Four thin infinite wires carrying currents I go perpendicularly to the paper she
ID: 1353501 • Letter: F
Question
Four thin infinite wires carrying currents I go perpendicularly to the paper sheet that they intersect at the points forming a SQUARE of side L. All currents go inside the sheet. Calculate the absolute value of the magnetic field created by the currents in the middle of a side of the triangle.
It's a square, Not a triangle.
Four thin infinite wires carrying currents I go perpendicularly to the paper sheet that they intersect at the points forming a SQUARE of side L. All currents go inside the sheet. Calculate the absolute value of the magnetic field created by the currents in the middle of a side of the triangle.
It's a square, Not a triangle.
Four thin infinite wires carrying currents I go perpendicularly to the paper sheet that they intersect at the points forming a SQUARE of side L. All currents go inside the sheet. Calculate the absolute value of the magnetic field created by the currents in the middle of a side of the triangle.
It's a square, Not a triangle.
Explanation / Answer
magnetic fileds due to the ends of this side cancels out
the distance form the other sides to this mid point is Sqrt(L^2+(L/2)^2)
B1 = B2 = mu_0*I/(2*pi*sqrt(L^2+(L/2)^2))
But net magnetic filed is B = sqrt(B1^2+B2^2) = sqrt(2)*B1
B = sqrt(2)*mu_0*I/[2*pi*sqrt(L^2+(L/2)^2)]
B = 0.201*mu_o*I/L
Related Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.