In the figure, a rectangular loop of wire with length a = 2.1 cm, width b = 1.2

Question

In the figure, a rectangular loop of wire with length a = 2.1 cm, width b = 1.2 cm, and resistance R = 0.89 m is placed near an infinitely long wire carrying current i = 7.1 A. The loop is then moved away from the wire at a constant speed v = 3.8 mm/s. When the center of the loop is at distance r = 2.5 cm, what are (a) the magnitude of the magnetic flux through the loop and (b) the current in amperes induced in the loop?

please explain the answer;;

it is not 1.43e-9 for part and not 5.31e-6 for b

Explanation / Answer

Ans: given data

a= 2.1cm = 2.1*10^-2m, b= 1.2*10^-2m, r = 2.5*10^-2m

i=7.1A R = 0.89mohm V = 3.8mm/s

= dA*B

   = 0a dx r-b/2r+b/2 dy B(y)

= 0ia/2 dy/y

= 0ia/2 ln(2r-b/2r+b)

= 4*10^-7* 7.1*2.1*10^-2/2 *ln(2*2.5*10^-2 – 1.2*10^-2 / 2*2.5*10^-2 + 1.2*10^-2 )

= 2.98*10^-8 *ln (0.6129)

= -7.85*10^-5

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

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