10:00 12 In Fig. 29-43, two long straight wires at separation d = 16.0 cm carry currents i = 3.61 mA and i = 3.00i, out of the page. (a) Where on the x axis is the net magnetic field equal to zero? (b) If the two currents are doubled, is the zero-field point shifted toward wire d toward wire ? or unchanged?

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Certainly! Here is the transcription of the text as it might appear on an educational website:

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**12) For the directions of I₁ and I₂ as shown:**

a) What are the **directions** of B₁, B₂ at any point on the −x axis?

b) With these directions, is it possible to get B<sub>net</sub> = 0?

c) What are the **directions** of B₁, B₂ at a point on the x axis **between** I₁ and I₂?

d) With these directions, is it possible to get B<sub>net</sub> = 0?

e) What are the **directions** of B₁, B₂ on the x axis with x > d?

f) With these directions, is it possible to get B<sub>net</sub> = 0?

g) Let x = distance from I₁, d − x = distance from I₂, solve for x that will give B<sub>net</sub> = 0.

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*Note: The text discusses the directions of magnetic fields (B₁, B₂) resulting from currents (I₁, I₂) and under which conditions the net magnetic field (B<sub>net</sub>) can be zero.*
Transcribed Image Text:Certainly! Here is the transcription of the text as it might appear on an educational website: --- **12) For the directions of I₁ and I₂ as shown:** a) What are the **directions** of B₁, B₂ at any point on the −x axis? b) With these directions, is it possible to get B<sub>net</sub> = 0? c) What are the **directions** of B₁, B₂ at a point on the x axis **between** I₁ and I₂? d) With these directions, is it possible to get B<sub>net</sub> = 0? e) What are the **directions** of B₁, B₂ on the x axis with x > d? f) With these directions, is it possible to get B<sub>net</sub> = 0? g) Let x = distance from I₁, d − x = distance from I₂, solve for x that will give B<sub>net</sub> = 0. --- *Note: The text discusses the directions of magnetic fields (B₁, B₂) resulting from currents (I₁, I₂) and under which conditions the net magnetic field (B<sub>net</sub>) can be zero.*
**Problem 12: Magnetic Field Zero Point**

In Fig. 29-43, two long straight wires are separated by a distance \( d = 16.0 \, \text{cm} \) and carry currents \( i_1 = 3.61 \, \text{mA} \) and \( i_2 = 3.00i_1 \) out of the page.

(a) Where on the x-axis is the net magnetic field equal to zero?

(b) If the two currents are doubled, is the zero-field point shifted toward wire 1, shifted toward wire 2, or unchanged?

**Diagram Explanation:**

Figure 29-43 shows two wires placed on a coordinate system with wire 1 at the origin and wire 2 positioned further along the x-axis at a distance \( d \). Both wires have currents \( i_1 \) and \( i_2 \) flowing out of the page. The diagram aids in visualizing the location along the x-axis where the net magnetic field might be zero, depending on the relative strengths of the currents.
Transcribed Image Text:**Problem 12: Magnetic Field Zero Point** In Fig. 29-43, two long straight wires are separated by a distance \( d = 16.0 \, \text{cm} \) and carry currents \( i_1 = 3.61 \, \text{mA} \) and \( i_2 = 3.00i_1 \) out of the page. (a) Where on the x-axis is the net magnetic field equal to zero? (b) If the two currents are doubled, is the zero-field point shifted toward wire 1, shifted toward wire 2, or unchanged? **Diagram Explanation:** Figure 29-43 shows two wires placed on a coordinate system with wire 1 at the origin and wire 2 positioned further along the x-axis at a distance \( d \). Both wires have currents \( i_1 \) and \( i_2 \) flowing out of the page. The diagram aids in visualizing the location along the x-axis where the net magnetic field might be zero, depending on the relative strengths of the currents.
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