3. The figure below shows a thin rod of length L with total charge Q. Charge Q is uniformly distributed along a thin flexible rod of length L. The rod is then bent into a semi-circle shown below. a. Find an expression for the electric field at the center of the semi-circle. Hint: A small piece of arc length As spans a small angle A0 = As/R, where R is the radius. b. Evaluate the field strength, if L = 10 cm and Q = 30 nC. Center
3. The figure below shows a thin rod of length L with total charge Q. Charge Q is uniformly distributed along a thin flexible rod of length L. The rod is then bent into a semi-circle shown below. a. Find an expression for the electric field at the center of the semi-circle. Hint: A small piece of arc length As spans a small angle A0 = As/R, where R is the radius. b. Evaluate the field strength, if L = 10 cm and Q = 30 nC. Center
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please follow this criteria and try to explain everything.
- Include a drawing of the charge distribution and the point at which the E-field is being evaluated.
- Include a sample vector diagram, showing the electric-field vectors for critical do's.
- Use the diagrams to help explain any cancellations due to symmetry.
- Set up the integrals to determine the non-zero electric-field components. Show your work reasoning for constructing the integrals.
- Assess: is your result reasonable? Do the solutions have the correct behavior far away from the charge?
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