Question

Answer 1

Lety I, = current through loop !. I= current current through loop 2. Now asing Is I, gR= R = 0.32 m and r= L = 0-im in relation get the value of magnitude ofy Magnetic field y-component of loop! at origin o as, we By 2 bot By = By, By, - I= Iz 3 and 2 Mo I R relation ② 2 (R² + 2², 3/2 Similarly for loop 2g using R=R=0-32m 8=y in relation , we get the value of noagane era magnitude of y-comopent of magnetic field By: Byz of loop origin as, By z = Mo Iz R² relation ③ 2 (R² + y2j3/2 2 at O Based on the given graph note that, (ООР at when 2 is y = 15cm net magnetic field at origina re (B) becomes zero. a By (MT) and -40 s This implies magnetic field By, Byz des pectively due to loops I and 2 are directed opposite to each other at origin o' 15 → y com)

so the final answers are,

II = 0 23 4 3 A we get, 3/2 2 Iz = 0.32²+ 0.152 @ 2343 0.32²+ 0-12 I= 2-745 A

Current through loop 1 $=i_{1}=I_{1}=2.343\:A$

Current through loop 2 $=i_{2}=I_{2}=2.745\:A$