17. Let D=(8x+4x³)a,- 2ya, + 2za, C/m². (a) Use Gauss's law to determine the charge enclosed in the cubical region, a<xy,<a. (b) Use Eq. (8) to obtain an approximate value for the above charge. Evaluate the derivatives at the center of the volume. (c) Show that your answers agree in the limit as a becomes very small.
17. Let D=(8x+4x³)a,- 2ya, + 2za, C/m². (a) Use Gauss's law to determine the charge enclosed in the cubical region, a<xy,<a. (b) Use Eq. (8) to obtain an approximate value for the above charge. Evaluate the derivatives at the center of the volume. (c) Show that your answers agree in the limit as a becomes very small.
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17. Let D=(8x+4x³)a,- 2ya, + 2za, C/m². (a) Use Gauss's law to determine the charge enclosed in the cubical region, a<xy,<a. (b) Use Eq. (8) to obtain an approximate value for the above charge. Evaluate the derivatives at the center of the volume. (c) Show that your answers agree in the limit as a becomes very small.
