11 0-15 TRA est the new sensor, the engineer sets up a region of magnetic field. The magnetic vector field is described by B = (0.0200 T-cm-³) x²yî + (0.0700 T-cm¯²) xyĵ – (0.267 T-cm¯³) xy² k at magnetic flux DB does the sensor measure? -5.1556 ×10 n X
11 0-15 TRA est the new sensor, the engineer sets up a region of magnetic field. The magnetic vector field is described by B = (0.0200 T-cm-³) x²yî + (0.0700 T-cm¯²) xyĵ – (0.267 T-cm¯³) xy² k at magnetic flux DB does the sensor measure? -5.1556 ×10 n X
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I tried adjusting the calculations to be in webber buy converting the centimeters to meters but it's still not right do you have another idea on how to solve this problem?
![**Magnetic Field and Flux Measurement**
**Diagram Description:**
The diagram illustrates a three-dimensional coordinate system with axes labeled \(x\), \(y\), and \(z\). A blue-shaded plane is positioned parallel to the \(xy\)-plane, and a vector \(\vec{n}\) is shown perpendicular to this plane, indicating the normal vector.
**Magnetic Field Vector:**
To test the new sensor, the engineer sets up a region of magnetic field. The magnetic vector field is described by:
\[
\vec{B} = (0.0200 \, \text{T}\cdot\text{cm}^{-3}) \, x^2 \, \hat{i} + (0.0700 \, \text{T}\cdot\text{cm}^{-2}) \, xy \, \hat{j} - (0.267 \, \text{T}\cdot\text{cm}^{-3}) \, xy^2 \, \hat{k}
\]
**Magnetic Flux:**
The problem posed is: What magnetic flux \(\Phi_B\) does the sensor measure?
Given answer:
\[
\Phi_B = -5.1556 \times 10^{-15} \, \text{Wb}
\]
This answer is marked as incorrect.
**Explanation:**
The description highlights an exercise in calculating the magnetic flux through a surface in a specified magnetic field. The negative result indicates the direction of the flux relative to the orientation of the surface normal. However, since it is labeled incorrect, there may be an error in calculation or assumptions used in deriving this result.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5cea27a3-f488-48f0-9862-8a0a0c810974%2F96c2b184-7dc0-4290-b3f9-ecd0012fd3c9%2Fh36htn_processed.png&w=3840&q=75)
Transcribed Image Text:**Magnetic Field and Flux Measurement**
**Diagram Description:**
The diagram illustrates a three-dimensional coordinate system with axes labeled \(x\), \(y\), and \(z\). A blue-shaded plane is positioned parallel to the \(xy\)-plane, and a vector \(\vec{n}\) is shown perpendicular to this plane, indicating the normal vector.
**Magnetic Field Vector:**
To test the new sensor, the engineer sets up a region of magnetic field. The magnetic vector field is described by:
\[
\vec{B} = (0.0200 \, \text{T}\cdot\text{cm}^{-3}) \, x^2 \, \hat{i} + (0.0700 \, \text{T}\cdot\text{cm}^{-2}) \, xy \, \hat{j} - (0.267 \, \text{T}\cdot\text{cm}^{-3}) \, xy^2 \, \hat{k}
\]
**Magnetic Flux:**
The problem posed is: What magnetic flux \(\Phi_B\) does the sensor measure?
Given answer:
\[
\Phi_B = -5.1556 \times 10^{-15} \, \text{Wb}
\]
This answer is marked as incorrect.
**Explanation:**
The description highlights an exercise in calculating the magnetic flux through a surface in a specified magnetic field. The negative result indicates the direction of the flux relative to the orientation of the surface normal. However, since it is labeled incorrect, there may be an error in calculation or assumptions used in deriving this result.
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