From Kirchhoff's law the current / in an RC (resistance-capacitance) circuit obeys the equation dl Rª -1=0. (a) Find 1(1). (b) For a capacitance of 10,000 microfarads charged to 100 volts and discharging through a resistance of 1 mega-ohm, find the current / for 1-0 and 1-100 seconds.
From Kirchhoff's law the current / in an RC (resistance-capacitance) circuit obeys the equation dl Rª -1=0. (a) Find 1(1). (b) For a capacitance of 10,000 microfarads charged to 100 volts and discharging through a resistance of 1 mega-ohm, find the current / for 1-0 and 1-100 seconds.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
need p1 answer
![1.
2.
3.
4.
5.
6.
Theoretical Physics
Assignment 3 (Deadline: 20 Oct 2014)
From Kirchhoff's law the current / in an RC (resistance-capacitance) circuit obeys the equation
1
-I=0.
RdI
dt C
(a) Find I(1).
(b) For a capacitance of 10,000 microfarads charged to 100 volts and discharging through a
resistance of 1 mega-ohm, find the current I for 1-0 and 1-100 seconds.
Note: The initial voltage is IR or Q/C, where Q=SI(1)dt.
The motion of a body falling in a resisting medium may be described by
dv
m=mg-bv
dt
when the retarding force is proportional to the velocity, v. Find the velocity. Evaluate the
constant of integration by demanding that v(0)=0.
Verify that
g(0)
k² + f(r)+:
V²y(r.0.9)+[k²+,
y(r.0.9)=0
is separable (in spherical polar coordinates). The function f, g and are functions only the
variables indicated; k² is a constant.
Transform our linear, second-order, differential equation
y" + P(x)y' +Q(x)y=0
h(pp)
r² sin² 0
by the substitution y=ze
for z is
= z exp[-¦ [*P(t)dt]and show that the resulting differential equation
z"+q(x)z=0
where q(x) = Q(x)- P(x)-P²(x).
Show, by means of the Wronskian, that a linear, second-order, homogeneous, differential
equation of the form
y"(x)+ P(x)y'(x)+Q(x) y(x)=0
can not have three independent solutions. (Assume a third solution and show that the Wronskian
vanishes for all .x.)
Given that one solution of
R+ R'- R=0
r
is R=r", show that Eq. (3.56) predicts a second solution, R=r™".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10862f3f-ddf0-4895-9606-064f61dc1704%2Ff554bb75-89c9-4b2a-97cd-1fe0504e835d%2F2p9p7q_processed.png&w=3840&q=75)
Transcribed Image Text:1.
2.
3.
4.
5.
6.
Theoretical Physics
Assignment 3 (Deadline: 20 Oct 2014)
From Kirchhoff's law the current / in an RC (resistance-capacitance) circuit obeys the equation
1
-I=0.
RdI
dt C
(a) Find I(1).
(b) For a capacitance of 10,000 microfarads charged to 100 volts and discharging through a
resistance of 1 mega-ohm, find the current I for 1-0 and 1-100 seconds.
Note: The initial voltage is IR or Q/C, where Q=SI(1)dt.
The motion of a body falling in a resisting medium may be described by
dv
m=mg-bv
dt
when the retarding force is proportional to the velocity, v. Find the velocity. Evaluate the
constant of integration by demanding that v(0)=0.
Verify that
g(0)
k² + f(r)+:
V²y(r.0.9)+[k²+,
y(r.0.9)=0
is separable (in spherical polar coordinates). The function f, g and are functions only the
variables indicated; k² is a constant.
Transform our linear, second-order, differential equation
y" + P(x)y' +Q(x)y=0
h(pp)
r² sin² 0
by the substitution y=ze
for z is
= z exp[-¦ [*P(t)dt]and show that the resulting differential equation
z"+q(x)z=0
where q(x) = Q(x)- P(x)-P²(x).
Show, by means of the Wronskian, that a linear, second-order, homogeneous, differential
equation of the form
y"(x)+ P(x)y'(x)+Q(x) y(x)=0
can not have three independent solutions. (Assume a third solution and show that the Wronskian
vanishes for all .x.)
Given that one solution of
R+ R'- R=0
r
is R=r", show that Eq. (3.56) predicts a second solution, R=r™".
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON