Two parallel long wires are d apart and carry currents I, and Iz (I, < I2) in the same direction. Determine the magnetic direction at middle point P; a. into the plane b. out of the plane c. up d. down I1 • p d Calculate the magnetic field at middle point P and indicate the direction. а. 0 b. Ho(I1-I2)/(ad) c. Ho(I;+Iz)/(2nd) d. Ho(lj-I2)/(2nd) Find the force on I, from the I, (see the figure) in a unit length. a. Holil/(nd), up b. Holil/(nd), down c. Holil/(2nd), up d. Holil/(2nd), down

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**Educational Content: Magnetic Field and Force Between Parallel Current-Carrying Wires**

Two parallel long wires are spaced a distance \( d \) apart and carry currents \( I_1 \) and \( I_2 \) (\( I_1 < I_2 \)) in the same direction.

1. **Determine the magnetic direction at middle point \( P \):**
   - a. into the plane
   - b. out of the plane
   - c. up
   - d. down

2. **Calculate the magnetic field at middle point \( P \) and indicate the direction.**
   - a. 0
   - b. \(\mu_0(I_1-I_2)/(\pi d)\)
   - c. \(\mu_0(I_1+I_2)/(2\pi d)\)
   - d. \(\mu_0(I_1-I_2)/(2\pi d)\)

3. **Find the force on \( I_2 \) from the \( I_1 \) (see the figure) in a unit length.**
   - a. \(\mu_0 I_1 I_2/(\pi d)\), up
   - b. \(\mu_0 I_1 I_2/(\pi d)\), down
   - c. \(\mu_0 I_1 I_2/(2\pi d)\), up
   - d. \(\mu_0 I_1 I_2/(2\pi d)\), down

**Diagram Explanation:**

The diagram illustrates two parallel horizontal wires. The wire on the top is labeled \( I_1 \) and the one on the bottom is labeled \( I_2 \). Both currents \( I_1 \) and \( I_2 \) are shown flowing to the right. The distance between the wires is labeled \( d \), and point \( P \) is located midway between the wires. 

This setup is used to demonstrate the principles of magnetic fields and forces between parallel current-carrying wires.
Transcribed Image Text:**Educational Content: Magnetic Field and Force Between Parallel Current-Carrying Wires** Two parallel long wires are spaced a distance \( d \) apart and carry currents \( I_1 \) and \( I_2 \) (\( I_1 < I_2 \)) in the same direction. 1. **Determine the magnetic direction at middle point \( P \):** - a. into the plane - b. out of the plane - c. up - d. down 2. **Calculate the magnetic field at middle point \( P \) and indicate the direction.** - a. 0 - b. \(\mu_0(I_1-I_2)/(\pi d)\) - c. \(\mu_0(I_1+I_2)/(2\pi d)\) - d. \(\mu_0(I_1-I_2)/(2\pi d)\) 3. **Find the force on \( I_2 \) from the \( I_1 \) (see the figure) in a unit length.** - a. \(\mu_0 I_1 I_2/(\pi d)\), up - b. \(\mu_0 I_1 I_2/(\pi d)\), down - c. \(\mu_0 I_1 I_2/(2\pi d)\), up - d. \(\mu_0 I_1 I_2/(2\pi d)\), down **Diagram Explanation:** The diagram illustrates two parallel horizontal wires. The wire on the top is labeled \( I_1 \) and the one on the bottom is labeled \( I_2 \). Both currents \( I_1 \) and \( I_2 \) are shown flowing to the right. The distance between the wires is labeled \( d \), and point \( P \) is located midway between the wires. This setup is used to demonstrate the principles of magnetic fields and forces between parallel current-carrying wires.
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