5. 9. Find the size and direction of the force per meter exerted on the bottom wire by the top 4. I-5A, in all wires. The distance between each wire is lcm. Also find the strength of the magnetic seld at the location of the middie wire. FIND THE 4dLo, r, 1 AT LOCATI0N Of 2 WIRG PROA TOp pue TOTHE F/A= N/m UTHER 4- T. l ת LdL ,o B=

College Physics
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 5:**

- **Objective:** Find the size and direction of the force per meter exerted on the bottom wire by the top 4 wires. Current \( I = 5 \, \text{A} \) in all wires. The distance between each wire is \( 1 \, \text{cm} \).

- **Task:** Also find the strength of the magnetic field at the location of the middle wire.

- **Additional Requirement:** Find the magnetic field (\( \mathbf{B} \)) at the location of the 2nd wire from the top due to the other 4 wires.

**Formulae:**

- Force per unit length (\( F/l \)) between two parallel currents:

  \[
  F/l = \frac{{\mu_0 \times I_1 \times I_2}}{{2\pi \times d}}
  \]

- Magnetic field (\( B \)) due to a long straight current-carrying wire:

  \[
  B = \frac{{\mu_0 \times I}}{{2\pi \times r}}
  \]

**Diagram:**

- **Description:** The diagram consists of five parallel horizontal lines, each representing a wire. All arrows point to the right, indicating the direction of the current. The wires are equally spaced.

**Solution Space:**

- **Force per Meter (\( F/l \)) Calculation:**

  \[
  F/l = \underline{\phantom{F/l =}} \, \text{N/m} \hspace{0.5cm} (up, down, left, or right)
  \]

- **Magnetic Field (\( B \)) Calculation at the 2nd Wire:**

  \[
  B = \underline{\phantom{B =}} \, \text{T} \hspace{0.5cm} (up, down, left, or right)
  \]

- **Magnetic Field (\( B \)) at the Middle Wire:**

  \[
  B = \underline{\phantom{B =}} \, \text{T} \hspace{0.5cm} (up, down, left, or right)
  \]
Transcribed Image Text:**Problem 5:** - **Objective:** Find the size and direction of the force per meter exerted on the bottom wire by the top 4 wires. Current \( I = 5 \, \text{A} \) in all wires. The distance between each wire is \( 1 \, \text{cm} \). - **Task:** Also find the strength of the magnetic field at the location of the middle wire. - **Additional Requirement:** Find the magnetic field (\( \mathbf{B} \)) at the location of the 2nd wire from the top due to the other 4 wires. **Formulae:** - Force per unit length (\( F/l \)) between two parallel currents: \[ F/l = \frac{{\mu_0 \times I_1 \times I_2}}{{2\pi \times d}} \] - Magnetic field (\( B \)) due to a long straight current-carrying wire: \[ B = \frac{{\mu_0 \times I}}{{2\pi \times r}} \] **Diagram:** - **Description:** The diagram consists of five parallel horizontal lines, each representing a wire. All arrows point to the right, indicating the direction of the current. The wires are equally spaced. **Solution Space:** - **Force per Meter (\( F/l \)) Calculation:** \[ F/l = \underline{\phantom{F/l =}} \, \text{N/m} \hspace{0.5cm} (up, down, left, or right) \] - **Magnetic Field (\( B \)) Calculation at the 2nd Wire:** \[ B = \underline{\phantom{B =}} \, \text{T} \hspace{0.5cm} (up, down, left, or right) \] - **Magnetic Field (\( B \)) at the Middle Wire:** \[ B = \underline{\phantom{B =}} \, \text{T} \hspace{0.5cm} (up, down, left, or right) \]
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