[PDF] Collaborative ASSIGNMENT Assignment 5: Electromagnetic Induction




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[PDF] Collaborative ASSIGNMENT Assignment 5: Electromagnetic Induction

25 nov 2015 · Collaborative ASSIGNMENT Assignment 5: Electromagnetic Induction 1 A conducting rod of length l moves with a constant velocity in a 

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[PDF] Collaborative ASSIGNMENT Assignment 5: Electromagnetic Induction 86782_3Hw5_em_2015.pdf Electricity and Magnetism: PHY-204Fall Semester 2015Collaborative ASSIGNMENT

Assignment5: Electromagnetic Induction

1. A conducting rod of lengthlmoves with a constant velocity in a direction perpendic- ular to a long, straight wire carrying a steady currentI, as shown below. Find the magnitude of the emf generated between the ends of the rod. The same rod now moves with a velocityvparallel to the wire. The axis of the rod is maintained perpendicular to the wire with the near end a distanceraway, as shown below. Find the magnitude of the emf induced. 2. A bar of massmand resistanceRslides without friction in a horizontal plane, moving on parallel rails as shown overleaf. The rails are separated by a distanced. A battery that maintains a constant emf"is connected between the rails, and a constant magnetic eld ⃗Bis directed perpendicularly out of the page. Assuming the bar starts from rest at timet= 0, nd the speedv(t) with which it moves at timet.

Date: 25 November, 2015, 5 : 00 pm1

Electricity and Magnetism: PHY-204Fall Semester 2015 3. A long, straight wire carries a current given byI=Imaxsin(!t+ϕ). The wire lies in the plane of a rectangular coil ofNturns of wire as shown below. The quantitiesImax, !andϕare all constants. Determine the emf induced in the coil by the magnetic eld created by the current in the straight wire. 4. A thin wire of lengthlis held parallel to and a distancedabove a long, thin wire carrying currentI, as shown below. The long wire has a xed position. The wire of lengthlis released at instantt= 0 and falls, remaining parallel to the current-carrying wire as it falls. Assume the falling wire accelerates at⃗gm=s2. Derive an equation for the emf induced in it as a function of time.

Date: 25 November, 2015, 5 : 00 pm2

Electricity and Magnetism: PHY-204Fall Semester 2015 5. A rectangular loop of areaAis placed in a region where the magnetic eld is per- pendicular to the plane of the loop. The magnitude of the eld is allowed to vary in time according toB=Bmaxet=, whereBmaxandare constants. The eld has the constant valueBmaxfort <0. Find the emf induced in the loop as a function of time. 6. Two in nitely long solenoids (shown in cross section) pass through a circuit as shown below. The magnitude of ⃗Binside each solenoid is the same and is increasing at the rate of 100T=s. What is the current in each resistor?

Date: 25 November, 2015, 5 : 00 pm3


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