1. A long solenoid of length 8 m with a cross-sectional areaof 5.0 x 10 -5 m 2 c
ID: 1674952 • Letter: 1
Question
1. A long solenoid of length 8 m with a cross-sectional areaof 5.0 x 10-5 m2 contains a total of 52,000turns. A) Calculate the self-inductance of the solenoid, assumingthat the core of the solenoid is air. B) If the current in the winding starts at 0 A and isincreased steadily to 1.5 A in a time of 0.20 sec, what is the EMFinduced in the solenoid? 2. A permanent bar magnet has a field strength of 1T. Supposewe have a circular wire loop of radius R= 0.50 cm that is carryinga current of I Amperes. What current is required to make a magnetic field at thecenter of the wire loop that is equal to the field of the barmagnet? thank you so much! 1. A long solenoid of length 8 m with a cross-sectional areaof 5.0 x 10-5 m2 contains a total of 52,000turns. A) Calculate the self-inductance of the solenoid, assumingthat the core of the solenoid is air. B) If the current in the winding starts at 0 A and isincreased steadily to 1.5 A in a time of 0.20 sec, what is the EMFinduced in the solenoid? 2. A permanent bar magnet has a field strength of 1T. Supposewe have a circular wire loop of radius R= 0.50 cm that is carryinga current of I Amperes. What current is required to make a magnetic field at thecenter of the wire loop that is equal to the field of the barmagnet? thank you so much!Explanation / Answer
1. A. L = oN2A / l =1.257E-6*520002*5E-5 / 8 = 0.0212 H = 21.2 mH B. = LI/t = 0.0212*(1.5-0) / 0.2 = 0.159 V 2. B = oI/2R = 1 T I = 1*2*0.5E-2/1.257E-6 = 7958 A
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