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8.E: Sources of Magnetic Fields (Exercise)
https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/08%3A_Sources_of_Magnetic_Fields/8.E%3A_Sources_of_Magnetic_Fields_(Exercise)
Then use the fact that the appropriate azimuthal unit vectors can be expressed as $\displaystyle \hat{θ_1}=\hat{k}×\hat{r_1}$ and $\displaystyle \hat{θ_2}=\hat{k}×\hat{r_2}$ to show that everywher...Then use the fact that the appropriate azimuthal unit vectors can be expressed as $\displaystyle \hat{θ_1}=\hat{k}×\hat{r_1}$ and $\displaystyle \hat{θ_2}=\hat{k}×\hat{r_2}$ to show that everywhere inside the cavity the magnetic field is given by the constant $\displaystyle \vec{B}=\frac{1}{2}μ_0J_0k×a$ , where $\displaystyle a=r_1−r_2$ and $\displaystyle r_1=r_1\hat{r_1}$ is the position of P relative to the center of the conductor and $\displaystyle 2_=r_2\vec{r_2}$ is the position…
18.16: Sources of Magnetic Fields (Exercise)
https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/18%3A_Calculation_of_Magnetic_Quantities_from_Currents/18.16%3A_Sources_of_Magnetic_Fields_(Exercise)
Then use the fact that the appropriate azimuthal unit vectors can be expressed as $\displaystyle \hat{θ_1}=\hat{k}×\hat{r_1}$ and $\displaystyle \hat{θ_2}=\hat{k}×\hat{r_2}$ to show that everywher...Then use the fact that the appropriate azimuthal unit vectors can be expressed as $\displaystyle \hat{θ_1}=\hat{k}×\hat{r_1}$ and $\displaystyle \hat{θ_2}=\hat{k}×\hat{r_2}$ to show that everywhere inside the cavity the magnetic field is given by the constant $\displaystyle \vec{B}=\frac{1}{2}μ_0J_0k×a$ , where $\displaystyle a=r_1−r_2$ and $\displaystyle r_1=r_1\hat{r_1}$ is the position of P relative to the center of the conductor and $\displaystyle 2_=r_2\vec{r_2}$ is the position…
8.12: Sources of Magnetic Fields (Exercise)
https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/08%3A_The_Magnetic_Field/8.12%3A_Sources_of_Magnetic_Fields_(Exercise)
Then use the fact that the appropriate azimuthal unit vectors can be expressed as $\displaystyle \hat{θ_1}=\hat{k}×\hat{r_1}$ and $\displaystyle \hat{θ_2}=\hat{k}×\hat{r_2}$ to show that everywher...Then use the fact that the appropriate azimuthal unit vectors can be expressed as $\displaystyle \hat{θ_1}=\hat{k}×\hat{r_1}$ and $\displaystyle \hat{θ_2}=\hat{k}×\hat{r_2}$ to show that everywhere inside the cavity the magnetic field is given by the constant $\displaystyle \vec{B}=\frac{1}{2}μ_0J_0k×a$ , where $\displaystyle a=r_1−r_2$ and $\displaystyle r_1=r_1\hat{r_1}$ is the position of P relative to the center of the conductor and $\displaystyle 2_=r_2\vec{r_2}$ is the position…

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