Plz solve within 40 min I vill give definitely upvote and vill give positive feedback thank you sir 4. Field above a spiral wireConsider a spiral of uniformly charged wire with charged per unit length 1. We'll assume that it isan Archimidean spiral where the radial coordinate is related to the angle bys = bowhere b> 0 is some constant with units of length and 0 varies from p = 0 to = R/b where R isthe maximum of the radial coordinate.1(b)part (a).(c)RWe will be interested in computing the 2 component of the electric field at a point r = z2 a heightz above the center of the spiral.(a)Show that the line element de for this curve is given by df = bodo when » 1.λ2E₂(r): =2πbShow that the total charge on the spiral is given by Q = AR²/(2b) in the limit fromShow that the component of the electric field along 2 at r= z2 is given byλ4лεobZ√R² +2²Hint: The integral is the same as was done in class for the charged disk. Assume the expres-sions from (a,b) hold for all o.

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4. Field above a spiral wire Consider a spiral of uniformly charged wire with charged per unit length 1. We'll assume that it is an Archimidean spiral where the radial coordinate is related to the angle by s = bo where b> 0 is some constant with units of length and 0 varies from = 0 to = R/b where R is the maximum of the radial coordinate. (b) (c) We will be interested in computing the 2 component of the electric field at a point r = z2 a height z above the center of the spiral. (a) Show that the line element de for this curve is given by df = bodo when >> 1. part (a). R λ 2 E₂(r) = 2лb Show that the total charge on the spiral is given by Q = AR²/(2b) in the limit from Show that the component of the electric field along 2 at r = z2 is given by λ ARGb ( 1 - VR²+Z) Hint: The integral is the same as was done in class for the charged disk. Assume the expres- sions from (a,b) hold for all o.

4. Field above a spiral wire Consider a spiral of uniformly charged wire with charged per unit length 1. We'll assume that it is an Archimidean spiral where the radial coordinate is related to the angle by s = bo where b> 0 is some constant with units of length and 0 varies from = 0 to = R/b where R is the maximum of the radial coordinate. (b) (c) We will be interested in computing the 2 component of the electric field at a point r = z2 a height z above the center of the spiral. (a) Show that the line element de for this curve is given by df = bodo when >> 1. part (a). R λ 2 E₂(r) = 2лb Show that the total charge on the spiral is given by Q = AR²/(2b) in the limit from Show that the component of the electric field along 2 at r = z2 is given by λ ARGb ( 1 - VR²+Z) Hint: The integral is the same as was done in class for the charged disk. Assume the expres- sions from (a,b) hold for all o.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Electric Fields

Section: Chapter Questions

Problem 23.28P: Consider n equal positively charged particles each of magnitude Q/n placed symmetrically around a...

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