Voltage and Electrical Potential in Physics

 
Voltage and Electric Field
Contents:
Voltage, work and charge
Voltage example
Whiteboards
Voltage and electric field
Example
Whiteboards
Electron Volts and accelerated ions
 
Electrical Potential (AKA Voltage)
 
Definition:
V = 
W
          q
V = Change in Electrical potential (Volts)
W
 = Work (J)
q = Charge (C)
 
Voltage is like pressure, Air = 10,000 V/in, Show, Pickle-luminescence, Zap-O-Rama
 
Hans Full does 0.012 J of work on
630 
C of charge moving it
against an electrical field.  What is
the change in voltage?
 
Jerry Rigg moves a 2.0 kg object
upwards doing 64 J of work.  What
is the change in gravitational
potential?
 
(32 J/kg)
 
(19 J/C or 19 V) – show units
 
Whiteboards:
 Potential, Work and Charge/Mass
1-5
10.0 V
 
V = 
E
p
/q
,   
E
p
 = 125 J, q = 12.5 C
V = 10.0 V
Sandy Deck does 125 J of work on a 12.5
C charge.  Through what voltage did she
move it?
0.600 J
Lila Karug moves a 120. 
C charge
through a voltage of 5000. V.  How much
work does she do?
 
V = 
E
p
/q
,  q = 
120x10
-6
 C
, 
V = 
5000. V
E
p
 = 0.600 J
9.0 J/kg
Benny Hana does 45.0 J of work on 5.0
kg of mass moving it against a
gravitational field.  What is its change of
gravitational potential?
 
solution
0.050 kg or 50. grams
Jane Linkfence moves a mass through a
potential difference of 320 J/kg and does
16 J of work.  What is the mass?
 
solution
13.8 mC
Arthur Moore does 0.167 J of work
moving an unknown charge through a
voltage of 12.1 V.  Please, please, won’t
you please help him calculate the
charge?
 
V = 
E
p
/q
, 
V = 
12.1 V, 
E
p
 = 0.167 J
q = 
0.013801653 = .0138 C = 13.8 mC
 
Voltage and distance and E Field
 
Definition: (derive)
E = -
Δ
V
         
Δ
r
E = Electric Field
Δ
V = Voltage change
Δ
r
 = displacement over
which it changes
(Why the minus sign)
 
+
+
+
+
+
+
+
+
+
+
 
-
-
-
-
-
-
-
-
-
-
 
Parallel Plates
 
Δ
r
 
E
 
What is the electric field when you
have 12.0 V across two || plates
that are separated by 0.0150 m?
 
If you have a gravitational field
strength of 9.81 N/kg, what is the
change of gravitational potential in
a vertical upward distance of 1.85
m?
 
(18.1 J/kg)
 
(800 V/m) – show units = N/C
 
Whiteboards:
 Potential, Field, and distance
1-5
 
5.0x10
2
 V/m right
 
Lee DerHosen places a voltage of 25 V across two || plates
separated by 5.0 cm of distance.  What is the electric field
generated?  Which way is the field?
 
+
+
+
+
+
+
+
+
+
+
 
-
-
-
-
-
-
-
-
-
-
 
Parallel Plates
 
5cm
 
+25 V
 
0 V
 
0.39 V, right side is +
 
Art Zenkraftz measures a 125 V/m electric field to the left
between some || plates separated by 3.1 mm.  What must be
the voltage across them?  Which
side is the positive?
 
Parallel Plates
 
3.1 mm
 
E
 
14.5 m
 
Helen A. Handbasket lifts a mass upwards (on earth)
increasing its gravitational potential by 142 J/kg.  What
vertical distance did she lift it?
 
An electric field exerts a Southerly force of 3.30 N on a +450.
µC charge.  What is the change in potential if you displace
yourself 7.30 m to the North?  Is it an increase, or decrease in
potential?
 
+53,500 V, increase
 
A gravitational field exerts a force of 126. N on a 13.0 kg mass
away from point B and toward point A that is vertically
displaced from B a distance of 12.0 m.   What is the field
strength?  In what direction?  What is the change in
gravitational potential if you go from B to A?
 
9.69 N/kg, toward A, -116 J/kg
 
A uniform electrical field changes electrical potential from
110. V to 370. V when you move down 6.10 m.  What is the
magnitude and direction of the electrical field, and what force
does it exert on a -1.40 µC charge?
 
42.6 V/m. up, 5.97x10
-5
 N down
 
If you move a mass vertically from point A to point B, the
potential changes from -65.0 J/kg to -34.0 J/kg in a distance of
17.0 m.  What is the gravitational field strength? Does the field
point toward A or B? Which point is at a higher elevation, A or
B?
 
1.82 N/kg toward A, B is higher.
43 V, bottom
 
E = -
Δ
V/
Δ
x
, F = Eq, F = mg
mg = Eq = 
Δ
Vq/
Δ
x
V = 42.875 V = 43 V
Bottom positive
Carson Busses needs to suspend a 1.5 g
(.0015 kg) pith ball against gravity.
(gravity = electric)
 It has a charge of +12 
C,
and he is generating the electric field
using plates that are 3.5 cm apart.  What
voltage should he use? 
Which side (top or
bottom) is positive?
+Q
7.92 N/kg
Mimi  O’ Graf is on planet Xzrstlnr.  If
she increases the gravitational potential
of a mass by 95.0 J/kg in a vertical
distance of 12.0 m, what is the
gravitational field strength?
 
sol
12 cm
Oliver Goodguy needs to generate a
13 V/m electric field using a 1.50 V
source.  What distance should he
separate || plates to generate this electric
field?
 
