Multiple-ConceptExample 13 reviews the concepts used in this problem. A longsole

Question

Multiple-ConceptExample 13 reviews the concepts used in this problem. A longsolenoid (cross-sectional area = 1.4 x 10-6m2, number of turns per unit length = 2424 turns/m) isbent into a circular shape so it looks like a doughnut. Thiswire-wound doughnut is called a toroid. Assume that the diameter ofthe solenoid is small compared to the radius of the toroid, whichis 0.060 m. Find the emf induced in the toroid when the currentdecreases from 2.5 A to 1.1 A in a time of 0.15 s.

the tolerance is +/-2%

Chapter 22, Problem 58

Explanation / Answer

Given :    we know that magnetic field inside a solenoid is B =0nI n = number of turns per unit length = 2424 turns/m Here area of cross section is A = 1.4 x 10-6m2 We know that flux is = BA Then change in magnetic flux is = A (B2-B1) = A(0 n I2-0 n I1) I1 = 2.5 Amps I2 =1.1Amps 0 = 4*10-7H/m Time interval is t = 0.15 sec Then emf induced is E = - / t = - A(0 n I 2 - 0 nI1 ) /t                             = A(0 n I1 -0 nI2) / t                            = ----V                          

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