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3.9.[1] A uniform volume charge density of 80 µC/m3 is present throughout the region 8mm < r < 10mm. Let p, = 0 for 0 10 mm, find D, at r = 20 mm. 3.10.[1] A cube is defined by 1< x, y, z < 1.2. If D = 2x?y a, + 3x?y? a, C/m?: (a) apply Gauss's law to find the total flux leaving the closed surface of the cube; (b) evaluate ax at the center of the cube, (c) Estimate the total charge ду az enclosed within the cube by using Equation below. aD, aD: Charge enclosed in volume Av = ax x volume Av 3.11.[1] Let a vector field be given by G = 5x?y?z?ay. Evaluate both sides of Eq. aD, aD: ax x volume Av Charge enclosed in volume Au = For this G field and the volume defined by x = 3 and 3.1, y = 1 and 1.1, and z = 2 %3! and 2.1. Evaluate the partial derivatives at the center of the volume.

3.9.[1] A uniform volume charge density of 80 µC/m3 is present throughout the region 8mm < r < 10mm. Let p, = 0 for 0 10 mm, find D, at r = 20 mm. 3.10.[1] A cube is defined by 1< x, y, z < 1.2. If D = 2x?y a, + 3x?y? a, C/m?: (a) apply Gauss's law to find the total flux leaving the closed surface of the cube; (b) evaluate ax at the center of the cube, (c) Estimate the total charge ду az enclosed within the cube by using Equation below. aD, aD: Charge enclosed in volume Av = ax x volume Av 3.11.[1] Let a vector field be given by G = 5x?y?z?ay. Evaluate both sides of Eq. aD, aD: ax x volume Av Charge enclosed in volume Au = For this G field and the volume defined by x = 3 and 3.1, y = 1 and 1.1, and z = 2 %3! and 2.1. Evaluate the partial derivatives at the center of the volume.

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3.9.[1] A uniform volume charge density of 80 uC/m3 is present throughout the region 8mm <r< 10mm. Let p, = 0 for 0 <r< 8mm. (a) Find the total charge inside the spherical surface r = 10mm. (b) Find D, at r = 10 mm. (c) If there is no charge for r > 10 mm, find D, at r= 20 mm. 3.10.[1] A cube is defined by 1 < x, y, z < 1.2. If D = 2x?y a, + 3x?y? a, C/m2: (a) apply Gauss's law to find the total flux leaving the closed surface of the cube; (b) dAx + dAy + đ4 at the center of the cube, (c) Estimate the total charge ду evaluate dz enclosed within the cube by using Equation below. Charge enclosed in volume Av = ax aD, aD, aD. az x volume Av 3.11.[1] Let a vector field be given by G = 5x?y?z²ay. Evaluate both sides of Eq. %3D Charge enclosed in volume Av = ax aD,, aD, az aD: x volume Av For this G field and the volume defined by x = 3 and 3.1, y = 1 and 1.1, and z = 2 and 2.1. Evaluate the partial derivatives at the center of the volume.
Transcribed Image Text:3.9.[1] A uniform volume charge density of 80 uC/m3 is present throughout the region 8mm <r< 10mm. Let p, = 0 for 0 <r< 8mm. (a) Find the total charge inside the spherical surface r = 10mm. (b) Find D, at r = 10 mm. (c) If there is no charge for r > 10 mm, find D, at r= 20 mm. 3.10.[1] A cube is defined by 1 < x, y, z < 1.2. If D = 2x?y a, + 3x?y? a, C/m2: (a) apply Gauss's law to find the total flux leaving the closed surface of the cube; (b) dAx + dAy + đ4 at the center of the cube, (c) Estimate the total charge ду evaluate dz enclosed within the cube by using Equation below. Charge enclosed in volume Av = ax aD, aD, aD. az x volume Av 3.11.[1] Let a vector field be given by G = 5x?y?z²ay. Evaluate both sides of Eq. %3D Charge enclosed in volume Av = ax aD,, aD, az aD: x volume Av For this G field and the volume defined by x = 3 and 3.1, y = 1 and 1.1, and z = 2 and 2.1. Evaluate the partial derivatives at the center of the volume.
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