calculate for V(t) ?? The switch in the circuit of Figure 1 has been in position A
Fantastic news! We've Found the answer you've been seeking!
Question:
calculate for V(t)
??
Transcribed Image Text:
The switch in the circuit of Figure 1 has been in position A for a long time. At t=0, it is moved to position B. The resulting step response of the series RLC circuit is described by the second-order differential equation (1). R L B A (T) c=v Figure 1 d²v R dv V V₂ + + dt² L dt LC LC (1) The solution to equation (1) has two components: the transient response v₂(t) and the steady state response, Vss(t). v(t) = V:(t) + Vss(t) The transient response v.(t) is the same as that for the source-free case : v, (t) = A₁e¹ + A₂e³¹¹ = (A₁ + A₂t)e- = e(A₁ cos@at + A₂ sin wat) R where a == 21 1 √LC @₁ = √²-a² @= and = @C for a> (overdamped) for a wo (critically damped) for a B. Obtain a complete expression for v(t) in the circuit of Figure 1, if V DC 6V, R = 1kQ, C = 10nF, and L= 110mH. The switch in the circuit of Figure 1 has been in position A for a long time. At t=0, it is moved to position B. The resulting step response of the series RLC circuit is described by the second-order differential equation (1). R L B A (T) c=v Figure 1 d²v R dv V V₂ + + dt² L dt LC LC (1) The solution to equation (1) has two components: the transient response v₂(t) and the steady state response, Vss(t). v(t) = V:(t) + Vss(t) The transient response v.(t) is the same as that for the source-free case : v, (t) = A₁e¹ + A₂e³¹¹ = (A₁ + A₂t)e- = e(A₁ cos@at + A₂ sin wat) R where a == 21 1 √LC @₁ = √²-a² @= and = @C for a> (overdamped) for a wo (critically damped) for a B. Obtain a complete expression for v(t) in the circuit of Figure 1, if V DC 6V, R = 1kQ, C = 10nF, and L= 110mH.
Expert Answer:
Answer rating: 100% (QA)
Given for teo i 0 0 f V I0 0 for t20 the Ciruit would be ... View the full answer
Related Book For
Physics for Scientists and Engineers A Strategic Approach with Modern Physics
ISBN: 978-0133942651
4th edition
Authors: Randall D. Knight
Posted Date:
Students also viewed these mechanical engineering questions
-
V & T Faces, Inc., would like to open a retail store in Miami. The initial investment to purchase the building is $420,000, and an additional $50,000 in working capital is required. Since this store...
-
T : U V and S : V W are linear transformations and B, C, and D are bases for U, V, and W, respectively. Compute [S T] DB in two ways: (a) by finding S T directly and then computing its matrix and...
-
Calculate v and i x in the circuit of Fig. 2.79. + 16 V- 12 2 ww +v- 3ix 4 V 10 V (+1)
-
Jim Redman purchased a car from Bill Branch Chevrolet. However, the car had been reported stolen and Jim was unable to secure a good title. Redman sued Bill Branch Chevrolet on the breach of the...
-
Jackson Publishing, Inc. (JPI), publishes two newspapers and, until recently, owned a professional baseball team. The baseball team had been losing money for several years and was sold at the end of...
-
The Excel file EEO Employment Report shows the number of people employed in different professions for various racial and ethnic groups. Find the proportion of men and women in each ethnic group for...
-
Information from Razure Adventures Companys financial statements for the current year are provided in the Working Papers. Work independently to complete the following problem. 1. Calculate the...
-
Inferring cash flows from financial statement data Exhibit 5.24 presents data from the financial statements for Heidi's Hide-Out, a bar and Video-game club, with private party rooms for rent Heidi's...
-
The table shows total hospital production, total fixed cost and total variable cost at different levels of production. Marginal cost of production when hospital production increases from 20,000 days...
-
Figure P3.14 shows three physical situations; show the possible process in a Pv diagram. Po m, "p R-410a (a) (b) (c) FIGURE P3.14
-
QUESTION 8 (5 MARKS) As a labour economist consulting for a state government, you are evaluating the elasticity of labour demand for public school teachers and nurses amid budget constraints. Your...
-
7. a) Find the divergence of the vector field G(x, y, z) = ei +ln(xy)j +exyz kat (0,2,-3). (3 marks) b) Find the curl of the vector field V(x,y,z) = (xyz)i + (3xy)j + (xz - yz) k at (2,-1,1). (4...
-
c) Describe the operation of thermodynamic systems and their properties. Include labelled schematics with a brief definition of the purpose of each component and system presented. Provide a practical...
-
2. A container weighs 640 lb. The container will be used to drop supplies into a remote area. Assume the initial velocity of the container is zero as it is dropped from a plane. The container is...
-
write a project Essay about microeconomics.? Quantity demanded: Determinants of demand Shifts in demand curve, etc. Demand for another product: Quantity demanded Determinants of demand Shifts in...
-
3 Consider the following possible alternatives to the vector norms we encountered in the notes. For each, state whether the proposed definition satisfies the conditions of a norm or not. If it does,...
-
Which one of the following is not a temporary entry into Canada? A. E29B B. 1/60th C. A.T.A. Carnet D. T.I.E. Bond
-
Ex. (17): the vector field F = x i-zj + yz k is defined over the volume of the cuboid given by 0x a,0 y b, 0zc, enclosing the surface S. Evaluate the surface integral ff, F. ds?
-
What are (a) W out and Q H (b) The thermal efficiency for the heat engine shown in FIGURE EX21.13? p (kPa) 400 Q = -90 J 200 Q =-25 J V (cm) 0- 100 200 FIGURE EX21.13
-
A starship approaches its home planet at a speed of 0.10c. When it is 54 10 6 km away, it uses its green laser beam ( = 540 nm) to signal its approach. a. How long does the signal take to travel to...
-
A ball rolls along the smooth track shown in FIGURE P2.43. Each segment of the track is straight, and the ball passes smoothly from one segment to the next without changing speed or leaving the...
-
The comparative financial statements for CyberOptic Corporation are in the Working Papers. The financial statements have been completed up to the trend analysis section. The following information is...
-
The comparative financial statements for CyberOptic Corporation are in the Working Papers. The financial statements have been completed up to the comparative analysis section. Instructions: 1....
-
Use the comparative statements from Application Problem 17-1 to complete this problem. Instructions: 1. Based on CyberOptic's comparative financial statements prepared in Application Problem 17-1 and...
Study smarter with the SolutionInn App