The figure above shows, in cross section, two long parallel wires spaced by distance d; each carries a current i. The direction of the current in wire 1 is out of the screen. Point P is on a perpendicular bisector of the line connecting the wires. L NOTE: Express your answers in terms of the given variables, using µo when needed. (a) What is the magnitude of the net magnetic field at P if the current in wire 2 is out of the screen? B = (b) What is the magnitude of the net magnetic field at P if the current in wire 2 is into the screen? B =

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The figure above shows, in cross section, two long parallel wires spaced by distance \(d\); each carries a current \(i\). The direction of the current in wire 1 is out of the screen. Point \(P\) is on a perpendicular bisector of the line connecting the wires.

**NOTE:** Express your answers in terms of the given variables, using \(\mu_0\) when needed.

**(a)** What is the magnitude of the net magnetic field at \(P\) if the current in wire 2 is out of the screen?

\[ B = \]

**(b)** What is the magnitude of the net magnetic field at \(P\) if the current in wire 2 is into the screen?

\[ B = \]

---

**Diagram Explanation:**
- The diagram is a triangle with points labeled 1, 2, and \(P\).
- Points 1 and 2 are at the ends of a line segment labeled \(d\).
- Point \(P\) is at the top of the triangle, equidistant from points 1 and 2.
- The triangle is isosceles, indicating symmetry in the system.
- An \(xy\)-coordinate system is shown with the positive \(y\)-axis pointing upwards and the positive \(x\)-axis to the right.
- The dotted lines connecting the points represent the distance and arrangement of the wires and point \(P\).
Transcribed Image Text:The figure above shows, in cross section, two long parallel wires spaced by distance \(d\); each carries a current \(i\). The direction of the current in wire 1 is out of the screen. Point \(P\) is on a perpendicular bisector of the line connecting the wires. **NOTE:** Express your answers in terms of the given variables, using \(\mu_0\) when needed. **(a)** What is the magnitude of the net magnetic field at \(P\) if the current in wire 2 is out of the screen? \[ B = \] **(b)** What is the magnitude of the net magnetic field at \(P\) if the current in wire 2 is into the screen? \[ B = \] --- **Diagram Explanation:** - The diagram is a triangle with points labeled 1, 2, and \(P\). - Points 1 and 2 are at the ends of a line segment labeled \(d\). - Point \(P\) is at the top of the triangle, equidistant from points 1 and 2. - The triangle is isosceles, indicating symmetry in the system. - An \(xy\)-coordinate system is shown with the positive \(y\)-axis pointing upwards and the positive \(x\)-axis to the right. - The dotted lines connecting the points represent the distance and arrangement of the wires and point \(P\).
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