9. 9a) A vector field A has divergence ? ⋅ ? = 0 everywhere. Represent (draw)...
9. 9a) A vector field A has divergence ? ⋅ ? = 0 everywhere. Represent (draw) how A could look like (one possible vector field whose divergence is null everywhere).
9b) A vector field A has divergence ? ⋅ ? > 0 in the origin of the axis. Draw how A could look like (one possible vector field whose divergence is null everywhere).
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9. 9a) A vector field A has divergence ? ⋅ ? = 0 everywhere.
Represent (draw)...
44. The vector field F has F 7 everywhere and C is the circle of radius 1 centered at the origin....
44. The vector field F has F 7 everywhere and C is the circle of radius 1 centered at the origin. What is the largest possible value of F dr? The smallest possible value? What conditions lead to these values?
44. The vector field F has F 7 everywhere and C is the circle of radius 1 centered at the origin. What is the largest possible value of F dr? The smallest possible value? What conditions lead to these values?
A) The following vector field State whether the divergence of at point A is positive, negati...
a)
The following vector field
State whether the divergence of
at point A is positive, negative or zero.
b) Say if the rotational of
at point B is a null vector, which points in the direction of the
z-axis or points in the negative direction of z.
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履 2 0 2 4
Full working out and answers please. Vector Fields A vector field has a more complicated derivative,...
Full working out and answers please.
Vector Fields A vector field has a more complicated derivative, because as you go from point to point in the field, you find that not only the magnitude of the vector can be changing, but also its direction Think of a vector field v(..); for instance, the flow velocity of a turbulent gas through some part of space. At each point, v has a certain magnitude and direction. Alternatively, we can split v up...
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 ...
Just question 5
Only question 5
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How...
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 ...
Just question 6
Question 5
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How does the flow change...
9. (1) If a vector A has components Ax>0, and Ay > 0, then the angle...
9. (1) If a vector A has components Ax>0, and Ay > 0, then the angle that this vector makes with the positive x-axis must be in the range a. 0° to 90° b. 90° to 180° c. 180° to 270° d. 270° to 360° e. cannot be determined without additional information
A 1.94 10-9 C charge has coordinates x = 0, y = −2.00; a 2.88 10-9...
A 1.94 10-9 C charge has coordinates x = 0, y = −2.00; a 2.88 10-9 C charge has coordinates x = 3.00, y = 0; and a -5.40 10-9 C charge has coordinates x = 3.00, y = 4.00, where all distances are in cm. Determine magnitude and direction for the electric field at the origin and the instantaneous acceleration of a proton placed at the origin. (a) Determine the magnitude and direction for the electric field at the...
A 1.94 10-9 C charge has coordinates x = 0, y = −2.00; a 2.88 10-9...
A 1.94 10-9 C charge has coordinates x = 0, y = −2.00; a 2.88 10-9 C charge has coordinates x = 3.00, y = 0; and a -5.40 10-9 C charge has coordinates x = 3.00, y = 4.00, where all distances are in cm. Determine magnitude and direction for the electric field at the origin and the instantaneous acceleration of a proton placed at the origin. (a) Determine the magnitude and direction for the electric field at the...
A 2.20 10-9 C charge has coordinates x = 0, y = −2.00; a 3.18 10-9...
A 2.20 10-9 C charge has
coordinates x = 0, y = −2.00; a 3.18 10-9 C charge has coordinates
x = 3.00, y = 0; and a -4.95 10-9 C charge has coordinates x =
3.00, y = 4.00, where all distances are in cm. Determine magnitude
and direction for the electric field at the origin and the
instantaneous acceleration of a proton placed at the origin.
A 2.20 × 10-9C charge has coordinates x = 0, y =-2.00;...
44. The vector field F has F 7 everywhere and C is the circle of radius 1 centered at the origin. What is the largest possible value of F dr? The smallest possible value? What conditions lead to these values?
44. The vector field F has F 7 everywhere and C is the circle of radius 1 centered at the origin. What is the largest possible value of F dr? The smallest possible value? What conditions lead to these values?
a)
The following vector field
State whether the divergence of
at point A is positive, negative or zero.
b) Say if the rotational of
at point B is a null vector, which points in the direction of the
z-axis or points in the negative direction of z.
We were unable to transcribe this image履 2 0 2 4 We were unable to transcribe this imageWe were unable to transcribe this image
履 2 0 2 4
Full working out and answers please.
Vector Fields A vector field has a more complicated derivative, because as you go from point to point in the field, you find that not only the magnitude of the vector can be changing, but also its direction Think of a vector field v(..); for instance, the flow velocity of a turbulent gas through some part of space. At each point, v has a certain magnitude and direction. Alternatively, we can split v up...
Just question 5
Only question 5
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How...
Just question 6
Question 5
In a bathtub, the velocity of water near2 the drain is given by the vector field (22 +1)2222 + 1 where r, y, and z are measured in centimeters and (0, 0,0) is at the center of the drain. 1. Rewriting F as follows, describe in words how the water is moving: Consider each of the three terms in equation (4). (Look at some plots.) For fixed z, what is the flow like? How does the flow change...
9. (1) If a vector A has components Ax>0, and Ay > 0, then the angle that this vector makes with the positive x-axis must be in the range a. 0° to 90° b. 90° to 180° c. 180° to 270° d. 270° to 360° e. cannot be determined without additional information
A 2.20 10-9 C charge has
coordinates x = 0, y = −2.00; a 3.18 10-9 C charge has coordinates
x = 3.00, y = 0; and a -4.95 10-9 C charge has coordinates x =
3.00, y = 4.00, where all distances are in cm. Determine magnitude
and direction for the electric field at the origin and the
instantaneous acceleration of a proton placed at the origin.
A 2.20 × 10-9C charge has coordinates x = 0, y =-2.00;...
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