Edits to “Statement”, “Solution”, “Answer”
en/9.3.13.md
+10 −5
| @@ -1,13 +1,18 @@ | |||
| ### Statement | |||
| − | $9.3.13.$ | ||
| + | $9.3.13.$ A cylindrical ferromagnetic column with narrow cavities was placed in a long solenoid with a current of | ||
| + | $0.5 A$. The number of turns per $1 cm$ of the length of the solenoid is $10$, the magnetic permeability of the | ||
| + | ferromagnet is $600$. Determine the magnetic field induction in the longitudinal and transverse cavities | ||
| + | (at points $A$ and $B$). | ||
| ### Solution | |||
| − | Внутри продольного разреза поле соответствует полю соленоида, внутри поперечного усиливается в соответствии с магнитной проницаемостью: | ||
| − | $$B_{||}=\mu_0 I n \approx 6,28 \cdot 10^{-4} Тл$$ | ||
| − | $$B_{\perp}=\mu \mu_0 I n \approx 0,377 Тл$$ | ||
| + | Inside the longitudinal section, the field corresponds to the field of the solenoid, inside the transverse section it is amplified in accordance with the magnetic permeability: | ||
| + | $$B_{||}=\mu_0 I n \approx 6,28 \cdot 10^{-4} Т$$ | ||
| + | $$B_{\perp}=\mu \mu_0 I n \approx 0,377 Т$$ | ||
| + | |||
| #### Answer | |||
| − | [Insert a concise answer or boxed result] | ||
| + | $$B_{||}=\mu_0 I n \approx 6,28 \cdot 10^{-4} Т$$ | ||
| + | $$B_{\perp}=\mu \mu_0 I n \approx 0,377 Т$$ | ||
| @@ -1,13 +1,18 @@ | |||
| ### Statement | ### Statement | ||
| $9.3.13.$ |
$9.3.13.$ A cylindrical ferromagnetic column with narrow cavities was placed in a long solenoid with a current of | ||
| $0.5 A$. The number of turns per $1 cm$ of the length of the solenoid is $10$, the magnetic permeability of the | |||
| ferromagnet is $600$. Determine the magnetic field induction in the longitudinal and transverse cavities | |||
| (at points $A$ and $B$). | |||
| ### Solution | ### Solution | ||
| Внутри продольного разреза поле соответствует полю соленоида, внутри поперечного усиливается в соответствии с магнитной проницаемостью: | |||
| $$B_{||}=\mu_0 I n \approx 6,28 \cdot 10^{-4} Тл$$ | |||
| $$B_{\perp}=\mu \mu_0 I n \approx 0,377 Тл$$ | |||
| Inside the longitudinal section, the field corresponds to the field of the solenoid, inside the transverse section it is amplified in accordance with the magnetic permeability: | |||
| $$B_{||}=\mu_0 I n \approx 6,28 \cdot 10^{-4} Т$$ | |||
| $$B_{\perp}=\mu \mu_0 I n \approx 0,377 Т$$ | |||
| #### Answer | #### Answer | ||
| [Insert a concise answer or boxed result] | $$B_{||}=\mu_0 I n \approx 6,28 \cdot 10^{-4} Т$$ | ||
| $$B_{\perp}=\mu \mu_0 I n \approx 0,377 Т$$ | |||