E = -
Δ
V/
Δ
x
, 
Δ
V
 = 
1.50 V
,, 
E = 13 V/m
Δ
x = 0.1154 m = 0.12 m = 12 cm
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Explore the concepts of voltage, electrical potential, work, and charge through practical examples involving moving charges against electric and gravitational fields. Learn how to calculate voltage, work done, and gravitational potential changes in various scenarios. Dive into the world of electrical circuits and potential differences to enhance your understanding of fundamental physics principles.

  • Physics
  • Voltage
  • Electrical Potential
  • Work
  • Charge

Uploaded on Apr 03, 2024 | 3 Views


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  1. Voltage and Electric Field Contents: Voltage, work and charge Voltage example Whiteboards Voltage and electric field Example Whiteboards Electron Volts and accelerated ions

  2. Electrical Potential (AKA Voltage) Definition: V = W q V = Change in Electrical potential (Volts) W = Work (J) q = Charge (C) Voltage is like pressure, Air = 10,000 V/in, Show, Pickle-luminescence, Zap-O-Rama

  3. Hans Full does 0.012 J of work on 630 C of charge moving it against an electrical field. What is the change in voltage? Jerry Rigg moves a 2.0 kg object upwards doing 64 J of work. What is the change in gravitational potential? (32 J/kg) (19 J/C or 19 V) show units

  4. Whiteboards: Potential, Work and Charge/Mass 1-5

  5. Sandy Deck does 125 J of work on a 12.5 C charge. Through what voltage did she move it? V = Ep/q, Ep = 125 J, q = 12.5 C V = 10.0 V 10.0 V

  6. Lila Karug moves a 120. C charge through a voltage of 5000. V. How much work does she do? V = Ep/q, q = 120x10-6 C, V = 5000. V Ep = 0.600 J 0.600 J

  7. Benny Hana does 45.0 J of work on 5.0 kg of mass moving it against a gravitational field. What is its change of gravitational potential? solution 9.0 J/kg

  8. Jane Linkfence moves a mass through a potential difference of 320 J/kg and does 16 J of work. What is the mass? solution 0.050 kg or 50. grams

  9. Arthur Moore does 0.167 J of work moving an unknown charge through a voltage of 12.1 V. Please, please, won t you please help him calculate the charge? V = Ep/q, V = 12.1 V, Ep = 0.167 J q = 0.013801653 = .0138 C = 13.8 mC 13.8 mC

  10. Voltage and distance and E Field Definition: (derive) E = - V r E = Electric Field V = Voltage change r = displacement over which it changes (Why the minus sign) E + + + + + + + + + + - - - - - - - - - - r Parallel Plates

  11. If you have a gravitational field strength of 9.81 N/kg, what is the change of gravitational potential in a vertical upward distance of 1.85 m? What is the electric field when you have 12.0 V across two || plates that are separated by 0.0150 m? (18.1 J/kg) (800 V/m) show units = N/C

  12. Whiteboards: Potential, Field, and distance 1-5

  13. Lee DerHosen places a voltage of 25 V across two || plates separated by 5.0 cm of distance. What is the electric field generated? Which way is the field? + + + + + + + + + + - - - - - - - - - - 5cm +25 V 0 V Parallel Plates 5.0x102 V/m right

  14. Art Zenkraftz measures a 125 V/m electric field to the left between some || plates separated by 3.1 mm. What must be the voltage across them? Which side is the positive? E 3.1 mm Parallel Plates 0.39 V, right side is +

  15. Helen A. Handbasket lifts a mass upwards (on earth) increasing its gravitational potential by 142 J/kg. What vertical distance did she lift it? 14.5 m

  16. An electric field exerts a Southerly force of 3.30 N on a +450. C charge. What is the change in potential if you displace yourself 7.30 m to the North? Is it an increase, or decrease in potential? +53,500 V, increase

  17. A gravitational field exerts a force of 126. N on a 13.0 kg mass away from point B and toward point A that is vertically displaced from B a distance of 12.0 m. What is the field strength? In what direction? What is the change in gravitational potential if you go from B to A? 9.69 N/kg, toward A, -116 J/kg

  18. A uniform electrical field changes electrical potential from 110. V to 370. V when you move down 6.10 m. What is the magnitude and direction of the electrical field, and what force does it exert on a -1.40 C charge? 42.6 V/m. up, 5.97x10-5 N down

  19. If you move a mass vertically from point A to point B, the potential changes from -65.0 J/kg to -34.0 J/kg in a distance of 17.0 m. What is the gravitational field strength? Does the field point toward A or B? Which point is at a higher elevation, A or B? 1.82 N/kg toward A, B is higher.

  20. Carson Busses needs to suspend a 1.5 g (.0015 kg) pith ball against gravity. (gravity = electric) It has a charge of +12 C, and he is generating the electric field using plates that are 3.5 cm apart. What voltage should he use? Which side (top or bottom) is positive? E = - V/ x, F = Eq, F = mg mg = Eq = Vq/ x V = 42.875 V = 43 V Bottom positive +Q 43 V, bottom

  21. Mimi O Graf is on planet Xzrstlnr. If she increases the gravitational potential of a mass by 95.0 J/kg in a vertical distance of 12.0 m, what is the gravitational field strength? sol 7.92 N/kg

  22. Oliver Goodguy needs to generate a 13 V/m electric field using a 1.50 V source. What distance should he separate || plates to generate this electric field? E = - V/ x, V = 1.50 V,, E = 13 V/m x = 0.1154 m = 0.12 m = 12 cm 12 cm

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