Question Solved1 Answer undefined The figure(Figure 1) shows a thin rod of length L with total charge Q Part A Find an expression for the electric field Ē at distance z from the end of the rod. Give your answer in component form. Express your answer in terms of the variables Q, L, I, unit vectors i, j, and appropriate constants. vo AEO ? Submit Request Answer Provide Feedback Figure < 1 of 1 + + + + + + + + + + + +

EJJ3GF The Asker · Physics

undefined

Transcribed Image Text: The figure(Figure 1) shows a thin rod of length L with total charge Q Part A Find an expression for the electric field Ē at distance z from the end of the rod. Give your answer in component form. Express your answer in terms of the variables Q, L, I, unit vectors i, j, and appropriate constants. vo AEO ? Submit Request Answer Provide Feedback Figure < 1 of 1 + + + + + + + + + + + +
More
Transcribed Image Text: The figure(Figure 1) shows a thin rod of length L with total charge Q Part A Find an expression for the electric field Ē at distance z from the end of the rod. Give your answer in component form. Express your answer in terms of the variables Q, L, I, unit vectors i, j, and appropriate constants. vo AEO ? Submit Request Answer Provide Feedback Figure < 1 of 1 + + + + + + + + + + + +
See Answer
Add Answer +20 Points
Community Answer
QFLQCE
See all the answers with 1 Unlock
Get 4 Free Unlocks by registration

The charge of rod having length L is Q So Line charge density (lambda)=(Q)/(L) consider an element having length dy which is situated at distance if from origin.The charge dq=lambda dyNow the electric field due to une charge element isd vec(E)=(1)/(4piepsilon_(0))(dq)/(r^(2)) hat(r)nere vec(r)=x hat(i)-y hat(j)hat(r)=(x( hat(i))-y( hat(j)))/(sqrt(x^(2)+y^(2)))So d vec(E)=(1)/(4piepsilon_(0))(lambda dy)/(x^(2)+y^(2))(x( hat(i))-y( hat(j)))/(sqrt(x^(2)+y^(2)))=>d vec(E)=(1)/(4piepsilon_(0))(lambda dy)/((x^(2)+y^(2))^(3//2))(x hat(i)-y hat(j))So the total electric field due to rod is{:[ vec(E)=int_(0)^(L)(1)/(4piepsi_(0))(lambda dy)/((x^(2)+y^(2))//2)(x hat(i)-y hat(j))],[=> vec(E)=(1)/(4piepsilon_(0))int_(0)^(L)lambda[(xdy( hat(i)))/((x^(2)+y^(2))^(3//2))-(ydy( hat(j)))/((x^(2)+y^(2))^(3//2))]],[" Here put "g=x tan theta],[dy=xsec^(2)theta ... See the full answer