Saturday
April 19, 2014

Homework Help: Differential Equations

Posted by mrexp21 on Saturday, November 5, 2011 at 8:57am.

Question 1

A particle moves on the x-axis with an acceleration , a=(6t-4)ms^-2 . Find the position and velocity of the particle at t=3 , if the particle is at origin and has a velocity of 10ms^-1 when t=0 by using either the method of undetermined coefficient or Laplace Transform .


Question 2

The series circuit consists of an electromotive force which is supplied by a battery 12-V, a resistor with R=20ohm , an inductor with L=1H , and a capacitor with C=0.002F . Given
that the current , I is the rate of change of the capacitor Q with respect to t . It is known that
the voltage drops across the resistor, capacitor and inductor are RI , Q/C and L dI/dT respectively. By using Kirchhoff’s voltage law L dI/dT + RI + Q/C = E(t) where E(t) s the
supplied voltage and the initial charge and current are both 0, determine :

a) The charge , Q at the time , t .

b) The charge , Q at the time , t if the battery is replaced by a generator producing a voltage of E(t)=12sin10t

Please help me to solve this equation...

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

differential equation or physics - A particle moves on the x-axis with an ...
calculus - a particle moves along the x-axis (units in cm) its initial position ...
physics emergerncyy! - A particle of mass m1 = 2.5 kg moving along the x axis ...
Physics - In the figure, particle A moves along the line y = 26 m with a ...
physics - In the figure, particle A moves along the line y = 29 m with a ...
physics - A particle moves along the y axis according to y(t)=(3.5 m/s^2)t^2 - (...
Physics - A particle leaves the origin with a velocity of 7.2 m/s in the ...
Calculous - A particle moves along the c-axis so that at time t its position is ...
Physics - particle A moves along the line y = 30m with a constant velocity of ...
Diff eqn- IVP - A particle moves on the x-axis with an acceleration, a=(6t-4)ms...

Search
Members