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A short horizontal Rod length L, is positively charged with uniform linear charge density, A = Q/L, where Q is the total Charge on the rod. L Infinitely Far A a. Find an expression for the potential difference between the test point A, a distance of a from the nearest end of the rod, and a test point B infinitely far to the right. Leave A, L and a as variables, and do not assume any special relationship between a and L for this. b. Find a numerical approximation for the potential difference of part a for the case a>>L (a is much larger than L, but not infinite) using conceptual reasoning and minimal math. Evaluate your expression a = 1.0m, L=1.0 x 10^-4 m, Q=1.0 x 10^-6 C, I am looking for a quantitative answer (not just "big or "small" or "decreasing",) one that you can evaluate without using a calculation. %3D

A short horizontal Rod length L, is positively charged with uniform linear charge density, A = Q/L, where Q is the total Charge on the rod. L Infinitely Far A a. Find an expression for the potential difference between the test point A, a distance of a from the nearest end of the rod, and a test point B infinitely far to the right. Leave A, L and a as variables, and do not assume any special relationship between a and L for this. b. Find a numerical approximation for the potential difference of part a for the case a>>L (a is much larger than L, but not infinite) using conceptual reasoning and minimal math. Evaluate your expression a = 1.0m, L=1.0 x 10^-4 m, Q=1.0 x 10^-6 C, I am looking for a quantitative answer (not just "big or "small" or "decreasing",) one that you can evaluate without using a calculation. %3D

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Answer both parts of this phy II problem

A short horizontal Rod length L, is positively charged with uniform linear charge density, A = Q/L, where Q is the total Charge on the rod. L Infinitely Far A a. Find an expression for the potential difference between the test point A, a distance of a from the nearest end of the rod, and a test point B infinitely far to the right. Leave A, L and a as variables, and do not assume any special relationship between a and L for this. b. Find a numerical approximation for the potential difference of part a for the case a>>L (a is much larger than L, but not infinite) using conceptual reasoning and minimal math. Evaluate your expression a = 1.0m, L=1.0 x 10^-4 m, Q=1.0 x 10^-6 C, I am looking for a quantitative answer (not just "big or "small' or "decreasing",) one that you can evaluate without using a calculation.
Transcribed Image Text:A short horizontal Rod length L, is positively charged with uniform linear charge density, A = Q/L, where Q is the total Charge on the rod. L Infinitely Far A a. Find an expression for the potential difference between the test point A, a distance of a from the nearest end of the rod, and a test point B infinitely far to the right. Leave A, L and a as variables, and do not assume any special relationship between a and L for this. b. Find a numerical approximation for the potential difference of part a for the case a>>L (a is much larger than L, but not infinite) using conceptual reasoning and minimal math. Evaluate your expression a = 1.0m, L=1.0 x 10^-4 m, Q=1.0 x 10^-6 C, I am looking for a quantitative answer (not just "big or "small' or "decreasing",) one that you can evaluate without using a calculation.
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