Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.
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 \( 0.00024 \, \text{N} \).
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
