Questions: 9. The SI unit of the B field (Magnetic field) is called Tesla T. The B field is measured in nano-Tesla (1 nT=1 x 10^-9 T) on the NOAA website. In the App the units used are micro-Tesla and 1 micro-Tesla is equal to 1 x 10^-6 T. If you are in the USA, on average on the App you expect to see around 50 microTesla for the B total. 10. Using trigonometry, plus the values of B21 and By determine the inclination angle. The formula you want to use is the following: Inclination angle = inverse tangent (B z component / B y component) => θ = tan^-1 (B z component / B y component).

9. The SI unit of the B field (Magnetic field) is called Tesla T. The B field is measured in nano-Tesla (1 nT=1 x 10^-9 T) on the NOAA website. In the App the units used are micro-Tesla and 1 micro-Tesla is equal to 1 x 10^-6 T. If you are in the USA, on average on the App you expect to see around 50 microTesla for the B total.
10. Using trigonometry, plus the values of B21 and By determine the inclination angle.

The formula you want to use is the following:
Inclination angle = inverse tangent (B z component / B y component) =>
θ = tan^-1 (B z component / B y component).

Transcript text: 9. The SI unit of the B field (Magnetic field) is called Tesla $T$. The $B$ field is measured in nano-Tesla ( $1 \mathrm{nT}=1 \times 10^{-9} \mathrm{~T}$ ) on the NOAA website. In the App the units used are micro-Tesla and 1 micro-Tesla is equal to $1 \times 10^{-6} \mathrm{~T}$. If you are in the USA, on average on the App you expect to see around 50 microTesla for the $B$ total. 10. Using trigonometry, plus the values of $\mathrm{B}_{21}$ and $\underline{B}_{y}$ determine the inclination angle. The formula you want to use is the following: \[ \begin{aligned} \text { Inclination angle } & =\text { inverse tangent }\left(\frac{B z \text { component }}{B y \text { component }}\right) \Rightarrow \\ \vartheta & =\tan ^{-1}\left(\frac{B z \text { component }}{B y \text { component }}\right) . \quad= \end{aligned} \]

Solution

Solution Steps

Step 1: Understanding the Units

The magnetic field $ B $ is measured in different units depending on the context. In the NOAA website, it is measured in nano-Tesla (nT), where $ 1 \, \text{nT} = 1 \times 10^{-9} \, \text{T} $. In the app, it is measured in micro-Tesla ($\mu\text{T}$), where $ 1 \, \mu\text{T} = 1 \times 10^{-6} \, \text{T} $. On average, the app shows around 50 $\mu\text{T}$ for the total $ B $ field in the USA.

Step 2: Formula for Inclination Angle

The inclination angle $\vartheta$ is calculated using the inverse tangent function, based on the $ B_z $ and $ B_y $ components of the magnetic field. The formula is:

\[ \vartheta = \tan^{-1}\left(\frac{B_z \text{ component}}{B_y \text{ component}}\right) \]

Step 3: Calculate the Inclination Angle

To determine the inclination angle, you need the values of the $ B_z $ and $ B_y $ components. These values are not provided in the question, so you would typically substitute them into the formula to find $\vartheta$.