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Lecture 1B: Electric Fields Objectives: • Understand the electric field as a representation of the force on a test charge • Apply Gauss' law to calculate an electric field • Visualize the behavior of charges and electric fields in and around conductors Useful equations: • Coulomb's law: $F = \frac{k q_1 q_2}{r^2}$ • Gauss' law: electric flux $= \frac{Q_{enclosed}}{\epsilon_0}$ • Coulomb's constant: $k = 8.99 \times 10^9 \text{ N m}^2/\text{C}^2$ • Permittivity of free space: $\epsilon_0 = \frac{1}{(4\pi k)}$ 1. Consider the pair of opposite charges shown below in red and blue. (a) Sketch the electric force F experienced by a positive test charge at each of the positions (A-F). (b) Sketch the electric field using the representation of electric field lines. A + B - C D • E • F Page 1

          Lecture 1B: Electric Fields
Objectives:
• Understand the electric field as a representation of the force on a test charge
• Apply Gauss' law to calculate an electric field
• Visualize the behavior of charges and electric fields in and around conductors
Useful equations:
• Coulomb's law: $F = \frac{k q_1 q_2}{r^2}$
• Gauss' law: electric flux $= \frac{Q_{enclosed}}{\epsilon_0}$
• Coulomb's constant: $k = 8.99 \times 10^9 \text{ N m}^2/\text{C}^2$
• Permittivity of free space: $\epsilon_0 = \frac{1}{(4\pi k)}$
1. Consider the pair of opposite charges shown below in red and blue.
(a) Sketch the electric force F experienced by a positive test charge at each of the positions (A-F).
(b) Sketch the electric field using the representation of electric field lines.
A
+ B -
C
D • E
• F
Page 1

Lecture 1B: Electric Fields
Objectives:
• Understand the electric field as a representation of the force on a test charge
• Apply Gauss' law to calculate an electric field
• Visualize the behavior of charges and electric fields in and around conductors
Useful equations:
• Coulomb's law: F = (k q1 q2)/(r^2)
• Gauss' law: electric flux = (Qenclosed)/(ϵ0)
• Coulomb's constant: k = 8.99 × 10^9 N m^2/C^2
• Permittivity of free space: ϵ0 = (1)/((4π k))
1. Consider the pair of opposite charges shown below in red and blue.
(a) Sketch the electric force F experienced by a positive test charge at each of the positions (A-F).
(b) Sketch the electric field using the representation of electric field lines.
A
+ B -
C
D • E
• F
Page 1

Added by Brooke F.

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