If a magnetic flux passes through a circular coil whenits diameter is D, what sh

Question

If a magnetic flux passes through a circular coil whenits diameter is D, what should be its diameter (in terms of D) sothat only half as much flux passes through it in the same field?Assume that the magnetic field is uniform over the area in bothcases. I thought was 1/4 D but it wasn't Thanks for any and all help!! If a magnetic flux passes through a circular coil whenits diameter is D, what should be its diameter (in terms of D) sothat only half as much flux passes through it in the same field?Assume that the magnetic field is uniform over the area in bothcases. I thought was 1/4 D but it wasn't Thanks for any and all help!!

Explanation / Answer

. 01.   Area =()*(r2)      ;   areaof a circle with radius r 02.   r = (diameter)/2 03.   Area = ()*(d/2)2 =(/4)*(d2) 04.   By inspection of '03' we can see that thediameter is the only variable impacting the area. Therefore,if the area is to be halved, the value of the diameter must bereduced by a factor of: (1)/(2).       05.   D/(2) . 06.   Let's look at a numerical example. 07.   Assume the original diameter is 2meters 08.      Area = ()*[(2meters)/2)]2 = square_meters 09. Assume the new diameter is [(2)/(2)]meters 10.      Area = ()*{[((2)/(2)) meters]/(2) }2 = ()*{[(1)/(2)] meters }2 = /2square_meters .

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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