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# Difference between a vector and scalar distance

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1. Understanding physical principles is often very useful in everyday life. For example, a skater develops an intuitive understanding of angular momentum in order to master making turns, and virtually all of us as car drivers come to understand the principles of inertia, velocity, and linear momentum. Can you name at least 2 everyday situations where physics plays a role and what physical principles are involved?

2. What is the difference between a vector and scalar distance? Name at least 2 examples from everyday life where each is used.

3. What is the difference between speed and velocity? between velocity and acceleration? Name at least one example from everyday life where each of these concepts (speed, velocity, acceleration) is important (3 total).

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The solution is a detailed explanation of scalar and vector operations. The solution is step by step in two different formats. The solution also contains helpful links for further studies.

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## Electricity & Magnetism Qualitative Problems

Here is a list of Qualitative problems which need the physics explained for each, diagrams, and equations with text are welcome.

1) The vector potential and the magnetic field inside and outside of a diamagnetic sphere in a uniform magnetic field

2) The vector potential and the magnetic field inside and outside of a uniformly magnetized sphere

3) Sketch the vector potential for at least four simple geometric cases, explain the sketches.

4) The electric potential and the electric field for (charge) monopoles, dipoles and quadrupoles

5) The vector potential and the magnetic field for (magnetic) monopoles, dipoles and quadrupoles

6) Surface polarization charges (aka, bound surface charges) versus volume polarization charges (aka, bound volume charges)

7) Surface magnetization currents (aka, bound surface currents) versus volume magnetization currents (aka, bound volume currents)

8) The relationship between the magnetic scalar potential and the magnetic field

9) The electric potential and the electric field inside capacitors containing dielectrics

10) The electric potential and the electric field inside capacitors containing ferroelectrics

11) The vector potential and the magnetic field inside inductors containing diamagnets

12) The vector potential and the magnetic field inside inductors containing ferromagnets

13) The displacement current and Maxwell's equations

14) E for a charge inside a dielectric; B for a point magnetic dipole inside a diamagnet

15) P for changing electric fields; M for changing magnetic fields

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