in terms of the liquid heights h1 and h2.

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Derive the differential equation relating the liquid height h and the volume flow rate qi at the inlet.

  Consider the single-tank liquid-level system shown in Figure 7.19, where the volume flow rate into the tank through a pipe is qi. The liquid leaves the tank through an orifice….

Derive the differential equations in terms of the liquid heights h1 and h2.

Figure 7.20 shows a hydraulic system of two interconnected tanks that have the same cross-sectional area of A. A pump is connected to tank 1. Assume that the relationship between the….