Question

Suppose L=20 henrys, R = 10 ohms, C = 1/200 farads, E = 50 volts, q(0)...

Suppose L=20 henrys, R = 10 ohms, C = 1/200 farads, E = 50 volts, q(0) = 12 coulombs, and q'(0) = l(0) = 0. Formulate and solve an initial value problem that models the given LRC circuit.

q(t) = ?

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
[Series circuit analogue: RLC circuit with nonzero resistance R and nonzero voltage E(t) as forcing function...
[Series circuit analogue: RLC circuit with nonzero resistance R and nonzero voltage E(t) as forcing function is analogous to a forced damped spring/mass system.] Consider the RLC circuit with inductance L = 8 henrys, resistance R = 16 ohms, capacitance C = 0.025 farads, and voltage E(t) = 17 cos 2t volts. (a) Find the current in the circuit for t > 0, given that at time t = 0 the capacitor is uncharged and there is no current flowing....
A RLC circuit, L=1H, C=0.002F, R=5 ohm q(0)=0, i(0)=0 E(t)=10-10u(t-0.5) Find q(t) using Laplace transform
A RLC circuit, L=1H, C=0.002F, R=5 ohm q(0)=0, i(0)=0 E(t)=10-10u(t-0.5) Find q(t) using Laplace transform
1. Set L = 5 mH, C = 8 µF, R = 0 Ω, and Q...
1. Set L = 5 mH, C = 8 µF, R = 0 Ω, and Q = 2E-6 C. Measure the maximum current through the circuit, and the period of the oscillation. Now increase the inductance of the inductor by 50% to 7.5 mH calculate max current = ________ A   period T = ________ s. 2. Reset to L = 5 mH, C = 8 µF, keep R = 0 Ω, and Q = 2E-6 C. Keeping the charge on the...
1. Suppose a short-run production function is described as Q = 2L – (1/800)L^2 where L...
1. Suppose a short-run production function is described as Q = 2L – (1/800)L^2 where L is the number of labors used each hour. The firm’s cost of hiring (additional) labor is $20 per hour, which includes all labor costs. The finished product is sold at a constant price of $40 per unit of Q. a. How many labor units (L) should the firm employ per hour b. Given your answer in a, what is the output (Q) per hour...
1. Solve the following IVP's given the initial conditions: a) y'(t) - 10(√t)y(t) = e(20/3)(t^3/2) ;...
1. Solve the following IVP's given the initial conditions: a) y'(t) - 10(√t)y(t) = e(20/3)(t^3/2) ; y(0) = 2 b) x' - 2x = (et)(cos(t)) ; x(0) = 5 c) dx/dt + (1/t)x = ln(t) ; x(1) = 1/2
1. Consider the following demand and supply curves: P 20 18 16 14 Q 0 1...
1. Consider the following demand and supply curves: P 20 18 16 14 Q 0 1 2 3 P 2 3 4 5 Q 0 1 2 3 a. What is the equation of this demand function? b. What is the equation of this supply function? c. Solve for equilibrium price and quantity. D. The market demand and supply for jet fuel is provided by the following functions: Qd = 140 - P Qs = -160 + 4P Where: P=...
Week 2 HW: Elasticity Step 1 - E L A S T I C or INELASTIC?...
Week 2 HW: Elasticity Step 1 - E L A S T I C or INELASTIC? Price Elasticity of Demand is a measure of how responsive demand is to a change in price. If a price change leads to a considerably bigger change in quantity demanded, we would consider the good to be responsive to a price change—hence elastic. If, however, a similar price change leads to a much smaller change in demand, we would consider it inelastic. To get...
1) State the main difference between an ODE and a PDE? 2) Name two of the...
1) State the main difference between an ODE and a PDE? 2) Name two of the three archetypal PDEs? 3) Write the equation used to compute the Wronskian for two differentiable functions, y1 and y2. 4) What can you conclude about two differentiable functions, y1 and y2, if their Wronskian is nonzero? 5) (2 pts) If two functions, y1 and y2, solve a 2nd order DE, what does the Principle of Superposition guarantee? 6) (8 pts, 4 pts each) State...
6.7 The production function Q=KaLb where 0≤ a, b≤1 is called a Cobb-Douglas production function. This...
6.7 The production function Q=KaLb where 0≤ a, b≤1 is called a Cobb-Douglas production function. This function is widely used in economic research. Using the function, show the following: a. The production function in Equation 6.7 is a special case of the Cobb-Douglas. b. If a+b=1, a doubling of K and L will double q. c. If a +b < 1, a doubling of K and L will less than double q. d. If a +b > 1, a doubling...
6) (8 pts, 4 pts each) State the order of each ODE, then classify each of...
6) (8 pts, 4 pts each) State the order of each ODE, then classify each of them as linear/nonlinear, homogeneous/inhomogeneous, and autonomous/nonautonomous. A) Unforced Pendulum: θ′′ + γ θ′ + ω^2sin θ = 0 B) Simple RLC Circuit with a 9V Battery: Lq′′ + Rq′ +(1/c)q = 9 7) (8 pts) Find all critical points for the given DE, draw a phase line for the system, then state the stability of each critical point. Logistic Equation: y′ = ry(1 −...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT