hi, need solution for all these questionit doesn’t matter for me how many pages as long as it’s readable, same for the spacethank you
PhysicsII
Sheet #1
Samer Zyoud
Problem1
Two small spheres spaced 20.0 cm apart have equal charge. How
many excess electrons
must be present on each sphere if the magnitude of the force
of repulsion between
them is 4.57 10 21 N?
Problem2
Three point charges are arranged on a line. Charge q 3 =
+5.00 nC and is at the origin.
Charge q 2 = -3.00 nC and is at x = +4.00 cm Charge is q 1 at
x = +2.00 cm. What is (magnitude
and sign) if the net force on q 3 is zero?
Problem3
A charged cork ball of mass 2g is suspended on a light string
in the presence of a uniform
electric field. When the field E = (3i + 4j) 105N/C, the
ball is in equilibrium at = 30o. Find
the charge on the ball
T
E
q
g = 9.8 m/s2
Problem4
A semicircular ring of radius 2mm is uniformly charged. The
top half of the semicircular ring
has a total charge of –7.50 μC, whereas the bottom half has a
total charge of +7.50 μC. Find,
(a) The charge per unit length on the top half and the bottom
half.
(b) The magnitude and direction of the resultant electric
field at O, the center of the
semicircle.
1|Page
PhysicsII
Sheet #1
Samer Zyoud
Problem5
Four identical point charges (q = +10.0 μC) are located on
the corners of a rectangle. The
dimensions of the rectangle are L = 60.0 cm and W = 15.0 cm.
(a) Calculate the magnitude and direction of the resultant
electric field at the location of the
charge at the lower left corner by the other three charges.
(b) What is the magnitude and direction of the force exerted
on this charge?
Problem6
Three point charges are located at the corners of an
equilateral triangle as shown in the Figure
below.
(a) Calculate the resultant electric field at the location of
the 7.00-μC charge.
(b) Calculate the resultant electric force on the 7.00-μC
charge.
(c) ( Sheet #3)How much energy is necessary assemble these
three charges at their current
configuration?
Problem7
2|Page
PhysicsII
Problem8
Problem9
Problem10
Problem11
3|Page
Sheet #1
Samer Zyoud
PhysicsII
Sheet #1
Samer Zyoud
Problem12
Problem13
Two small plastic spheres are given positive electrical
charges. When they are 15.0
cm apart, the repulsive force between them has magnitude
0.220 N. What is the
charge on each sphere a) if the two charges are equal? b) if
one sphere has four
times the charge of the other?
Problem14
How far does the electron of a hydrogen atom have to be
removed from the
nucleus for the force of attraction equal the weight of the
electron at the surface of
the earth?
Problem15
A negative charge -0.550 μC exerts an upward 0.200-N force on
an unknown charge
0.300 m directly below it. a) What is the unknown charge
(magnitude and sign)? b)
What are the magnitudes and direction of the force that the
unknown charge exerts on
the -0.550 μC charge?
Problem16
Two point charges are placed on the x-axis as follows: charge
q = +5.00 nC is at x = _0.300 m. What are the magnitude and
direction of the total force
exerted by these two charges on a negative point charge
q3 = -6.00 nC that is placed at the origin?
4|Page
PhysicsII
Sheet #1
Samer Zyoud
Problem17
a) What must the charge (sign and magnitude) of a 1.45-g
particle be for it to
remain stationary when placed in a downward directed electric
field of magnitude
650 N/C? b) What is the magnitude of an electric filed in
which the electric force
on proton is equal in magnitude to weight?
Problem18
A uniform electric field exists in the region between two
oppositely charged plane
parallel plates. A proton is released from rest at the
surface of the positively
charged plate and strikes the surface of the opposite plate,
1.60
cm distant from the first, in a time interval of 1.50 × 10-6
s. a) Find the magnitude
of the electric field. b) Find the speed of proton when it
strikes the negatively
charged plate.
Problem19
Avery long, straight wire has charge per unit length 1.50 ×
10-10 C/m. At what
distance from the wire is the electric field magnitude equal
to 2.50 N/C?
Problem20
Near the earth’s surface, the electric field in the open air
has magnitude 150 N/C
and is directed down toward the ground. If this is regarded
as being due to a large
sheet of charge lying on the earth’s surface, calculate the
charge a in the per unit
area in the sheet. What is the sign of the charge?
Problem21
point charged q1 = -4.5 nC and q2 = +4.5 nC are separated by
3.1 mm, forming an
electric dipole. a) Find the electric dipole moment
(magnitude and direction). b)
The charges are in the uniform electric whose direction makes
an angle of 36.9ο
with the line connecting the charges. What is the magnitude
of this field if the
torque exerted on the dipole has magnitude 7.2 × 10-9 N.m?
5|Page
Physics II
Samer Zyoud
Sheet#2
Problem1
A hollow non-conducting spherical shell of inner radius R1
and outer radius R2 carries a total
charge of Q distributed uniformly throughout its volume.
Determine the electric flux through a
spherical surface of radius r (R1b).
c- Repeat (a), and (b) if a net charge of -2.5 C is placed
on the shell.
Problem8
A solid copper sphere of radius 15.0 cm carries a charge of
40.0 nC. Find the electric
field (a) 12.0 cm, (b) 17.0 cm, and (c) 75.0 cm from the
center of the sphere. (d) What If?
How would your answers change if the sphere were hollow?
Problem9
A solid plastic sphere of radius 10.0 cm has charge with
uniform density throughout its
volume. The electric field 5.00 cm from the center is 86.0
kN/C radially inward. Find
a) The total charge on the sphere
b) the magnitude of the electric field 15.0 cm from the
center.
Problem10
A conducting spherical shell of inner radius a and outer
radius b carries a net charge Q.
A point charge q is placed at the center of this shell.
Determine
(a)the electric fields at each of the following regions r b
(b) the surface charge density on the inner surface of the
shell and
(c) the surface charge density on the outer surface of the
shell.
3|Page
Physics II
Sheet#2
Samer Zyoud
Problem11
A point charge q is located at the center of a uniform ring
having linear charge density λ
and radius a, as shown in the Figure Determine the total
electric flux through a sphere
centered at the point charge and having radius R, where R
< a. Problem12 An insulating sphere is 8.00 cm in diameter and
carries a 5.70-μC charge uniformly distributed throughout its
interior volume. Calculate the charge enclosed by a concentric
spherical surface with radius (a) r = 2.00 cm and (b) r = 6.00 cm
Problem13 4|Page Physics II Sheet#2 Samer Zyoud Problem14 Problem15
It is found experimentally that the electric field in a certain
region of the earth's atmosphere is directed vertically downward.
At an altitude of 300m the filed is 60N/C and at an altitude of
200m it is 100N/C. Find, (a) The net flux through a cube with each
edge of length 100m located between the altitudes of 200m and 300m.
(b) The net amount of charge contained in a cube 100m on edge
located at an altitude between 200m and 300m. [Hint: Draw a cube
with each edge length 100m located between the altitudes of 200m
and 300m] 5|Page Physics II Samer Zyoud Sheet#3 Problem1 Two
parallel non-conducting rings arranged with their central axes
along a common line. Ring 1 has uniform charged –q and radius R:
ring 2 has uniform charge q and the same radius R. The rings are
separated by a distance 2R. a) With V= 0 at infinity, derive an
expression for the electric potential V at point P on the common
line, at a distance x from the origin O. b) Derive an expression
for the net electric filed E (magnitude and direction) at point P?
q –3q R R O R P R x Problem2 Three point charges q1= 5 μC, q2 = 4
μC , and q3 = 1 μC are shown in the figure. a. With V= 0 at
infinity, find the electric potential V at point P located on the x
axis at x = 2 m. b. A proton is placed at point P (x = 2 m), the
speed of the proton when it is very far from the three charges. y
q1 2m q3 P O 1m 2m q2 1|Page 1m x Physics II Sheet#3 Samer Zyoud
Problem3 An electron moving parallel to the x axis has an initial
speed of 3.70 × 106 m/s at the origin. Its speed is reduced to 1.40
× 105 m/s at the point x = 2.00 cm. Calculate, (a) the potential
difference between the origin and that point. (b) if the electric
in the region between the origin and the x = 2.00 cm is constant,
what the magnitude and the direction of this electric field. (c)
Which point is at the higher potential? Problem4 A thin ring of
radius R carries a positive charge Q spread uniformly over its
circumference. (a) Starting from the definition of the potential of
a point charge, derive an expression for the potential created by
the ring at a distance x from its center along the axis of the
ring. (b) If an electron is released from rest at x R 3 , how
fast will it be moving when it reaches the center? Problem5 Four
point charges, q 2 nC each, are fixed in position at the corners
of a square 3 m on a side. Calculate the electrostatic potential
energy (in electron volts) of an electron placed at the center of
the square. nC 10 -9 C, 1 eV 1.6 10 19 J . Problem6 A
proton (mass = 1.67 10–27 kg, charge = 1.60 10–19 C) moves from
point A to point B under the influence of an electrostatic force
only. At point A the proton moves with a speed of 60 km/s. At point
B the speed of the proton is 80 km/s. Determine the potential
difference V B V A . [Hint: use conservation of energy.] 2|Page
Physics II Samer Zyoud Sheet#3 Problem7 Charge Q is distributed
uniformly over a non-conducting ring of radius R . a) Derive an
expression for the potential V (z ) at a point on the axis of the
ring a distance z from its center. b) Use the expression derived
above to find the electric field strength E z at the same
point. k e 9 10 9 Nm2 /C 2 , e 1.6 10 19 C . c) Evaluate
V and E z for Q due to a million electrons, R 3 cm and z 4 cm.
Problem8 Problem9 Problem10 3|Page Physics II Samer Zyoud Sheet#3
Problem11 Problem12 The figure shows an annulus of inner radius a =
2.0 cm and an outer radius b = 5.0 cm. The annulus has a uniform
charge surface density = 1.5x106C/m2. a) With V= 0 at infinity
calculate the electric potential V at point C the center of
annulus. b) What is the magnitude of the electric field at point C?
c) What is the total charge q on the surface? a C b Problem13
Two charges q1 = 5 C and q2 = +2C are located at the opposite
corners of a rectangle. With V= 0 at infinity, and A and B are the
at opposite corners of the rectangle, as shown, a) what is the
electric potential at point A? b) What is the electric potential at
point B? c) How much work is required to move a third charge q3 =
+3C from point B to point A along the diagonal of the rectangle?
q1 A 0.5m B q2 2m 4|Page Physics II Sheet#3 Samer Zyoud Problem14
1. A charged particle (q= - 8.0 mC), which moves in a region where
the only force acting on the particle is an electric force, is
released from rest at point A. At point B the kinetic energy of the
particle is equal to 4.8 J. What is the electric potential
difference (VBVA)? 2. If a = 30 cm, b = 20 cm, q = + 2.0 nC and Q =
- 3.0 nC in the figure, what is the potential difference (VA-VB)?
Problem15 A uniform electric field of magnitude 325 V/m is directed
in the negative y direction in the Figure. The coordinates of point
A are (–0.200, –0.300) m, and those of point B are (0.400, 0.500)
m. Calculate the potential difference VB – VA, using the shown
path. Problem16 Given two 2.00-μC charges, as shown in the Figure,
What is the electrical potential at the origin due to the two
2.00-μC charges? 5|Page Physics II Problem17 Problem18 6|Page
Sheet#3 Samer Zyoud Physics II Sheet#4 Samer Zyoud Problem1 Four
capacitors are connected as shown in the Figure below. (a) Find the
equivalent capacitance of the network. (b) Calculate the charge on
each capacitor and the voltage across each capacitor if a DC
battery of 15.0 V is applied at point a. (c) Calculate the energy
stored in each capacitor. Problem2 Two capacitors C1 and C2 (where
C1 > C2) are charged to the same potential difference V. The
charged capacitors are removed from the battery and their
plates are connected with opposite
polarity, i.e., the positive plate of C1 is connected to the
negative plate of C2 and vice versa.
Determine,
(a) The voltage, charge and the energy in each capacitor
before they are connected to each
other.
(b) The voltage, charge and the energy in each capacitor
after they are connected to each
other.
Given, C1 = 30µF, C2 = 20 µF, and V = 12Volts
1|Page
Physics II
Samer Zyoud
Sheet#4
Problem3
In the circuit below, C1 = 15 µF, C2 = 10 µF, C3 = 20 µF, and
V0 = 18 V. Determine
a) The equivalent capacitance.
b) The charge stored on C2.
c) The energy stored in C3.
Problem4
Problem5
A parallel-plate capacitor has plates of area A = 0.12m2 each
and a separation d = 1.2 cm. A battery
charges the plates to a potential difference of 120 V and
then disconnected. A dielectric slab of
thickness of 4 mm and dielectric constant K = 4 is then
placed symmetrically between the plates.
a) What is the capacitance C of the capacitor before and
after the slab is inserted?
b) What is the charge q on the capacitor before and after the
slab is inserted?
c) With the slab in place the plates, what is the potential
difference across the plates?
air
120V
1.2cm
K
air
before
2|Page
after
Physics II
Sheet#4
Samer Zyoud
Problem6
A parallel plate capacitor of capacitance Co has plates area
A with separation d between them. When it
is connected to a battery of voltage Vo it has charge of
magnitude Qo on its plates. The plates are pulled
apart to a separation 2d while the capacitor remains
connected to the battery. After the plates are 2d
apart, find the
a. a. magnitude of the charge on the plates and
b. the potential difference between them.
Problem7
A parallel plate capacitor of capacitance Co has plates area
A with separation d between them. When it
is connected to a battery of voltage Vo it has charge of
magnitude Qo on its plates. While it is connected
to the battery the space between the plates is filled with a
material of dielectric constant 3. After the
dielectric is added, find
c. the magnitude of the charge on the plates and
d. the potential difference between them.
Problem8
Consider the circuit shown in the Figure, where C1 = 6.00 μF,
C2 = 3.00 μF, and ΔV = 20.0 V.
Capacitor C1 is first charged by the closing of switch S1.
Switch S1 is then opened, and the
charged capacitor is connected to the uncharged capacitor by
the closing of S2. Calculate the
initial charge acquired by C1 and the final charge on each
capacitor.
Problem9
3|Page
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