Preview File Edit View Go Tools Window Help 47% D Wed Aug 5 3:29 PM a E old fin2

Question

Preview File Edit View Go Tools Window Help 47% D Wed Aug 5 3:29 PM a E old fin2b.gif Edited a Search 3. Tkwolong parallel wires carry squal cuTants, I, in opposite directions as shown. Midway between the wires in the same plane is a current loop of radius R carrying a current I as shown. R. m I- 50A. 4R. A (5 pts) Find the magnitude of the magnetic fiel at the center of the loop due to all parts of the system. Ans 0,71 mT B. pts Fin the magnetic potential energy of the loopin the fleid of the twoparallel wires. An 47

Explanation / Answer

A) magnetic filed due to two wires is B1 = 2*mu_o*i/(2*pi*r) = 2*4*3.142*10^-7*50/(2*3.142*2*0.03) = 3.3*10^-4 T

magnetic filed due to loop is B 2=mu_0*i/(2*R)= (4*3.142*10^-7*50)/(2*0.03) = 1.04*10^-3 T

then B = (1.04-0.33)*10^-3 = 0.71 mT

B) magnetic potential energy is U = i*A*B1 = 50*3.142*0.03^2*3.3*10^-4 = 47 uJ

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