Question: b) The differential equation dq? bp + R dt dt2 3 E(t) %3D describes an electrical circuit where q(t) is the charge in coulombs

b) The differential equation dq? bp + R dt dt2 3 E(t)

%3D describes an electrical circuit where q(t) is the charge in coulombs

b) The differential equation dq? bp + R dt dt2 3 E(t) %3D describes an electrical circuit where q(t) is the charge in coulombs on a capacitor with capacitance C (farad) at time t (second), L inductance (henry), R resistance (ohm), and E(t) electromotive force (volt). Given that L = 2, R = 24, C = 0.005, and E(t) = 12. Find q(t) if the initial charge is q = 0.001 and the initial current is zero. Describe i(t) and q(t) when t o. dq, (Note: Current, i = (8 marks) dt

Step by Step Solution

★★★★★

3.39 Rating (143 Votes )

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 Mathematics Questions!

A circuit consists of a capacitor with capacitance C and a coil of inductance L connected in series, as well as a switch and a resistance equal to the critical value for this circuit. With the switch...

A circuit consisting of a capacitor with capacitance C and a resistance R connected in series was connected at the moment t = 0 to a source of ac voltage V = Vm cos cot. Find the current in the...

A series circuit consisting of a capacitor with capacitance C = 22F and a coil with active resistance R = 20 and inductance L = 0.35H is connected to a source of alternating voltage with amplitude Vm...

Q Q 1. (07.01 MC) A heat source is applied to a metal surface, causing the temperature of the metal to increase with respect to time at a rate that is proportional to the sum of the metal's...

In order to calculate a performance index, specifically Cp, what two facts must be known about the process? The specification limits and the standard deviation The specification limits, process...

Please use the second method to solve number three and show work Here are two methods for solving the differential equation dy = +1. = 1. dt 3' Jv'o a Solve the homogeneous equation :15 = y. Don't...

The main appeal of VSEPR is its simplicity. Consider the experimental data, VSEPR predictions, and WebMO calculation results for formamide. Based on your answers to parts b, c, and d of this...

buckley (jdb4687) - HW06 - beshaj - (53521) This print-out should have 32 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001 003 2...

It is a dark and stormy night. As a Dispatcher, you receive a call on the company's cell phone that "Your Lear 60 had an accident at Lake Tahoe". As the company dispatcher, what are your sequence of...

matlab pendulumPlot.m 2 Ordinary differential equations 2.1 Projectile with drag Recall the motion of a projectile calculated in Lab2 2 which corresponds to the (uncoupled set of) differential...

A baseball team plays in a stadium that holds 48000 spectators. With the ticket price at $11 the average attendance has been 20000. When the price dropped to $8, the average attendance rose to 24000....

Is the following statement true or false? Why? "Department indirect-cost rates are never activity-cost rates." A) False, department indirect-cost rates are similar to activity-cost rates if...

15 Gerry's electric toothbrush rotates the brush 125 times per second. Gerry brushes her teeth for two minutes, twice a day. How many rotations does her electric toothbrush make in one week? Give...

1. Use the design procedure of combinational circuit to implement Two Way Switched Bulb. 2. Use Verilog Code and design a test bench to show the input conditions needed to produce x = 1 in Figure...

A project manager and team from a firm that designs medical aids equipment are tasked to design a machine to pack the equipment. The design allows for five percent rework , amounting to over 2...

9.What is a Gini coefficient? How can this coefficient be used to determine the impact of taxes on income distribution?

1. How many pizzas can you anticipate selling assuming that 20% of the attendees will buy a pizza? 2. How much of each raw material do you need to buy? 3. Calculate your Cost of Goods per pizza...

Describe the 5 steps involved in workforce planning. (100 words)

Respond to the following statements to indicate if they are True or False. Please respond as per your state or territory legislation. A security officer can arrest on suspicion or on the say-so of...

Please help me with the answers 1. Consider the following differential equation 1 y = 1 + 2ex Ty Select the TRUE statement below. (a) This differential equation is a first-order linear equation, but...

Four thousand dollars is deposited into a savings account at 4.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t years? (b) What differential equation is...

Five thousand dollars is deposited into a savings account at 7.5% interest compounded continuously. A. what is the formula for A(t), the balance after t years. B. what differential equation is...

could use some help with these please and thank you. 4. Determine the growth constant, k, of a population that is growing at a rate proportional to its size, where the population doubles every 2...

please help me step by step so I get this down on homework and understand before my test Two thousand dollars is deposited into a savings account at 4.5% interest compounded continuously. (a) What is...

E Test: Chapter 5 Test Question list 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 I? Find the anlidelivative utthe given derivative do (X +...