Question

Problem 5 Score /20 14=1A 1m 12 =2A Four long wires are perpendicular to the page as shown in Figure. They are located at the corners of a square of length 1m. .P 1m 1m i) Determine the magnetic field at center of the square, point P. 11 =2A O Ø12=1A 1m ii) Determine force per unit length between currents , l1 and 13.

Please include the angle the magnetic field makes in i)

Answer 1

By # 1 = Iz = 2A & Iq= ly = 1 A In 4 m * Is Magnetic field due to zar I , Iz a very long lo current carrying wire = Magnetic field at center point 'o: B = 2 + 8 + 8 + 8 - [10,+8,) -(6,+8)] cos ys{ +[8, +8+ + be , Jsinys į 24 Ia Mo ✓z Mo B, - Bz = & Bq = By 2TX/uz B 343 2 - 27 So 2 Mo 2 a cos 45o în 3/2 do sinus + 12 9 ) x 107 T (-2 2 =) B -

Magnitude = 107 = 107 / ² + 12 = /28370107 7 Direction : O= tant ( 22 ) = {qq. 46 from ☺ Force per mit length lo X Y between I, & Iz x-anis: lo I, I 2012) = -7 = 4/2 X10 N/m 27X Vz

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