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#26 assume R1 = 1.0cm and R2 = 2.0 cm. Assume the current to be 1.0A. lenglll L

ID: 2038755 • Letter: #

Question


#26

assume R1 = 1.0cm and R2 = 2.0 cm. Assume the current to be 1.0A.

lenglll L loop with sides of If a steady current I flows in the loop, determine the magnitude of the magnetic.p field at point P in the center of the square. and 24. Al equilateral triangle with sides L 3.00 cm carries a current of 8.00 A (Fig. P30.25). What is the magnitude of the magnetic FIGURE P30.24 field at the center O of the loop? me eld ?? ar 26. A Derive an expression for the magnetic field produced at point P due to the current-carrying wire shown in Figure P30.26. The curved parts of the wire are pieces of concentric circles. Point P is at their center. N Two circular coils of radii 10.0 cm and 40.0 cm are connected in series to a battery. Find the ratio of the magnitudes of the mag- netic fields at their centers. 18. he at ite 27. FIGURE P30.25 28. N Figure P30.28 shows three long, straight, parallel current- carrying wires with 1 12 1 5.00 A into the page (the negative k direction) at the posi- tions shown in the xy plane, with d 10.0 cm. What are the mag- nitude and direction of the mag- netic field at a. point A, b. point B, and c. point C? FIGURE P30.26

Explanation / Answer

26) magnetic field due to circuar arc,

B = (theta/(2*pi))*(mue*I/(2*R))

= theta*mue*I/(4*pi*R)


at point P,
Bnet = B1 - B2

= theta*mue*I/(4*pi*R1) - theta*mue*I/(4*pi*R2)


= theta*mue*I/(4*pi)*(1/R1 - 1/R2)