In the figure, a rectangular loop carrying current lies in the plane of a unifor

Question

In the figure, a rectangular loop carrying current lies in the plane of a uniform magnetic field of magnitude 2 0.0208 T The loop consists of a single turn of flexible conducting wire that is wrapped around a flexible mount such that the dimensions of the rectangle can be changed. (The total length of the wire is not changed.) As edge length x is varied from approximately zero to its maximum value of approximately 5.78 cm, the magnitude T of the torque on the loop changes. The maximum value of T is 5.21 times 10^-8 N^*m. What is the current in the loop? Number Units

Explanation / Answer

the external magnetic field B=0.0208T

torque developed on the closed loop is maximum during the change in area if the maximum torque =5.21 x 10-8Nm

length of loop varies from 0 to 5.78cm it maximum torque develop at square shape where maxium area present i.e 5.78/2=2.89cm length then area A=2.89 x 2.89=8.35cm2 =8.35 x 10-4 m2

number of loops present in it n=1

torque =niAB

the current in the circuit i=torque/nAB

i=5.21 x 10-8/1 x 8.35 x 10-4 x 0.0208

=5.21 x 10-8/17.37x 10-6=0.29 x 10-2

i=2.99mA

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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