Exercise 2 – 5 points V Y w dl Er(2) 0 L Figure 2: Explicative for Exercise 2. Let the configuration in Fig. 2, consisti

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Exercise 2 5 Points V Y W Dl Er 2 0 L Figure 2 Explicative For Exercise 2 Let The Configuration In Fig 2 Consisti 1 (214.06 KiB) Viewed 70 times

Exercise 2 – 5 points V Y w dl Er(2) 0 L Figure 2: Explicative for Exercise 2. Let the configuration in Fig. 2, consisting of a parallel-plate capacitor with perfectly conducting plates of dimensions L and w, the spacing between its plates being d. The capacitor is filled with a dielectric with variable relative permittivity I Er(x) = Er,lī +€1,25 L- L with Er,1 > 1 and €r,2 > 1, Er,1 + Er,2. a) Upon neglecting fringing effects, determine the capacitor's capacitance C. (2 points) b) The capacitor is connected to a DC voltage source generating the voltage V. After electrostatic equilibrium was established, the DC source is disconnected. Determine the charge Q(x) stored in the capacitor. (1 point) c) Determine the electrostatic energy U stored in the capacitor. (1 point) d) Justify your choice of the expression employed at sub-point (c). (1 point) Hint: Please pay attention at the condition under which the electrostatic energy stored in the capacitor is calculated and at the possible exchange of energy with the exterior.