Question: The equation di/dt^2+R/L di/dt + 1/LCi=0 represents a current i flowing in an electrical circuit containing resistance R, inductance L and capacitance C connected

The equation di/dt^2+R/L di/dt + 1/LCi=0 represents a current i flowing in

The equation di/dt^2+R/L di/dt + 1/LCi=0 represents a current i flowing in an electrical circuit containing resistance R, inductance L and capacitance C connected in series. If R=200ohms. L=0.20 henry and C=20 x 10-farads, solve the equation for i given the boundary conditions that di when 1=0,i=0 and dr = 100.

Step by Step Solution

★★★★★

3.45 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detailed ... View full answer

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 Mathematics Questions!

A torsion-bar spring consists of a prismatic bar, usually of round cross section, that is twisted at one end and held fast at the other to form a stiff spring. An engineer needs a stiffer one than...

An infinitely long wire with a current I flowing in it is located in the boundary plane between two non-conducting media with permeabilities 1 and 2. Find the modulus of the magnetic induction vector...

A capacitor is a device in an electrical circuit that stores charge. In one particular circuit, the charge on the capacitor Q varies in time as shown in the figure. a. At what time is the rate of...

An electrical circuit consists of a resistance R, inductance L and capacitance C is series. If a charge is put on the capacitor at some instant, determine the condition that VC, the voltage across...

An alternating emf of Esint volts is supplied to a circuit containing an inductor of L henrys, a resistor of R ohms and a capacitor of C farads in series. The differential equation satisfied by the...

questions are split now please help solve them please Question 43 Given P(I) = c' + x2 + 25x + 25, find the zeros, real and non-real of P The zeros are Write P in factored form (as a product of...

Compute the coefficients for a least squares regression equation and write the equation, given the following sample statistics. a. x-bar = 50, y-bar = 100, sx = 25, sy = 75, rxy = 0.6, n = 60 b....

Use your ordered solution obtained in Exercise 31 to solve this exercise. If construction limits z to 4 cars per minute, how many cars per minute must pass between the other intersections to keep...

In Problems 70 through 73 you are given the equation (or equations) used to solve a problem. For each of these, you are to a. Write a realistic problem for which this is the correct equation. The...

Reaction rates inside a spherical isothermal porous catalyst particle depend on the rate of diffusion and the kinetics. When the reaction is fast compared to the diffusion, e.g. at higher...

Consider heat conduction in a uniaxial rod surrounded by a fluid. The left end of the rod is at $T_{0}$. The free stream temperature is $T^{\infty}$. There is convective heat transfer across the...

1. A large increase in the number of fast-food restaurants in a community is most likely to result in: O Lower prices and higher quality. Lower prices and lower quality. Higher prices and higher...

A 5-year annuity of 10 $9,000 semiannual payments will begin 9 years from now, with the first payment coming 9.5 years from now. If the discount rate is 11 percent compounded semiannually, what is...

Delta corporation establishes a Non - qualified retirement plan for it Chief Executive Officer, age 4 5 . The plan provides that if the CEO stays until December 3 1 of the current year, it will place...

Non-communicable diseases (NCDS) are caused by a. Genetic causes b. Environmental conditions c. Life style such as nutrition d. All answers correct

e. A basic objective of a CPA firm is to provide professional services that conform with professional standards. Reasonable assurance of achieving this basic objective is provided through: (1)...

This year, Sigma Inc. generated $636,000 income from its routine business operations. In addition, the corporation sold the following assets, all of which were held for more than 12 months. Initial ....

REQUIRED Set up the income statement, statement of retained earnings and balance sheet for Tater and Tot in work paper format for later consolidation. Make sure your statements BALANCE before you go...

In Section 30.5 Kirchhoffs loop rule is applied to an L-C circuit where the capacitor is initially fully charged and the equation -L (di/dt) - (q/C) = 0 is derived. But as the capacitor starts to...

The spread of a fungal disease through an orchard containing 2 0 0 trees is modeled by the following SIRS model d S d t = 1 1 0 0 R - 1 8 0 0 S I d R d t = 1 8 I - 1 1 0 0 R ( a ) Write down the...

Equation (31.9) says that v ab = L di/dt (see Fig. 31.8a). Using Faradays law, explain why point a is at higher potential than point b when i is in the direction shown in Fig. 31.8a and is increasing...

codes for this problem: ____________________________________________________________________________ CODE 1: function sid_determ % Simulation of a deterministic SIRD model using a differential %...

The power P (watts) of an electric circuit is related to the circuits resistance R (ohms) and current I (amperes) by the equation P = RI 2 . a. How are dP/dt, dR/dt, and dI/dt related if none of P,...

1 5. Figure 1 shows an electricity circuit with voltage, V, current, I and resistor, R which are related by VIR. Let V increase at the rate of 1 volt per second, and I decreases at the rate of amp....