Lab4 - Lab 4: Electric Field of a Uniformly Charged Rod Lab...

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Lab 4: Electric Field of a Uniformly Charged Rod Lab 4: Electric Field of a Uniformly Charged Rod OBJECTIVES In this lab you will Diagram the plane for a complex VPython program Create a program to display the E field form a charged rod at any point Practice calculating the E field due to charged objects From class and the text, you have learned that there is a relatively simple formula for finding the Electric field on the central, perpendicular axis of a uniformly charge rod: ±² ³ ´µ¶ · ¸ ¹ º»º ¼ ½ ¾¿ À Á  ¼ Ã Ä ³ ´µ¶ · À ¹ ¿ Á º where r is the distance from the midpoint of the rod to the observation location, Q is the total charge of the rod, and L is the length of the rod. If the rod is significantly longer than the distance r, then the Electric Field is approximately equal to the right-most expression above. If Q is positive, the field is radially away from the rod, and if Q is negative, the E-field is directed radially inward. To calculate the electric field at other locations, you must perform a difficult integral. You will make VPython do something approaching an integral by modeling a charged rod as a line of point charges. If you then make the number of point charges very large, VPython will do a summation that is almost as accurate as an integral. You will write a VPython program to allow you to easily calculate the electric field, due to a charged rod, at any point in space. 1) Warm Up Problem Problem 1) Redraw the figure below in your work space and show an approximate location where the electric field will be perpendicular to the rod (note the non uniform charge distribution).
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Lab 4: Electric Field of a Uniformly Charged Rod 2) Program Design The rod you will be using has a length 2 m, and a total charge of 3 x 10 -8 C. You will divide the rod into N number of pieces (6 to begin), which you will approximate by point charges. Then you will apply the superposition principle to get the net field at the observation location. In your program, you will write a loop to “step” through the rod piece by piece, starting at the left end and moving to the right. You will find the E field from each small piece and then sum those fields to get the net field. The following tasks and questions will help you create algebraic expressions for important quantities to use in the program. Consider a rod of length 2 m, oriented along the x-axis, with the center of the rod at the origin.
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Lab4 - Lab 4: Electric Field of a Uniformly Charged Rod Lab...

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