<p>A rod of length 2L lies on the x axis, centered at the origin, and carries a
ID: 2042865 • Letter: #
Question
<p>A rod of length 2L lies on the x axis, centered at the origin, and carries a line charge density given by λ=λ<sub>0</sub> (x/L) , where λ<sub>0 </sub>is a constant.</p>
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<div class="partText">Find an expression for the electric field strength at points on the <img title="x" src="/render?var=x" alt="x" align="middle" /> axis, for <img src="/render?tex=x%7B%5Ckern+1pt%7D+%3E+L" alt="x{kern 1pt} > L" align="middle" />.        </div>
<div class="partInstructions">Express your answer in terms of <img src="/render?tex=%5Chat+i" alt="hat i" align="middle" />, <img src="/render?tex=%5Chat+j" alt="hat j" align="middle" />, <img src="/render?tex=%5Clambda_0" alt="lambda_0" align="middle" />, <img src="/render?tex=L" alt="L" align="middle" />, <img src="/render?tex=x" alt="x" align="middle" />, <img src="/render?tex=k" alt="k" align="middle" />.</div>
<div class="partInstructions">Show that for <img src="/render?tex=x%7B%5Ckern+1pt%7D+%5C%2C%5C%2C+%5Cgg++%7B%5Ckern+1pt%7D+L" alt="x{kern 1pt} ,, gg {kern 1pt} L" align="middle" />, your result has the <img src="/render?tex=1%2Fx%5E3" alt="1/x^3" align="middle" /> dependence of a dipole field, and by comparison, determine the dipole moment of the rod.       </div>
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