please show all work. A rectangular conducting loop of length a and width b is l

Question

please show all work.

A rectangular conducting loop of length a and width b is located near a single conductor long transmission line that is carrying a current I = 3000 cos(377t). A The transmission line and the conducting loop are all located in one plane with the transmission line parallel to the major axis of the loop. If the distance from the transmission line to the loop center is 15m. determine; The RMS emf induced in the loop if a = 50m. b = 0.5m The current that will pass in the loop if the loop resistance is 1 ohm (ignore the loop self inductance) The mutual inductance between the transmission line and the rectangular conducting loop

Explanation / Answer

B due to the wire at a distance x from it =(0/2)*i/x

consider an area element of length 50m and width dx in the loop parallel to the wire that is divide the loop into rectangular strips of  50m and width dx its area will be 50dx

flux through the strip =[(0/2)*i/x]* 50dx

total flux=integral [(0/2)*i/x]* 50dx limits (15,15.5)

=25*(0/)*i*ln(15.5/15)

=24*4*10-7*0.0327*i

=3.14*10-7*i

EMF=-d/dt

=-3.14*10-7*di/dt

=3.14*10-7*30002*sin(377t)

RMS VALUE OF EMF=3.14*10-7*3000=9.42*10-3V

current=EMF/R

=9.42*2*10-3*sin(377t)

MUTUAL INDUCTANCE=/i

=3.14*10-7

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.