A circular loop of radius 17 cm is located in the plane of the paper inside a ho

Question

A circular loop of radius 17 cm is located in the plane of the paper inside a homogeneous magnetic field of 0.1 T pointing into the paper. It is connected in series with a resistor of 275 ?. The magnetic field is now increased at a constant rate by a factor of 2.2 in 11.0 s.

1.)Calculate the magnitude of the induced emf in the loop in V during that time.

2.)Calculate the current induced in the loop in A during that time.

3.)Calculate the average induced voltage, in V, when the magnetic field is constant at 0.22 T while the loop is pulled horizontally out of the magnetic field region in 6.3 s at constant speed.

Explanation / Answer

A=pir^2 =pi*0.17^2 =0.0908 m^2

dB =(f-1)B =(2.2-1)*0.1=0.12 T

E=A(dB/dt) =0.0908*(0.12/11)

E=9.9*10^-4 V or 0.99mV

b)

I=E/R =0.99*10^-3/275

I=3.6*10^-6 A or 3.6uA

c)

d(flux) =BA =0.22*0.0908= =0.02 Wb

V=d(flux)/dt =0.02/6.3

V=3.17*10^-3 s or 3.17 ms

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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