Bookmarks Window Help erbilt University PHYs 1502 Spring17 RERICHA/HUTsoN/EHRMAN

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Bookmarks Window Help erbilt University PHYs 1502 Spring17 RERICHA/HUTsoN/EHRMAN: Hw6: Magnetic Fields, Magn ning.com/ibiscms/mod/ibis/view.php?id 3204726 hys... University Application ...t University Home I Chegg.com Kuchnir Der ..gy About Us AAMC Account 31312017 06:00 PM 56.3/100 2/23/2017 10:39 PM Gra Print Calculator Question 8 of 8 incor Ea Sapling Learning Map The component of the external magnetic field along the central axis of a 78-turn circular coil of radius 41.0 cm decreases from 1.90 T to 0.150 Tin 2.90 s. If the resistance of the coil is 6.000. what is the magnitude of the induced current in the coil? What is the direction of the current if the axial component of the field points away from the viewer? O clockwise O counter-clockwise There is a hint available! divider bar again to hide the hint. e Previous 2 Check Answer Next Ext

Explanation / Answer

The magnitude of induced voltage in the coil -

e = N*d phi/dt

= N* d(B*A)/dt

= N*A*dB/dt

=> e = (N*pi*r^2)*dB/dt

=> e = (78*3.141*0.41^2)(1.90 - 0.15) / 2.90 = 24.85 V

So, induced current, i = e / R = 24.85 / 6.0 = 4.14 A

The direction of current is in the clock-wise direction.

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