--- /dev/null
+\begin{problem*}{34}
+Point charge $q_1=-5.00\U{nC}$ is at the origin and point charge
+$q_2=+3.00\U{nC}$ is on the $x$-axis at $x=3.00\U{cm}$. Point $P$ is
+on the $y$-axis at $y=4.00\U{cm}$. \Part{a} Calculate the electric
+fields $\vec{E}_1$ and $\vec{E}_2$ at point $P$ due to charges $q_1$
+and $q_2$. Express your results in terms of unit vectors (see Example
+21.6). \Part{b} Use the results of \Part{a} to obtain the resultant
+field at $P$, expressed in unit vector form.
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{47}
+Three negative point charges lie along a line as shown in Fig.~21.40.
+Find the magnitude and direction of the electric field this
+combination of charges produces at point $P$, which lies $6.00\U{cm}$
+from the $-2.00\U{$\mu$C}$ charge measured perpendicular to the line
+connecting the three charges.
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{72}
+A charge $q_1=+5.00\U{nC}$ is placed at the origin of an
+$xy$-coordinate system, and a charge $q_2=-2.00\U{nC}$ is placed on
+the positive $x$-axis at $x=4.00\U{cm}$. \Part{a} If a third charge
+$q_3=+6.00\U{nC}$ is now placed at the point $x=4.00\U{cm}$,
+$y=3.00\U{cm}$, find the $x$- and $y$-components of the total force
+exerted on this charge by the other two. \Part{b} Fund the magnitude
+and direction of this force.
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{74}
+Two identical spheres with mass $m$ are hung from silk threads of
+length $L$ as shown in Fig.~21.44. Each sphere has the same charge,
+so $q_1=q_2=q$. The radius of each sphere is very small compared to
+the distance between the spheres, so they may be treated as point
+charges. Show that if the angle $\theta$ is small, the equilibrium
+separation $d$ between the spheres is
+$d=(q^2L/2\pi\vareplison_0mg)^{1/3}$. (Hint: If $\theta$ is small,
+then $\tan\theta\approx\sin\theta$.)
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{76}
+Two identical spheres are each attached to silk threads of length
+$L=0.500\U{m}$ and hung from a common point (Fig.~21.44). Each sphere
+has a mass $m=8.00\U{g}$. The radius of each sphere is very small
+compared to the distance between the spheres, so they may be treated
+as point charges. One sphere is given positive charge $q_1$, and the
+other a diferent positive charge $q_2$; this causes the spheres to
+separate so that when the spheres are in equilibrium, each thread
+makes an angle $\theta=20.0\dg$ with the vertical. \Part{a} Draw a
+free-body diagram for each sphere when in equlibrium, and label all
+the forces that act on each sphere. \Part{b} Determine the magnitude
+of the electrostatic force that eacts on each sphere, and determine
+the tension in each thread. \Part{c} Based on the information you
+have been given, what can you say about the magnitudes of $q_1$ and
+$q_2$? Explain your answers. \Part{d} A small wire is now connected
+between the spheres, allowing charge to be transferred from one sphere
+to the other until the two spheres have equal charges; the wire is
+then removed. Each thread now makes an angle of $30.0\dg$ with the
+vertical. Determine the original charges. (Hint: The total charge on
+the pair of spheres is conserved).
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{81}
+Imagine two $1.0\U{g}$ bags of protons, one at the earth's north pole
+and the other at the south pole. \Part{a} How many protons are in
+each bag? \Part{b} Calculate the gravitational attraction and the
+electrical repulsion that each bag exerts on the other. \Part{c} Atre
+the forces in \Part{b} large enough for you to feel if you were
+holding one of the bags?
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{16}
+A solid metal sphere with radius $0.450\U{m}$ carries a net charge of
+$0.250\U{nC}$. Find the magnitude of the electric field \Part{a} at a
+point $0.100\U{m}$ outside the surface of the sphere and \Part{b} at a
+point inside the sphere, $0.100\U{m}$ below the surface.
