Using Laplace transforms calculate the i(t) and the v(t) for the following circuit.

Using Laplace transforms calculate the i(t) and the v(t) for the following circuit. iCt) 3Ω 1...
also, please solve for Vc(t) using laplace transforms
For the following circuit, solve for ve(t). 21 pts 8. 10 0.IF E SH t (o) 2. S pts) (a) Draw the Laplace circuit. List 2-3 methods for solving the circuit, choose one, and briefly indicate why. 의m
5) Solve the following equation for f(t), t> 0, using Laplace transforms.
5) Solve the following equation for f(t), t> 0, using Laplace transforms.
1) (40 pts total) Solving and order ODE using Laplace Transforms: Consider a series RLC circuit with resistor R, inductor L, and a capacitor C in series. The same current i(t) flows through R, L, and C. The voltage source v(t) is removed at t=0, but current continues to flow through the circuit for some time. We wish to find the natural response of this series RLC circuit, and find an equation for i(t). Using KVL and differentiating the equation...
5. Determine v, and i, in the following circuit using direct method. 3Ω 4Ω 4 A 30V+
+ V - 1) Considering the circuit, using Laplace: Find (V(t)). Find Ir(t). 1(] 1 [H] € 1 114) 20.5[n] Ž 2[n]
Calculate the Laplace transforms of the following functions using the integral definition: 1. f(t) 4 .0535 0, t>3 1, t21 4. 5, f(t) = e4t f th. following functions
1. Find the Laplace transforms of these functions: r(t) = tu(t), that is, the ramp function; Ae-atu(t); Be atu(t). 2. Determine the Laplace transform of f(t) = 50cos ot u(t). 3. Obtain the Laplace transform of f(t) = (cos (2t) + e 41) u(t). 4. Find the Laplace transform of u(t-2). 5. Find vo(t) in the circuit shown below, assuming zero initial conditions. IH F + 10u(i) 42 v. (1)
ment Chapter 13, Problem 13.62 (Circuit Solution) The switch in the circuit in the figure below opens at t - 0. Find i() for t>0 using Laplace transforms. r- o 4 0 3Ω i(0) 3Ω 12V (+ 9 0 4 H Find (t) at t1s the tolerance is +/-296 Click if you would like to Show Work for this question: Open Show Work
Laplace Transforms can be helpful in determining circuit currents and voltages with initial conditions. Discuss and compare the equivalent circuit models for inductor and capacitor with initial conditions. i. [15 marks] ii. For the circuit in Figure Q2 and determine the current, i(t). [20 marks] liſt) 612 612 692 WWW t = 0 ele 10 V 30 V +
3. Using Laplace transforms, find (t) such that