Two solenoids of radii R1 and R2 are concentric. Both carry the same current i1

Question

Two solenoids of radii R1 and R2 are concentric. Both carry the same current i1 = i2 in the same number of windings per unit length, but i1 is clockwise when viewed from left and i2 is counterclockwise, resulting in the cross section shown below. Which of the labeled regions have zero magnetic field? (Hint - consider loops 1 and 2).        a) A only b) B only c) C only d) A and B   e) A and C

Picture details - Top picture says Loop 1 and Loop 2. R1 is the shorter arrow pointing downward and R2 is the longer arrow pointing downward.

Bottom picture has i2 going counterclockwise and i1 going clockwise. R1 is the shorter radius and R2 is the outer radius

Explanation / Answer

Answer:   (e)   A   and C The magnetic field inside the solenoid    is   same at any   where   B = 0nI out side the solenoid is zero The magnitude of magntic field due to bothe solenoids are   same because n   and I   are same In region A    the magntic field    due to the both the solenoids   is same but in opposite directions    hence resulatant field is zero   In rection C   the magnetic field out   side the solenoid (both) is zero But in region B    there is a net magnetic field due to outer   solenoid but not   due to inner solenoid

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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