Question: The differential equations for the charge q ( t ) in an LRC circuit is L q ' ' ( t ) + R q

The differential equations for the charge q(t) in an LRC circuit is
Lq''(t)+Rq'(t)+q(t)C=V(t).
Find the charge and current in an LRC circuit with L=1H,R=2Ohm,C=0.25F and V=
50cos(t) volts, if q(0)=0,C and i(0)=0A.
The differential equations for the charge q(t) in an LRC circuit

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Chemical Engineering Questions!

Q:

V C R E An R-C series circuit consists of a capacitor with capacitance, C, connected in series with a resistor with resistance, R. The resistance, R, is a circuit parameter that opposes the amount of...

Q:

Problem 1 Consider an LC circuit. Assume that at time t = 0, the capacitor has charge Q. C HH L 0000 (a) Using Kirchoff's Laws, write down a differential equation for the charge q in the circuit. (b)...

Q:

Consider the series circuit in Figure 2. 7 with \(L=1.00 \mathrm{H}, R=1.00 \times 10^{2}\) \(\Omega, C=1.00 \times 10^{-4} \mathrm{~F}\), and \(V_{0}=1.00 \times 10^{3} \mathrm{~V}\). a. Set up the...

Q:

The system of differential equations for the charge on the capacitor q (t) and the current 13(t) in the electrical network shown below is R E R R+q+Rl3 = E(t) 196 +Ri3-q=0 dt Find the charge on the...

Q:

The differential equation for the instantaneous charge q() on the capacitor in an LRC series circuit given in the following figure: VE Figure Q2: LRC series circuit is represented by: do R Q= E(:)...

Q:

University Physics II Experiment 5: RC Circuits Objective: We have assumed that emf and resistances are constant, so that the potentials, currents, and powers are time independent. When looking at...

Q:

The differential equation for the instantaneous charge q() on the capacitor in an LRC series circuit given in the following figure VE Figure Q2: LRC series circuit is represented by: + R do dt Q=...

Q:

An circuit consists of a resistor (resistance R), inductor (inductance L), and capacitor (capacitance C) connected in series with an AC source supplying sinusoidal voltage Vo cos(wt). Assume that all...

Q:

Here is a schematic sketch of the RC circuits we will be considering in this lab. The switch allows us to charge the capacitor (when the switch is closed to the a-b position) or discharge the...

Q:

E-Tutorial Physics Book Note: I have attached below the lesson for the two (2) activities. Thank you. Activity 1. Directions: Look at each circuit below and show the solution using Kirchhoff's Rules...

Q:

You are the manager of a firm that sells its output in a competitive market at a price of $50. Your firm's cost function is TC = $40 + $5Q2. The profit-maximizing output for your firm is: Continuing...

Q:

A public company issues new shares must get ready a prospectus which must be registered with the Securities Commission Malaysia. The board of directors, headed by Godin, approved the prospectus to be...

Q:

Carlberg Comparty has two manufacturing departments, Assembly and Painting. The Assembly department started 1 0 , 0 0 0 units during November. The following production activity in both units and...

Q:

Which of the following are problems with identifying users of ABC? Multiple select question. ABC means different things to different organizations. Organizations will announce the discontinuance of...

Q:

6. How do histories influence the process of identity formation?

Q:

4. What factors in your experience have led to the development of positive feelings about your own cultural heritage and background? What factors have led to negative feelings, if any?

Q:

3. How do you benefit or have been disenfranchised in the telling of certain histories? How do you take responsibility for the histories from which you benefit?