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ch22_p28 - 28 First we need a formula for the field due to...

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28. First, we need a formula for the field due to the arc. We use the notation λ for the charge density, λ = Q /L . Sample Problem 22-4 illustrates the simplest approach to circular arc field problems. Following the steps leading to Eq. 22-21, we see that the general result (for arcs that subtend angle θ ) is E arc = λ 4 πε o r [sin( θ / 2 ) − sin( θ / 2 ) ] = λ sin (θ/ 2 ) 2 πε o r . Now, the arc length is
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