Ampere\'s Law Please explain why the students are wrong. I know that the integra

Question

Ampere's Law
Please explain why the students are wrong. I know that the integral should be the same for all loops since enclosed current is the same but I'm unsure about how to explain the faults with each statement.
Thank you in advance. 3. The line integral is the same for all three loops shown below. Loops 1 and 2 have the same perimeter. Consider the following discussion about the incorrect predictions made by three students: Loop 1 Loop 2 Loop 3 "It seems like the integral around Loop 2 should be greater. They're the same length, but in Loop 2 the magnetic field always points along the path, and in Loop 1 only a component of the magnetic field points along the path Student 1: Student 2: "I thought that Loop 3 should be the lar Student 3: "I predicted the opposite. The path is shorter around Loop 3, so the integral around Explain why each student's prediction is incorrect. gest integral, since the loop is closest to the wire so the magnetic field is strongest." Loop 3 should be less than that around Loop 2.

Explanation / Answer

here,

The line integral of the magnetic field around some closed loop is equal to the u0 times the algebraic sum of the currents which pass through the loop.

so, the line integral of magnetic feild is same for the three loops

therefore the all three loops has same integral around the loop1 , loop2 and loop3

so that's why all the students are wrong

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.