How do you calculate the force on the wire according to the provided documents?a.F=BIL where L is perpendicular to Bb.F=L/Bc.F=I 2 LBd.F=IL/BClear my choice
Question
How do you calculate the force on the wire according to the provided documents?
a. F = BIL where L is perpendicular to B
b. F = L/B
c. F = I²LB
d. F = IL/B
Clear my choice
Solution
To tackle the question regarding the calculation of the force on the wire using the formula provided, let's break it down step by step.
1. Break Down the Problem
You have an equation for the force experienced by a current-carrying wire in a magnetic field, given as . Here:
- represents the force on the wire,
- is the magnetic field strength,
- is the current through the wire,
- is the length of the wire that is within the magnetic field, and it is assumed to be perpendicular to the magnetic field.
2. Relevant Concepts
The relevant formula is: This formula indicates the relationship between the magnetic field, the current, and the force exerted on the wire.
3. Analysis and Detail
To calculate the force, you need the values of (in teslas), (in amperes), and (in meters). The calculation involves multiplying these three quantities together:
- Ensure that is the component of the wire that is perpendicular to the magnetic field.
- Make sure of the directions involved; , , and are vector quantities.
4. Verify and Summarize
After calculating the force using , check if the units make sense:
- The unit of force is newtons (N), magnetic field strength is teslas (T), current is amperes (A), and length is meters (m).
- The resulting unit from is , which simplifies to newtons, confirming that the formula is correct.
Final Answer
The correct calculation for the force on the wire, according to the given equation, is: where is perpendicular to the magnetic field .
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