A conductor or length 2.5m with one end located at z = 0, x = 4 m carries a current of 12 A parallel to the negative y-axis. Find the magnetic field in the region if the force on the conductor is `1.2 xx 10^(-2)` N in the direction `(-hat(i) + hat(k))/(sqrt(2))`
Text Solution
AI Generated Solution
To solve the problem, we will follow these steps:
### Step 1: Understand the given information
We have a conductor of length \( L = 2.5 \, \text{m} \) carrying a current \( I = 12 \, \text{A} \) in the negative \( y \)-direction. The force \( \vec{F} \) acting on the conductor is given as \( 1.2 \times 10^{-2} \, \text{N} \) in the direction \( \frac{-\hat{i} + \hat{k}}{\sqrt{2}} \).
### Step 2: Define the vectors
The length vector \( \vec{L} \) of the conductor can be expressed as:
\[
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