find direction force A current carrying conductor immersed in a magnetic field B

Question

find direction force

A current carrying conductor immersed in a magnetic field B is subjected to forces all along its length. The force df on an incremental length dl of the conductor is given by df = idl times B. Here df, dl and B are vector quantities, and x is the symbol for vector product, dl is the displacement vector of length equal to the incremental length dl being considered, and whose direction is the same as the local tangent to the conductor with the same sense as the current flow. If B = 0.5 T, i = 1 A, dl = 0.001 m and theta = 30degree, what is the magnitude and direction of the force df that acts on the incremental length dl of the wire?

Explanation / Answer

dF = i dlxB
since, cross product is there and both the vectors are in plane of the page applying right hand rule when we go from vector dl to b we get direction of dF to be Normal to the page and pointing out of it/away from it

dF = i dl B sin = 1(.001)(.5)(sin30)

= 2.5 x 10-4 N

so correct ans is option 4

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

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