37. SA thin rod of length and uniform charge per unit length A lies along the...

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37. SA thin rod of length and uniform charge per unit length A lies along the x axis as shown in Figure P23.37. (a) Show that the electric field at P, a distance d from the rod along its perpendic- ular bisector, has no x component and is given by E = 2kA sin 0/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E= 2k,/d. d P Figure P23.37 37. SA thin rod of length and uniform charge per unit length A lies along the x axis as shown in Figure P23.37. (a) Show that the electric field at P, a distance d from the rod along its perpendic- ular bisector, has no x component and is given by E = 2kA sin 0/d. (b) What If? Using your result to part (a), show that the field of a rod of infinite length is E= 2k,/d. d P Figure P23.37