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Assessment for this course
Final exam: % Mid-semester exam: % Quiz x 3: % Homework: % If you do the homework, the rest should be easy!
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In this course, we learn about four fundamental principles.
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(3) Angular momentum principle 角动量原理 (4) Fields 场
(2) Energy principle 能原理 (3) Angular momentum principle 角动量原理 (4) Fields 场 For the rest of the semester: Electric fields (电场) Magnetic fields (磁场)
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Electric forces
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Two kinds of charge (电荷)
One type from rubbing glass玻璃 One type from rubbing amber 琥珀 (Greek word for amber: elektron)
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Particles with the same charge repel each other (相斥)
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Particles with the same charge repel each other (相斥)
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Particles with opposite charges attract each other (相吸)
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- + Benjamin Franklin (1706-1790)
Believed that electricity was a fluid (流体) that can flow between objects. Too much fluid = “positive” charge Too little fluid = “negative” charge - + Physics would be less confusing if he named them the other way around!
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Unit of charge: Coulomb (C)
Particle Mass (kg) Charge (C) electron 9.11 x 10-31 -e = 1.60 x 10-19 positron +e proton 1.67 x 10-27 anti-proton -e muon 1.88 x 10-28 +e or –e (antimuon) pion 2.48 x 10-28 +e or 0 or -e Unit of charge: Coulomb (C)
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Charge is quantized (量子化).
Everything is charged in multiples of e, the elementary charge. Except…
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Quarks (夸克) have a charge less than e, but are never seen alone.
Proton Neutron Pion
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Nuclei and atoms 核 原子 电子 质子 中子
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Electrostatic force 静电力 Coulomb’s Law: ; ε0 is called the
“permittivity of free space”
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Example How strong is the repulsive electrostatic force between two protons in a nucleus?
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Example How strong is the attractive gravitational force between two protons in a nucleus? The strong nuclear force is what keeps nuclei from blowing themselves apart.
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Electrostatic forces are strong.
We usually don’t notice because most things – including us – have the same amounts of positive and negative charge. We are electrically neutral (中性).
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+
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+ + +
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+ We can divide the world into two parts:
The source charges, which are causing the force The test charge, which feels the force This is a bit like the system/surroundings idea in mechanics.
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What if we remove the test charge?
+ + + The “influence” of the source charges is still there… we call it the electric field.
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Electric field is a vector field. It has a value and a direction at every position in space and every moment in time:
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Electric field Two steps when thinking about electric forces:
Calculate the field caused by the source charges. Calculate the effect the field has on other charges.
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Electric field of one point charge
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