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{18}
+Some planetary scientists have suggested that the planet Mars has an
+electric field somewhat similar to that of the earth, producing a net
+electric flux of $3.63\E{16}\U{N$\cdot$m$^2$/C}$ at the planet's
+surface. Calculate: \Part{a} the total electric charge on the
+planet; \Part{b} the electric field at the planet's surface (refer to
+the astronomical data inside the back cover); \Part{c} the charge
+density on Mars, assuming all the charge is uniformly distributed over
+the planet's surface.
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{23}
+A hollow, conducting sphere with an outer radius of $0.250\U{m}$ and
+an inner radius of $0.200\U{m}$ has a uniform surface charge density
+of $+6.37\E{-6}\U{C/m$^2$}$. A charge of $-0.500\U{$\mu$C}$ is now
+introduced into the cavity inside the sphere. \Part{a} What is the
+new charge density on the outsize of the sphere? \Part{b} Calculate
+the strength of the electric field just outside the sphere. \Part{c}
+What is the electric flux through the spherical surface just inside
+the inner surface of the sphere?
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{25}
+The electric field at a distance of $0.145\U{m}$ from the surface of a
+solid insulating sphere with a radius $0.355\U{m}$ is
+$1750\U{N/C}$. \Part{a} Assuming the sphere's charge is uniformly
+distributed, what is the charge density inside it? \Part{b} Calculate
+the electric field inside the sphere at a distance of $0.200\U{m}$
+from the center.
+\end{problem*}
+
+\begin{solution}
+\end{solution}
--- /dev/null
+\begin{problem*}{37}
+A long coaxial cable consists of an inner cylindrical conductor with a
+radius $a$ and an outer coaxial cylinder with inner radius $b$ and
+outer radius $c$. The outer cylinder is mounted on insulating
+supports and has no net charge. The inner cylinder has a uniform
+positive charge per unit length $\lambda$. Caluculate the electric
+field \Part{a} at any point between the cylinders a distance $r$ from
+the axis and \Part{b} at any point outside the cylinder. \Part{c}
+Graph the magnitude of the electric field as a function of the
+distance $r$ from the axis of the cable, from $r=0$ to
+$r=2c$. \Part{d} Find the charge per unit length on the inner surface
+and on the outer surface of the outer cylinder.
+\end{problem*}
+
+\begin{solution}
+\end{solution}
\usepackage[author={W. Trevor King},
- coursetitle={Physics 201},
- classtitle={Recitation 1},
- subheading={Chapter 12}]{problempack}
+ coursetitle={Physics 102},
+ classtitle={Recitation Week 1},
+ subheading={Chapter 21}]{problempack}
\usepackage[inline]{asymptote}
\usepackage{wtk_cmmds}
\input{problem3}
\input{problem4}
\input{problem5}
+\input{problem6}
+\input{problem7}
+\input{problem8}
\end{document}
-../../problems/problem12.02.tex
\ No newline at end of file
+../../problems/Young_and_Freedman_12/problem21.34.tex
\ No newline at end of file
-../../problems/problem12.05.tex
\ No newline at end of file
+../../problems/Young_and_Freedman_12/problem21.47.tex
\ No newline at end of file
-../../problems/problem12.12.tex
\ No newline at end of file
+../../problems/Young_and_Freedman_12/problem21.72.tex
\ No newline at end of file
-../../problems/problem12.15.tex
\ No newline at end of file
+../../problems/Young_and_Freedman_12/problem21.74.tex
\ No newline at end of file
-../../problems/problem12.18.tex
\ No newline at end of file
+../../problems/Young_and_Freedman_12/problem21.76.tex
\ No newline at end of file
--- /dev/null
+../../problems/Young_and_Freedman_12/problem21.81.tex
\ No newline at end of file
--- /dev/null
+../../problems/Young_and_Freedman_12/problem21.84.tex
\ No newline at end of file
--- /dev/null
+../../problems/Young_and_Freedman_12/problem21.86.tex
\ No newline at end of file
projects / course.git / commitdiff