Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
The force \( F \) on a current-carrying wire in a magnetic field is given by the equation:
\[ F = I \cdot L \cdot B \cdot \sin(\theta) \]
where:
- \( I \) is the current in the wire (in amperes, A)
- \( L \) is the length of the wire (in meters, m)
- \( B \) is the magnetic field strength (in teslas, T)
- \( \theta \) is the angle between the current and the magnetic field
In this problem:
- \( I = 4.0 \, \text{A} \)
- \( L = 3.0 \, \text{mm} = 0.003 \, \text{m} \) (since 1 mm = 0.001 m)
- \( B = 0.020 \, \text{T} \)
- \( \theta = 90^\circ \) (since the current is perpendicular to the field, \( \sin(90^\circ) = 1 \))
Substituting these values into the formula:
\[ F = 4.0 \, \text{A} \times 0.003 \, \text{m} \times 0.020 \, \text{T} \times 1 \]
\[ F = 0.00024 \, \text{N} \]
Therefore, the force on the wire is \( 0.00024 \, \text{N} \).
\[ F = I \cdot L \cdot B \cdot \sin(\theta) \]
where:
- \( I \) is the current in the wire (in amperes, A)
- \( L \) is the length of the wire (in meters, m)
- \( B \) is the magnetic field strength (in teslas, T)
- \( \theta \) is the angle between the current and the magnetic field
In this problem:
- \( I = 4.0 \, \text{A} \)
- \( L = 3.0 \, \text{mm} = 0.003 \, \text{m} \) (since 1 mm = 0.001 m)
- \( B = 0.020 \, \text{T} \)
- \( \theta = 90^\circ \) (since the current is perpendicular to the field, \( \sin(90^\circ) = 1 \))
Substituting these values into the formula:
\[ F = 4.0 \, \text{A} \times 0.003 \, \text{m} \times 0.020 \, \text{T} \times 1 \]
\[ F = 0.00024 \, \text{N} \]
Therefore, the force on the wire is \( 0.00024 \, \text{N} \).
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
