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A coil has an average induced current of 230 A. In a time of 0.1 s through one turn of a 24-turn coil of wire,

A coil has an average induced current of 230 A. In a time of 0.1 s through one turn of a 24-turn coil of wire, the magnetic flux reduced to 6 Wb from 11 Wb.

  1. Calculate the wire's resistance,
  2. If the current is reduced to 115 A, calculate the wire resistance.
image text in transcribedimage text in transcribedimage text in transcribed Dear student, page ! In question 2, the current is reduced to 115 AS Something must have been dove. enty two things are, possible - Case 1: we assume EMF is the same i.e. 120 0 v. The current is 115A - Resistance by simple ampplication of ohm's law = 1200 2 = 10. 4452 115 But in this scenario we've to change the wine itself. Resistance = 8 8 = Resistivity A I = length of the total wipe it A = Area of cross - section of the wine. we see if we keep these 3 things ( 3, 2, A) the same under no circumsta rices can the resistance charge But here it has changed from 5. 2252 to 10.4 452 ,= ), Either of Atleast ove of 8,2, A is changed. and when any one of 8, 2, A is changed . itself that amounts to changing the wire,. So we this scenario , is less likely to be trove as there is no mention of chang- -ing the wolfe in the question.Page ? So we are left with the only caseine. Case 2: EMF = Current X Resistance. - Now current is reduced. we can't change the wine because the question does not permit us to do so, =) For consistency we have to reduce the EMF. From Faraday's Law, How Can we EMF = -N dQB Magnetic flux. NE No of turns in the coil of wine. N = 24 initially, spoils tou Here ". Initially, EMF = - 24 At bout a or (magnitude ) 90 0 0 0- 24 AtPage 3 Now there are we can change bdamp by these woolys: EMP a) keeping no of turing the same but changing ( AP) 1 14 9 6) Change no of turns but keeping Ack! the same. ( A$ 1 = Rate of change of flux through a single turn. We choose to do the latter just by our Choice. @ By changing our magnetic field setup we ensure that (A 108 / is And1, not changed. But now , we change the number of turons. From(1 ) : we see if current is reduced by half =) EMF is also reduced, by half ! weare changing, the no of turns only -) No of turing should be reduced by half. from, 24-turn cold we reduce it to a 24 = 12 - turn coll. that will 2

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