ch22-p063 - 63. First, we need a formula for the field due...

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63. 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 22-3 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 [] arc 00 2s i n (/ 2 ) sin( / 2) sin( / 2) 44 E rr λ λθ θθ πε =− = . Now, the arc length is L = r θ with θ is expressed in radians. Thus, using R instead of
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