Answer Key
Uniform Electric Field
-
University:
Kentucky State University -
Course:
PHY 212 | General Physics II Academic year:
2023
-
Views:
354
Pages:
48
Author:
MoGhoadoAnotozj12
A uniform electric field of 300 N/C makes an angle of
25° with the dipole moment of an electric dipole. If the
torque exerted by the field has a magnitude of 2.5 x10 –7
N.m, the dipole moment (in C.m) must be:
A) 2.0 x 10–9
B) 9.2 x 10–10
C) 8.3 x 10–10
D) 8.3 x 10–5
E) 1.8 x 10–4
Consider k = 9 x 10+9
N.m2.C-2 A particle with a mass to charge ratio of 0.1
kg/C starts from rest in a uniform electric field
with magnitude, E = 10 N/C. How far will the
particle move (in m) in 2 seconds?
A) 200
B) 2
C) 19.6
D) 400
E) 4
Consider k = 9 x 10+9
N.m2.C-2 Positive charge Q is distributed uniformly throughout an
insulating sphere of radius R, centered at the origin. A
particle with a positive charge Q is placed at x = 2R on
the x axis.
The magnitude of the total electric field at x = R/2 on
the x axis is:
A) Q/72pe0R2
B) Q/8pe0R2
C) 7Q/18pe0R2
D) 11Q/18pe0R2 Consider k = 9 x 10+9
E) 63Q/pe0R2
N.m2.C-2 A 5-cm radius conducting sphere has a charge density of
2 x 10–6 C/m2 on its surface. Its electric potential at the
surface (in V), relative to the potential far away, is:
A)
B)
C)
D)
E)
1.1 x 104
2.2 x 104
2.3 x 105
3.6 x 105
7.2 x 106
Consider k = 9 x 10+9
N.m2.C-2 A charge q = 2.00 μC is placed at the origin in a region
where there is already a uniform electric field = (100
N/C) î.
Calculate the flux (in
N∙m2/C) of the net electric field through a Gaussian
sphere of radius R = 10.0 cm centered at the origin.
A) 2.26 x 105
B) 1.13 x 105
C) 5.52 x 105
D) Zero
E) 2.00 x 10-4
Consider k = 9 x 10+9
N.m2.C-2 Protons in the LHC accelerator are accelerated to an
energy of 4.0 TeV. What is this in joules? (The SI prefix
T = 10 +12)
A) 6.4 x 10-7
B) 4.0 x 10+12
C) 2.5 x 10+31
D) 4.0 x 10-19
E) 1.6 x 10-19
Consider k = 9 x 10+9
N.m2.C-2 Two charged particles, Q1 and Q2, are a distance r
apart. Q2 = 5Q1. Compare the forces they exert on
each other. F1 is the force Q2 exerts on Q1. F2 is the
force Q1 exerts on Q2.
A) F2 = 5F1.
B) F2 = –5F1.
C) F2 = F1.
D) F2 = –F1.
E) 5F2 = F1.
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. The potential along the x-axis is given by V(x) = axbx2,
where a=2 V/m and b=1 V/m2.
At what
value(s) of x (in m) is the electric field equal to
zero?
A) +1
B) 0 or -7
C) +13
D) -7
E) 0 or +2
Consider k = 9 x 10+9
N.m2.C-2 Particle A (mass = m, charge = Q) and B (mass = m,
charge = 3 Q) are released from rest with the distance
between them equal to 2.0 m.
If
m = 4g and Q = 2m C, what is the kinetic energy (in
mJ) of particle B at the instant when the particles are
3.0 m apart?
A) 9
B) 18
C) 7.5
D) 54
E) 54 x 10-3
Consider k = 9 x 10+9
N.m2.C-2 Consider a positive point charge, +Q, placed at the
center of a spherical conducting shell. The conducting
shell has an inner radius a and, an outer radius b and a
net charge – 3Q, the charge on the outer conducting
shell is :
A)
B)
C)
D)
E)
-Q
- 2Q
- 3Q
+ 3Q
+ 2Q
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. Equipotentials are lines along which:
A) The electric field is constant in magnitude and
direction.
