College Physics
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Author: Raymond A. Serway, Chris Vuille
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Three infinite straight wires are are parallel to each other and a distance of d =21.3cm apart. The currents are: 11 =14A, 12 =13A, 13 =27
A. The directions of the currents are indicated in the figure. Determine the magnitude of the net magnetic field at a point midway between wire #1 and wire #2 (in T).
Look at correct answer please show all work
Transcribed Image Text:**Problem Statement:**
Three infinite straight wires are parallel to each other and are spaced at a distance of \( d = 21.3 \text{ cm} \) apart. The currents flowing through the wires are: \( I_1 = 14 \text{ A}, \ I_2 = 13 \text{ A}, \ I_3 = 27 \text{ A} \). The directions of the currents are as indicated in the figure. Determine the magnitude of the net magnetic field at a point midpoint between wire #1 and wire #2 (in \(\mu \text{T} \)).
**Diagram Explanation:**
The diagram shows three wires labeled #1, #2, and #3. They are arranged in a line and parallel to each other, with equal spacing \( d \) between each wire. A point labeled \( p \) is located midway between wire #1 and wire #2. Current directions are indicated for each wire.
The coordinate system is given with unit vectors \(\hat{i}\), \(\hat{j}\), and \(\hat{k}\), showing the orientation of the currents and the directions for calculating the magnetic fields.
**Your Answer:**
You calculated the magnitude of the magnetic field to be 20.65 \(\mu \text{T}\).
**Correct Answer:**
The correct magnitude of the magnetic field at point \( p \) is 18.7793 \(\mu \text{T}\), with a margin of error of +/- 1%.
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