Problem Seven. Two infinitely long wires are arranged side by side. The current I, is pointing out of the page. The current 1₂ is pointing into the page. The distance between the wires is d. Let the magnitude of the currents be equal. (I₁ = 12) Find the direction of the total magnetic field at the following coordinates. Give the answer as a positive or negative unit vector i, j, or k. 23. At (2d, 0) (A) rightward 24. At (½ d, ½2 d) (A) rightward (B) up (B) up (C) out (B) (C) out змол πα I₁ M₂1 4nd d (D) leftward (D) leftward Consider the magnetic field due to both I, and I₂ at a field point that is a distance 2d above I₁. Remember to let the magnitude of I₂ be twice the magnitude of I₁ for all the questions below. (I₁ = I and I₂ =21) 28. Find the magnitude of the magnetic field at the coordinate (0, 2d ). Give a simplified expression in terms of I and d. HoI (A) 20 πd (D) 1₂ (E) down 10μI nd (E) down (E) змол 20 πd

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**Problem Seven**: Two infinitely long wires are arranged side by side. The current \( I_1 \) is pointing out of the page. The current \( I_2 \) is pointing into the page. The distance between the wires is \( d \).

*Let the magnitude of the currents be equal. (\( I_1 = I_2 \))*

Find the direction of the total magnetic field at the following coordinates. Give the answer as a positive or negative unit vector \( \hat{i} \), \( \hat{j} \), or \( \hat{k} \).

**23. At (2d, 0)**
- (A) rightward
- (B) up
- (C) out
- (D) leftward
- **(E) down**

**24. At (\( \frac{1}{2}d, \frac{1}{2}d \))**
- (A) rightward
- **(B) up**
- (C) out
- (D) leftward
- (E) down

---

**Consider the magnetic field due to both \( I_1 \) and \( I_2 \) at a field point that is a distance 2d above \( I_1 \).
Remember to let the magnitude of \( I_2 \) be twice the magnitude of \( I_1 \) for all the questions below. (\( I_1 = I \) and \( I_2 = 2I \))

**28. Find the magnitude of the magnetic field at the coordinate (0, 2d). Give a simplified expression in terms of I and d.**
- (A) \( \frac{\mu_0 I}{2\pi d} \)
- (B) \( \frac{3\mu_0 I}{\pi d} \)
- **(C) \( \frac{\mu_0 I}{4\pi d} \)**
- (D) \( \frac{10\mu_0 I}{\pi d} \)
- (E) \( \frac{3\mu_0 I}{20\pi d} \)

**30. What would be the direction of the force that would act on the proton?**
- (A) Up
- (B) Down
- (C) Left
- (D) In
- **(E
Transcribed Image Text:**Problem Seven**: Two infinitely long wires are arranged side by side. The current \( I_1 \) is pointing out of the page. The current \( I_2 \) is pointing into the page. The distance between the wires is \( d \). *Let the magnitude of the currents be equal. (\( I_1 = I_2 \))* Find the direction of the total magnetic field at the following coordinates. Give the answer as a positive or negative unit vector \( \hat{i} \), \( \hat{j} \), or \( \hat{k} \). **23. At (2d, 0)** - (A) rightward - (B) up - (C) out - (D) leftward - **(E) down** **24. At (\( \frac{1}{2}d, \frac{1}{2}d \))** - (A) rightward - **(B) up** - (C) out - (D) leftward - (E) down --- **Consider the magnetic field due to both \( I_1 \) and \( I_2 \) at a field point that is a distance 2d above \( I_1 \). Remember to let the magnitude of \( I_2 \) be twice the magnitude of \( I_1 \) for all the questions below. (\( I_1 = I \) and \( I_2 = 2I \)) **28. Find the magnitude of the magnetic field at the coordinate (0, 2d). Give a simplified expression in terms of I and d.** - (A) \( \frac{\mu_0 I}{2\pi d} \) - (B) \( \frac{3\mu_0 I}{\pi d} \) - **(C) \( \frac{\mu_0 I}{4\pi d} \)** - (D) \( \frac{10\mu_0 I}{\pi d} \) - (E) \( \frac{3\mu_0 I}{20\pi d} \) **30. What would be the direction of the force that would act on the proton?** - (A) Up - (B) Down - (C) Left - (D) In - **(E
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