391 uniform volume charge density of 80 pcm is present throughout the region 8mm r 1omm let pv 0

Name: 391 uniform volume charge density of 80 pcm is present throughout the region 8mm r 1omm let pv 0 for 0 r 8mm a find the total charge inside the spherical surface r 1omm b find d at r 10 mm c 39692
Uploaded: 2023-05-28T02:37:37-08:00
Duration: 1 min 21 s
Channel: Numerade
Description: 391 uniform volume charge density of 80 pcm is present throughout the region 8mm r 1omm let pv 0 for 0 r 8mm a find the total charge inside the spherical surface r 1omm b find d at r 10 mm c 39692

Q is equal to integral of integral of integral PV DV so here it can be written as integral of in

Hi, in the first part of the question we have x lies between minus 3 meter to 3 meters and y lie

So in this question we're told we have a charge density of 80 microculems per meter cubed, when

Okay, so this is a question about Gauss's law. So we've got a inner sphere, which isn't conducti

Question

3.9, [1] A uniform volume charge density of 80 pC/mÂ³ is present throughout the region 8 mm < r < 10 mm. Let pv = 0 for 0 < r < 8 mm. (a) Find the total charge inside the spherical surface r = 10 mm. (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 = Zxzy ax + 3xÂ²yÂ² ay C/mÂ², apply Gauss' law to find the total flux leaving the closed surface of the cube. (b) Evaluate D at the center of the cube. (c) Estimate the total charge enclosed within the cube by using the equation below. 3.14, [1] Let the vector field be given by G = SxÂ²yÂ²zÂ² ay. Evaluate both sides of the equation: Charge enclosed in volume Av volume 47 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.

          3.9, [1] A uniform volume charge density of 80 pC/mÂ³ is present throughout the region 8 mm < r < 10 mm. Let pv = 0 for 0 < r < 8 mm. 
    (a) Find the total charge inside the spherical surface r = 10 mm.
    (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 = Zxzy ax + 3xÂ²yÂ² ay C/mÂ², apply Gauss' law to find the total flux leaving the closed surface of the cube.
    (b) Evaluate D at the center of the cube.
    (c) Estimate the total charge enclosed within the cube by using the equation below.
    
    3.14, [1] Let the vector field be given by G = SxÂ²yÂ²zÂ² ay. Evaluate both sides of the equation:
    Charge enclosed in volume Av
    volume 47
    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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