A piece of insulated wire is shaped into a figure eight as shown in the figure b

Question

A piece of insulated wire is shaped into a figure eight as shown in the figure below. For simplicity, model the two halves of the figure eight as circles. The radius of the upper circle is 3.00 cm and that of the lower circle is 7.00 cm. The wire has a uniform resistance per unit length of 10.00 ohm/m. A uniform magnetic field is applied perpendicular to the plane of the two circles, in the direction shown. The magnetic field is increasing at a constant rate of 2.90 T/s. Find the magnitude of the induced current in the wire. 84.1e-4 Your response differs from the correct answer by more than 10%. Double check your calculations. A Find the direction of the induced current in the wire. (Select all that apply.) clockwise in the upper loop clockwise in the lower loop counterclockwise in the upper loop counterclockwise in the lower loop

Explanation / Answer

Induced emf=change in flux=area*dB/dt

Total area=pi(0.07*0.07-0.03*0.03)

Emf=0.0528V

Total length=2*pi*(0.03+0.07)=2*pi*0.1

Resistance=10*length

Current=emf /resistance=5.8*10(-3)=0.0058 A=5.8mA

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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