(iii) What is the electric field between coaxial cylinders of unit length in a coaxial cable? Hint: Use symmetry and cylindrical coordinates to express E = PE, and apply Gauss's -Ps b Figure 1.12: Figure for Problem 1-2 for a coaxial cylinder.
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- Problem 2.01. Three plates with surface charge density |o| = 8.85 μC/mm² are stacked on top of each other. The top and bottom plates have charge density to while the center plate has charge density -0. (a) Find the magnitude and direction of the electric field between the plates. (b) Find the magnitude and direction of the electric field above and below the plate stack.Suppose we have a charge, q1=3 μC. This charge makes an electric field some distance r=69 cm away from it. Now suppose our measurement of q1 is only accurate to within 0.1 μC, and our measurement of r is only accurate to within 1 cm. a)If we were to calculate the electric field made by that charge at the indicated distance, what would be the uncertainty in our calculation due only to the uncertainty in the size of q1? b)What is the uncertainty in our field calculation due only to the uncertainty in the charge separation r? c)What is the total uncertainty in our electric field calculation due to the uncertainty in the size of q1 and the uncertainty in the charge separation r?An infinitely long cylindrical conductor of a radius r is charged with a uniformly distributed electrical charge, if the charge per unit length of it equal A coulomb/m. ( using gauss law) calculate the electric field at point d. d.
- [Numbers change] In the early 1900's Robert Millikan discovered the peculiar property that charge came in little packets, no smaller than e = 1.602 x 10-19 C -- he had measured the charge of the electron. Here's (roughly) how he did it. He removed an electron from an initially neutral droplet of oil with diameter 0.8 um. In a vacuum, he positioned the droplet between two metallic plates separated by 4 mm and fiddled with the potential (voltage) across the plates until the droplet would hover against the force of gravity. Droplets of this size with +e charge would hover, but only for a particular voltage (otherwise they would sink or rise). Given the parameters stated here, and the fact that the density of the oil was 815 kg/m³, what was the voltage that made the droplets hover? (give your answer with 0.1 V precision)In the early 1900's Robert Millikan discovered the peculiar property that charge came in little packets, no smaller than e = 1.602 x 10-19 C -- he had measured the charge of the electron. Here's (roughly) how he did it. He removed an electron from an initially neutral droplet of oil with diameter 0.5 ??μm. In a vacuum, he positioned the droplet between two metallic plates separated by 6 mm and fiddled with the potential (voltage) across the plates until the droplet would hover against the force of gravity. Droplets of this size with +e charge would hover, but only for a particular voltage (otherwise they would sink or rise). Given the parameters stated here, and the fact that the density of the oil was 831 kg/m3, what was the voltage that made the droplets hover? (give your answer with 0.1 V precision)