Write integrals that describe the x and y-components of the electric field at point P in each problem below. To do so, perform the following for each diagram: 1. Qualitatively determine the direction of the electric field at point P and decide whether either component is zero. In addition, identify any symmetries that can be used to simplify the remaining components. 2. Label the diagram with EVERY variable that you will include in your integrals. 3. Write an expression for the charge dQ of a short segment of the charged object in terms of the variables that you labeled in your diagram. 4. Write expressions for dEx and dE,, the two components of the electric field at point P by the short segment of the charged object. 5. Complete the integrals by determining the limits of integration. dy day dQ= Ex= Ey = Q L 2² ²³²Ex = √dEx Ey = √dEy √√2²+x² dz-kday 1² Q dQH ++ +O H Ex= Ey = P +++++ r Q ++++

Write integrals that describe the x and y-components of the electric field at point P in each problem below. To do so, perform the following for each diagram: 1. Qualitatively determine the direction of the electric field at point P and decide whether either component is zero. In addition, identify any symmetries that can be used to simplify the remaining components. 2. Label the diagram with EVERY variable that you will include in your integrals. 3. Write an expression for the charge dQ of a short segment of the charged object in terms of the variables that you labeled in your diagram. 4. Write expressions for dEx and dE,, the two components of the electric field at point P by the short segment of the charged object. 5. Complete the integrals by determining the limits of integration. dy day dQ= Ex= Ey = Q L 2² ²³²Ex = √dEx Ey = √dEy √√2²+x² dz-kday 1² Q dQH ++ +O H Ex= Ey = P +++++ r Q ++++