Question

Two identical circular thin-wire loops carry the same current I=10.4 A and are positioned "parallel" to each other as illustrated in the figure below. The planes of the loops are perpendicular to the line connecting their centers O₁ and O₂. The radius of the loops a=1.18 cm and the distance between the loop planes b=0.944 cm.

What is the magnitude B₁ of the magnetic field at point O₁?:

B₁= _____ G.

What is the magnitude B₂ of the magnetic field at point O₂?:
B₂= ______ G.

What is the magnitude B_C of the magnetic field at point C in the middle between points O₁ and O₂?:
B_C= _____ G.

Two identical circular thin-wire loops carry the same current I=10.4 A and are positioned "parallel" to each other as illustrated in the figure below. The planes of the loops are perpendicular to the line connecting their centers 01 and O2. The radius of the loops a=1.18 cm and the distance between the loop planes b=0.944 cm. 0:0 What is the magnitude B1 of the magnetic field at point 01?: B1= G. What is the magnitude B2 of the magnetic field at point Oz?: B2= G. What is the magnitude Bc of the magnetic field at point C in the middle between points 01 and Oz?:

Answer 1

0:44 Given I = 10.4 Amp a= 1.18 cm b = 0.94 4 cm given by We know that magnetic field at the axis of loop of rad dius R is B HAIR? x distance from 2 (R²+x2) 3/2 the center to point & magnetic field at center of the loop is Given by Mol on the axis Q R a) magnetic field at point os for 1 loop of is center for another loop Of is puent and point on an is Mo I BLE M. I a? (@?+52) 3/2 qa Bi 4 axlo xlo.4 2x 1.18810? 4xxo? x 1o.ux (18) ²x 154 * [(1-18)+ (0-9+4)*]xi.-4

9.078 810-4 Bi- 4x3,14 x 10,4 x 10-5 + 2x l.18 4X3.14 Xia's X 10.4 X1.39 & [1.39 +0.89]3/2 B, 5.53x104 + (2.28) 3/2 Bia -4 5.53 Xló +2.64 xló 니 B -4 8,17 x 10 T - B = 8.17 kauss b ) magnetic field at O2 is given by M-I Hola? + ga which is same as BL B 8.17 G auss 2 o mag netic field at point c is given by Hora? Be= + Ага 24 ala b. ? 2 + -7 Be= 4x3.14 X 10.4 x (1.18) ² x 6 -4 X10 [(1.1879 + 40.944) J 10-6

89.5 X los 181.88 X Bc xlos [1.39 +0.22722 181-88 X1,35 Br = 2.042 Bc Bc 8.gs eauss