| rdfs:comment | - Consider an infinite line of charge along the x axis with a charge density . Using Gauss's law, we find at a distance r from the line of charge, the magnitude of the electric field is . The direction is radially away from the line, i.e. proportional to the angle with the y-axis . We have basically just specified the electric field using polar coordinates. We can convert to cartesian coordinates to get: (yes, the curl is zero). I used this to solve tutorial 3 extra problem 1.
- A1 - When making decisions, evaluate conclusions, weigh evidence, and recognize that arguments may not have equal merit. A2 - Assess the risks and benefits associated with alternative solutions A3 - Engage in collaboration, peer review, and accurate reporting of findings. A4 - Explore cases that demonstrate the interdisciplinary nature of the scientific enterprise. B1 - Select and use appropriate instrumentation to design and conduct investigations. B2 - Show that experimental results can lead to new questions and further investigations
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| abstract | - A1 - When making decisions, evaluate conclusions, weigh evidence, and recognize that arguments may not have equal merit. A2 - Assess the risks and benefits associated with alternative solutions A3 - Engage in collaboration, peer review, and accurate reporting of findings. A4 - Explore cases that demonstrate the interdisciplinary nature of the scientific enterprise. B1 - Select and use appropriate instrumentation to design and conduct investigations. B2 - Show that experimental results can lead to new questions and further investigations C1 - Understand, evaluate and practice safe procedures for conducting science investigations B1 - Examine the lives and contributions of important scientists who effected major breakthroughs in our understanding of the natural and designed world. B3 - Describe the historical origin of important scientific developments… showing how scientific theories develop, are tested, and can be replaced or modified in light of new information and improved investigative techniques. A1 - Reinforce indicators from previous grade levels (estimation, measurements, and computations of quantities, orders of magnitude, expressing quantities in decimals, scientific notation, fractions, percents and integers) B1 - When performing mathematical operations with measured quantities, express answers to reflect the degree of precision and accuracy of the input data. C1 - Apply mathematical models that describe physical phenomena to predict real world events. D1 - Construct and interpret graphs to represent inverse and non-linear relationships and statistical distributions. A1 - Know that scientific inquiry is driven by the desire to understand the natural world and seeks to answer questions that may or may not directly influence humans, while technology is driven by the need to meet human needs and solve human problems. A4 - Recognize that electrically charged bodies can attract or repel each other with a force that depends upon the size and nature of the charges and the distance between them and know that electric forces play an important role in explaining the structure and properties of matter. B1 - Explain how the various forms of energy (heat, electricity, sound, light) move through materials and identify the factors that affect that movement.
- Consider an infinite line of charge along the x axis with a charge density . Using Gauss's law, we find at a distance r from the line of charge, the magnitude of the electric field is . The direction is radially away from the line, i.e. proportional to the angle with the y-axis . We have basically just specified the electric field using polar coordinates. We can convert to cartesian coordinates to get: (yes, the curl is zero). I used this to solve tutorial 3 extra problem 1.
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