Chapter 23 Electric Fields
• Two kinds + and –• Charge is a scalar• Like charges repel and unlike attract• Conductor: charges relatively free to move• Insulator: charges relatively fixed• Charge is conserved in an isolated system – you can
transfer charge, but not create or destroy charge• The MKS unit of charge is 1 Coulomb• Charge is quantized: e = 1.6 x 10-19 Coulombs.
Typically there are around 1013 excess or deficient charges on a body – 1013/1023 or 1 part in 1010
23.1 Properties of Electric Charges
CT1: Two uniformly charged spheres are firmly fastened to and electrically insulated from frictionless pucks on an air table. The charge on sphere 2 is three times the charge on sphere 1. Which force diagram correctly shows the magnitude and direction of the electrostatic forces:
A.
B.
C.
D.
E.
F.
G. None of these.
CT2: P23.5 A hydrogen atom is composed of a nucleuscontaining a single proton, about which asingle electron orbits. The electric force between the two particles is 2.3 x 1039 greater than the gravitational force! If we can adjust the distance between the two particles, can we find a separation at which the electric and gravitational forces are equal?
A. Yes, we must move the particles farther apart.
B. Yes, we must move the particles closer together.
C. No, not at any distance
Chapter 23 Electric Fields
Superposition
The effect of several electrical forces acting on a charge due to several other charges is the vector sum of the individual forces from each charge as if the remaining charges weren’t present.
F1 = F21 + F31 + F41 + F51 + F61 + F71 + …..
23.3 Coulomb’s Law
CT3: P23.8 Which statement is true?A. The charged bead is in stable
equilibrium only if the charge is positive.
B. The charged bead is in stable equilibrium only if the charge is negative.
C. The charged bead is in stable equilibrium if the charge is either positive or negative.
D. The charged bead is in never in stable equilibrium.
I. Definition
Coulomb Force:
Electric Field:
E = lim F/q0 q0 is a positive
q0 0 test charge
Ch23.4 The Electric Field
Chapter 23: Electric Fields
charge1 charge2
charge1 charge2electric
field
II. Calculation of E
A. Point Charge
B. Discrete Distribution of Point Charges
Discrete sum – superposition (P 23.17 and P23.18)
Note: E depends only on the source charge(s)
Ch23.4 The Electric Field
Chapter 23: Electric Fields
CT4: P23.18For very large x
A. The dipole field is stronger than the monopole (single charge) field.
B. The dipole field is weaker than the monopole field.
C. The dipole field is equal to the monopole field.
Continuous Distribution (P23.27)
∫Uniform volume charge density = q/V and dq = dV
Uniform surface charge density = q/A and dq = dA
Uniform linear charge density = q/l and dq = dl
Note: E depends only on the source charge distribution
Ch23.5 Electric Field of a Continuous Charge Distribution
Ch23.6 Electric
Field Lines
• Electric field lines give a visualization of the electric force field
• The field points along the line in the direction of the arrow
• Field lines leave + charges and end on – charges
• The number of lines is proportional to the source charge, so the density of lines is proportional to field strength
Electric Field Lines – Isolated and Separated Equal Positive and Negative
Point Charges – Electric Dipole
P23.40 a) What is the ratio q2/q1? b) Signs of q1 and q2?
CT23.5
• 1
• 2
• 3
• 4
CT23.6
A. +,+
B. +,-
C. -,+
D.-,-
The coin doesn’t have to be charged for the cup to attract the coin. The charged cup can induce a polarization of the charge which results in an attraction. Common misconceptions - Charged objects only interact with other charged objects. Charged objects do not interact with uncharged (neutral) objects. Uncharged (neutral) is considered to be a third type of charge. Charged and uncharged objects attract each other because they are opposites. Correct answer
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