R -e α What is the x component of the electric field at the origin? (Enter your responses in terms of the symbolic quantities mentioned in the problem. To make things easier, just write the letter "a" for the angle a, and use the Coulomb constant rather than the unwieldy 1/4n Ex = k*Q*sin(a)/(a*R^2) Computer's answer now shown above. Tries 0/6 What is the y component of the electric field at the origin? Ey k*Q*(1-cos(a))/(a*R^2) Computer's answer now shown above. Tries 0/6 Follow the steps outlined in class and in the textbook: 1. Use a diagram to explain how you'll cut up the charge distribution, and draw the AE contributed by a representative piece of charge at a given location. 2. Express algebraically the contribution each piece makes to each vector component of the electric field. Indicate explicitly what your integration variable is, and which quantities are merely parameters.
R -e α What is the x component of the electric field at the origin? (Enter your responses in terms of the symbolic quantities mentioned in the problem. To make things easier, just write the letter "a" for the angle a, and use the Coulomb constant rather than the unwieldy 1/4n Ex = k*Q*sin(a)/(a*R^2) Computer's answer now shown above. Tries 0/6 What is the y component of the electric field at the origin? Ey k*Q*(1-cos(a))/(a*R^2) Computer's answer now shown above. Tries 0/6 Follow the steps outlined in class and in the textbook: 1. Use a diagram to explain how you'll cut up the charge distribution, and draw the AE contributed by a representative piece of charge at a given location. 2. Express algebraically the contribution each piece makes to each vector component of the electric field. Indicate explicitly what your integration variable is, and which quantities are merely parameters.
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Transcribed Image Text:Consider a thin plastic rod bent into an arc of radius R and angle a. The rod carries a uniformly distributed negative charge -Q. (Note: the diagram may have the incorrect sign.)
y
α
R
-Q
X
What is the x component of the electric field at the origin?
(Enter your responses in terms of the symbolic quantities mentioned in the problem. To make things easier, just write the letter "a" for the angle a, and use the Coulomb constant k rather than the unwieldy 1/4no.)
Ex = k*Q*sin(a)/(a*R^2)
Computer's answer now shown above. Tries 0/6
What is the y component of the electric field at the origin?
Ey = k*Q*(1-cos(a))/(a*R^2)
Computer's answer now shown above. Tries 0/6
Follow the steps outlined in class and in the textbook:
1. Use a diagram to explain how you'll cut up the charge distribution, and draw the AE contributed by a representative piece of charge at a given location.
2. Express algebraically the contribution each piece makes to each vector component of the electric field. Indicate explicitly what your integration variable is, and which quantities are merely parameters.
3. Write the summation as an integral, with explicitly chosen limits of integration. Simplify your integral as much as possible, and evaluate it.
4. Show that your result is reasonable. Apply as many tests and limiting cases as you can think of.
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