Question Solved1 Answer Problem 23.43 The figure (Figure 1) shows a thin rod of length L with total charge Q- Part A Find an expression for the electric field strength on the axis of the rod at distance r from the center. Express your answer in terms of the variables L, Q, r, and appropriate constants. IV ΠΙ ΑΣΦ ? kQ E= 1 Submit Previous Answers Request Answer X Incorrect; Try Again The correct answer involves the variable L, which was not part of your answer. Figure < 1 of 1 > Part B Verify that your expression has the expected behavior ifr »L. Express your answer in terms of variables Q, r and constants I, 50- L EVO AL ? ++++++++++++ E = Submit Request Answer
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Transcribed Image Text: Problem 23.43 The figure (Figure 1) shows a thin rod of length L with total charge Q- Part A Find an expression for the electric field strength on the axis of the rod at distance r from the center. Express your answer in terms of the variables L, Q, r, and appropriate constants. IV ΠΙ ΑΣΦ ? kQ E= 1 Submit Previous Answers Request Answer X Incorrect; Try Again The correct answer involves the variable L, which was not part of your answer. Figure < 1 of 1 > Part B Verify that your expression has the expected behavior ifr »L. Express your answer in terms of variables Q, r and constants I, 50- L EVO AL ? ++++++++++++ E = Submit Request Answer
More Transcribed Image Text: Problem 23.43 The figure (Figure 1) shows a thin rod of length L with total charge Q- Part A Find an expression for the electric field strength on the axis of the rod at distance r from the center. Express your answer in terms of the variables L, Q, r, and appropriate constants. IV ΠΙ ΑΣΦ ? kQ E= 1 Submit Previous Answers Request Answer X Incorrect; Try Again The correct answer involves the variable L, which was not part of your answer. Figure < 1 of 1 > Part B Verify that your expression has the expected behavior ifr »L. Express your answer in terms of variables Q, r and constants I, 50- L EVO AL ? ++++++++++++ E = Submit Request Answer
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Total charse =O/length of rod =e=> linear charse densidy,lambda=(Q)/(L)(A)Take an element of of the rodcharse on element, dq=ddxElectric field at P due to dqdE=(kdz)/((gamma-x)^(2))=(kddx)/((gamma-x)^(2))Net electric field at P{:[E=int dE=int_(-(L)/(2))^((L)/(2))(kddx)/((gamma-x)^(2))],[E=kdint_(-(L)/(2))^((L)/(2))(dx)/((x-x)^(2))],[=kd[(1)/(-(x-x)xx(-1))]_(-(L)/(2))^(L//2)]:}{:[=k lambda[(1)/(gamma-(L)/(2))-(1)/(gamma-(-(L)/(2)))]],[=k lambda[(2)/(2gamma-L ... See the full answer