Brendan Middleton (Student section: 001) 2017 Fall, PHYS 202 (Petti) L Messages

Question

Brendan Middleton (Student section: 001) 2017 Fall, PHYS 202 (Petti) L Messages Courses Help Logout Main Menu Course Contents Notes Course Contents » » Hws » what is the force per unit length (magnitude and à Evaluate·Communicate-Print einfo Bookmark (8c29p36) Suppose in the figure that the four identical currents I-24 A, into or out of the page as shown, form a square of side 124 cm. What is the force per unit ength (magnitude and direction) on the wire in the bottom left hand comer? (N/m) Take the positive y direction as up and the positive x direction as to the right What is the magnitude of the force per unit length? Submit Answer Tries 0/10 what is the x component of the force per unit length? Submit Answer Tries 0/10 What is the y component of the force per unit length? Submit Answer Tries 0/10 This discussion is closed Send Feedback

Explanation / Answer

We know the same direction current carrying wire attract and opposite repel.

So Force per unit length = - u0i^2/2pia i + u0i^2/2pia j + u0i^2/(2pia sqrt2) cos 45 degree (-i-j)

= (-2e-7*24^2/1.24 -2e-7*24^2/1.24*0.5) i + (2e-7*24^2/1.24 -2e-7*24^2/1.24*0.5)j

= -0.00013935 i + 0.00004645 j N

Force per unit length = sqrt(0.00004645^2+0.00013935^2) = 0.0001469 N/m

x component of force per unit length = -0.00013935 N/m

  y component of force per unit length = 0.00004645 N/m

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