Question

A long straight wire and rectangular thin wire loop shown in the figure below are in the same plane with the geometrical dimensions specified as a=0.444 cm, b=2.75 cm and c=80.5 cm. The total resistance of the wire loop R=1.95 1. The long wire is driven by a triangle-wave generator resulting in the time-dependent current waveform I(t) also depicted in the figure. The magnitude of the waveform Io=13.24 A and the frequency f=56 Hz (temporal period of the waveform T=1/f). It) с b R M. a -10 I(t) mA. Find magnitude of the current Iind(t1) induced in the rectangular loop at moments of time ti when the driving current I(t1)=0 and is increasing: Iind(t1)= What is the direction of the induced current at such moments of time ti?: Clockwise Counterclockwise mA. Find magnitude of the current Iind(t2) induced in the rectangular loop at moments of time t2 when the driving current I(t2)=0 and is decreasing: Iind(t2)= What is the direction of the induced current at such moments of time t2?: Clockwise Counterclockwise

Answer 1

Rel.95.22 a=0.444 am b = 2.75 cm G - 20. Sami Io=13.24 A +=56H2 8 = Mo Ilt) dy y. any Ja d = B.DA= Lato Mo It) cody 2017 4 = Ho It) ?TT In(ath) اهلل E = -d+ dt 2 IT dt - In(at b) dIC) 14 ( ) dild) I = E R 1 Moc ln R 2 IT dt a I= -1 X (417x1017)(0-805) 1.95 In/0.444+2-75 x dIt 2 TT 0.444 dt I= -6292x 10-7 * Mant) Slobe = d Il Io (I) 41. = 4 Iof dt t/ t (1.6292x 10-7) X(4x 13.24x 56) I = 4,83169X164 A 0.48317 mA b as ariginal field is out of page caused anduced flux will increase so accarcing to Lena's law. anduced field onto the page It will clock wine so e It will be same as @ bit direction will be change 0.48 317 MA Counter clockwise

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