B) The electric charge is constant in magnitude and
direction.
C) A charge moving at constant speed requires that
the maximum amount of work be done against
electrical forces.
D) A charge may be moved at constant speed without
work against electrical forces.
E) Charges move by themselves. A charged particle (q= 1.4 mC) moves 0.4 m along
an equipotential surface of 10 volts. How much work
is done by the field during this motion :
A) 14 J
B) 0.6 J
C) 25 J
D) Zero
E) 1.4 J The electric field at the surface of a solid spherical
conductor (radius R = 20 cm) points radialy outward and
has a magnitude of 10 V/m. Calculate the electric potential
(in Volts) at the center of the conducting sphere. (Take V =
0 at infinity as the reference point.)
A) 2
B) Zero
C) 10
D) 5
E) 4 What must the charge ( sign and magnitude) of a 1.46 g
particle be for it to remain stationary when placed in a
downward-directed electric field of magnitude 680
N/C:
A) + 2.1 x 10–5
B) +1.4 x 10–5
C) -2.1 x 10–5
D) -1.7 x 10–7
E) +1.8 x 10–4
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. A very long uniform line of charge has charge per unit
length 4.76 m C/m and lies along the x-axis. A second
long uniform line of charge has charge per unit length
-2.48 m C/m and is parallel to the x-axis at y= 0.420 m.
The net electric field (in N/C) at a point y= 0.206 m on
the y-axis is:
A) 8.7 x 104
B) 6.24 x 105
C) 1.38 x 105
D) 3.60 x 105
E) 7.35 x 104
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. Three negative point charges lie
along a line as shown in the figure.
Find the magnitude and direction of
the electric field (in N/C)this
combination of charges produces at
point P.
A) 1 x 107 toward q2
B) 5 x 106 toward q2
C) 1 x 107 toward q3
D) 5 x 106 outward q2
E) 1 x 107 outward q2
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. In the figure shown, the battery has a potential
difference of 24 V. If C1 = C2 = C3 = C4 = C5 = 20 μF, the
equivalent capacitance of the circuit in μf is:
A)
B)
C)
D)
E)
28.8
11.3
18.0
12.0
32.0
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. A parallel plate capacitor with a capacitance of 12 μF is
connected to a source of emf with a potential
difference of 3 V. If a dielectric material of κ = 6 is
inserted between the plates of the capacitor, then the
change in the stored electrical energy,
is:
A)
B)
C)
D)
E)
2.7×10−4 J
5.4×10−5 J
1.2×10−5 J
1.4×10−6 J
0J
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. Consider a parallel-plate capacitor of 1.5 mm
separation and 5x103 cm2 plate area. If the charge on
one plate is 8.85 nC, the voltage (in V) across the two
plates is:
A) 6
B) 3
C) 12
D) 21
D) 8
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. A certain resistor dissipates 0.5 W when connected to
a 3 V potential difference. When connected to a 1 V
potential difference, this resistor will dissipate (in W):
A)
B)
C)
D)
E)
0.50
0.167
0.056
1.5
15.0
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. A certain resistor dissipates 0.5 W when connected to
a 3 V potential difference. When connected to a 1 V
potential difference, this resistor will dissipate (in W):
A)
B)
C)
D)
E)
0.056
0.167
0.5
1.5
15.0
k=9x109 N.m2.C-2,me=9.11x10-31 kg, e=1.6x10-19c,
Ɛ0=8.85x10-12C2N-1m-2. A small bulb has a resistance of 20 kΩ. The tungsten
filament that made up the bulb has a temperature
coefficient of resistivity α=4.5x10-3 oC-1 . When the
filament is hot, its temperature is seven times the
initial room temperature of 20oC. The resistance of the
filament when it is heated up is:
A)
B)
C)
D)
E)
45 kΩ
19 kΩ
31 kΩ
56 kΩ
1350 kΩ A cylindrical wire has a resistance R and resistivity ρ. If
its length and diameter are BOTH cut in half, what will
be its resistance?
A) 4R
B) 2R
C) R
D) R/2
E) R/4
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