Posted by Jonathan on Tuesday, February 16, 2010 at 12:13am.
PLEASE HELP WITH AS MANY AS POSSIBLE... I AM TERRIBLY CONFUSED.
1. A charge moves a distance of 1.7 cm in the
direction of a uniform electric field having
a magnitude of 200 N/C. The electrical
potential energy of the charge decreases by
9.69095 × 10−19 J as it moves.
Find the magnitude of the charge on the
moving particle. (Hint: The electrical poten-
tial energy depends on the distance moved in
the direction of the field.)
Answer in units of C
2. Initially, both metal spheres are neutral.
In a charging process, 1 × 1013 electrons are
removed from one metal sphere and placed on
a second sphere. Then the electrical poten-
tial energy associated with the two spheres is
found to be −0.061 J .
The Coulomb constant is 8.98755 ×
109 N · m2/C2 and the charge on an electron
is 1.6 × 10−19 C.
What is the distance between the two
spheres?
Answer in units of m.
3. It takes 119 J of work to move 2.4 C of charge
from a positive plate to a negative plate.
What voltage difference exists between the
plates?
Answer in units of V
4The magnitude of a uniform electric field be-
tween the two plates is about 2 × 105 N/C.
If the distance between these plates is
0.1 cm, find the potential difference between
the plates.
Answer in units of V
5A force of 3.60 × 10−2 N is needed to move a
charge of 56.0 μC a distance of 25.0 cm in the
direction of a uniform electric field.
What is the potential difference that will
provide this force?
Answer in units of V.
6An electron moves from one plate of a capaci-
tor to another, through a potential difference
of 2495 V.
a) Find the speed with which the electron
strikes the positive plate.
Answer in units of m/s.
7b) If a proton moves from the positive plate to
the negative plate, find the speed with which
the proton strikes the negative plate.
Answer in units of m/s.
008
A proton is accelerated from rest through a
potential difference of 119 V.
Calculate the final speed of this proton.
Answer in units of m/s.
9. The three charges shown in the figure are
located at the vertices of an isosceles triangle.
The Coulomb constant is 8.98755 ×
109 N · m2/C2 and the acceleration of grav-
ity is 9.8 m/s2 .
4.1 cm
4.1 cm
1.4 cm
+
− − 3.3 × 10−9 C 3.3 × 10−9 C
5.1 × 10−9 C
Calculate the electric potential at the mid-
point of the base if the magnitude of the posi-
tive charge is 5.1×10−9 C and the magnitude
of the negative charges are 3.3 × 10−9 C.
Answer in units of V.
10. An electron that is initially 54 cm away from
a proton is displaced to another point.
The Coulomb constant is 8.98755 ×
109 Nm2/C2 and the acceleration of gravity
is 9.8 m/s2.
If the change in the electrical potential
energy as a result of this movement is
2.7 × 10−28 J, what is the final distance be-
tween the electron and the proton?
Answer in units of m.
11A potential difference of 117.0 V exists across
the plates of a capacitor when the charge on
each plate is 429.0 μC.
What is the capacitance?
Answer in units of F.
12A parallel-plate capacitor has a plate area of
188 cm2 and a plate separation of 0.0420 mm.
The permittivity of a vacuum is 8.85419 ×
10−12 C2/N · m2.
a) Determine the capacitance.
Answer in units of F.
13b) Determine the potential difference when
the charge on the capacitor is 530.0 pC.
Answer in units of V.
14A parallel-plate capacitor has a capacitance
of 0.28 μF and is to be operated at 6500 V.
a) Calculate the charge stored.
Answer in units of C
15b) What is the electrical potential energy
stored in the capacitor at the operating po-
tential difference?
Answer in units of J.
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