The goal is to find the electric field at the center of the semicircle below. There...
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The goal is to find the electric field at the center of the semicircle below. There is a total charge equal to Q = +40 nC distributed evenly along the semicircle, and its radius is r = 5.0 cm. E=? Q = +40nC Scm a) What is the charge density a in C / m ? b) If you cut out a small amount of arc length along the circle ds, as shown, then how is ds related to de, the amount of angle cut out? Hint: this comes directly from the definition of angle in radians. ds c) Note that this situation is not symmetric enough to use Gauss's Law, so you must use Coulomb's Law: kdQ E = r2 Utilizing dQ = Ads, and taking care to analyze the geometry and vector components properly, find E (both magnitude and direction). It is probably easier to keep everything in symbols at first and plug in the numbers at the end. Hint: dE kdQ d) Now find the voltage at that same point using the analogous V = S Hint: without f annoying you about vector components, this is much simpler. The goal is to find the electric field at the center of the semicircle below. There is a total charge equal to Q = +40 nC distributed evenly along the semicircle, and its radius is r = 5.0 cm. E=? Q = +40nC Scm a) What is the charge density a in C / m ? b) If you cut out a small amount of arc length along the circle ds, as shown, then how is ds related to de, the amount of angle cut out? Hint: this comes directly from the definition of angle in radians. ds c) Note that this situation is not symmetric enough to use Gauss's Law, so you must use Coulomb's Law: kdQ E = r2 Utilizing dQ = Ads, and taking care to analyze the geometry and vector components properly, find E (both magnitude and direction). It is probably easier to keep everything in symbols at first and plug in the numbers at the end. Hint: dE kdQ d) Now find the voltage at that same point using the analogous V = S Hint: without f annoying you about vector components, this is much simpler.
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Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
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