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Each pl the eight conductors in the figure carries. 5'25 Apt current intp or put at the page. Two paths. are indicated [or the line

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Each pl the eight conductors in the figure carries. 5'25 Apt current intp or put at the page. Two paths. are indicated [or the line _, integral is. H - 55?. What is the value at the integral ipr [a] path 1 and lb} path 2? | IR:- a'." . ~_ l 't I... " i '_ I . '- ta} Number n Units v {b} Mu mper a Units v In the figure below, a long circular pipe with outside radius R = 2.53 cm carries a (uniformly distributed) current i = 14.7 mA into the page. A wire runs parallel to the pipe at a distance of 3.00R from center to center. Find the (a) magnitude and (b) direction (into or out of the page) of the current in the wire such that the ratio of the magnitude of the net magnetic field at point P to the magnitude of the net magnetic field at the center of the pipe is 4.37, but it has the opposite direction. WireO R P. R X R EX X Pipe (a) Number i Units (b)It toroid having a square cross section. 4.34 cm on a side. and an inner radius ol ldJEII cm has 630 turns and carries a current oi 0.64? It l[It is made up ol a square solenoid instead of round one bent into a doughnut shape.) What is the magnitude oi the magnetic eld inside the toroid at {a} the inner radius and {b} the outer radius? [a] Number n Units v {b} Number a Units v It Hill-turn Solenoid having a length 01 29 cm and a diameter at 11 cm carries a current {it 0.44 I'L Calculate the magnitude oi the magnetic field inaide the solenoid. Number n Units v

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