Semicircular Wire A positively charged wire is bent into a semicircle of radius R, as shown in Figure 2.15.4. The total charge on the semicircle is Q. However, the charge per unit length along the semicircle is non-uniform and given by λ = λo θ cos . (a) What is the relationship betweenλo , R and Q? (b) If a charge q is placed at the origin, what is the total force on the charge? Attempts: a) dq = λdl = λRdθ dq = λo.cosθ.R.dθ Q = ∫(-pi/2 to pi/2) [λo.cosθ.R.dθ] Q = 2λoR b) Force in x axis = ((Ke.q.λo.cosθ.R.dθ)/(R^2))*sinθ integrating that in order to dθ, the result is zero. Force in y axis = ((Ke.q.λo.cosθ.R.dθ)/(R^2))*cosθ integrating that in order to dθ, the result is (Ke.q.λo/R)*(0.5*pi) Is that correct??