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Unformatted text preview: 3-1PRINCETON UNIVERSITY PHYSICS 106 LAB Laboratory 2: Div, Grad, Curl and All That 1. GoalIt is difficult to measure electric fields directly. In this lab, you will model electric fields using resistive paper and conductive paint. Until the advent of modern computers, this was in fact how electric and magnetic fields were calculated for complicated geometries. This technique was used to design the cyclotron magnet you will be meeting in labs later in the term. In another recent application a resistive model was made to double-check a computer calculation of a field within part of a microchip that was being designed in the physics department. 2. PrincipleBecause the paper is resistive, voltage differences will cause current to flow. The current will follow the path that electric field lines would in free space. Because the paper is two-dimensional, it corresponds to a cross-section of an infinitely long three-dimensional body or bodies. Thus, a dot corresponds to a long line, a line to a plane, a circle to a cylinder, etc. 3. The Artist in You: Making Conductor Patterns You should make three patterns: 1.Two parallel lines about 6 centimeters apart that run nearly the length of the paper. 2.Two circles, of radius R13 cm and R26 cm separated (center to center) by 12-15 cm....
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