# Electricity and Magnetism case

Turn in your answers to the following problems:

1. (Rev 9/11) Two alpha particles, each with a charge of 3.20*10^{-19} C, are one Ångström (1 x 10^{-8 } cm) apart, in vacuum. What is the electrostatic force acting between them, in N? Is the force attractive or repulsive?

2. (Rev 2/11) If the force acting between two electrons (each with a negative charge of 1.602 x 10^{-19} C) is 3.8×10^{-9} N, then what is the electrical permittivity of the medium in which they are embedded? As in the problem above, the two electrons are one Ångström (1 x 10^{-8 }cm) apart.

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Order Paper Now3. An electron travels in a horizontal (x-y) plane and experiences a force in the vertical (z) direction due to a uniform magnetic field. (The force can be up or down.) Which are the possible directions for the magnetic field? Explain using the right hand rule.

4. (Rev 2/11) What is the magnetic field strength, in Teslas, one centimeter away from a long, straight electric wire carrying a current of 100A?

5. (Rev 5/11) A long straight wire carrying a current of 10 mA is immersed in a 5 T magnetic field.

- The magnetic field lines are perpendicular to the wire. What is the Lorenz force acting on the wire, in N per meter?
- The magnetic field lines are parallel to the wire. What is the Lorenz force acting on the wire, in N per meter?

## Case Assignment Expectations:

In general, Cases are expected to possess the attributes of precision, clarity, breadth, depth, and critical thinking. *Not all* of these are relevant to the answer to *every* problem in the case. When it *is* relevant, the evidence for each attribute is as follows.

- Precision: Numerical answers are calculated correctly, to the correct number of significant figures.
- Clarity: The problem is restated in its simplest form. Relevant variables are identified. Formulas are algebraically rearranged, as necessary. All the mathematical steps are shown, in logical order.
- Breadth: Where discussion is required, the question is placed in context. Alternatives are considered.
- Depth: Where discussion is required, the question is examined in detail. No relevant aspect of the question is omitted.
- Critical thinking: The correct analytical approach is selected. Relevant data areidentified and irrelevant data are ignored. When required, the practical importance of the principle or phenomenon is accurately described.

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