Exercise j D = 143 m 2. Correct. Correct. Heimadæmi 8. Part A. Part B. Part C. Due: 11:00pm on Thursday, March 10, 2016

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1 Heimadæmi 8 Due: 11:00pm on Thurday, March 10, 2016 You will receive no credit for item you complete after the aignment i due. Grading Policy Exercie A parallel plate, air filled capacitor i being charged a in. The circular plate have radiu 4.00 cm, and at a particular intant, the conduction current in the wire i A What i the diplacement current denity j D Expre your anwer with the appropriate unit. in the air pace between the plate? A j D 143 m 2 What i the rate at which the electric field between the plate i changing? de V/m Part C What i the induced magnetic field between the plate at a ditance of 2.00 Expre your anwer with the appropriate unit. B T cm from the axi?

2 Part D What i the induced magnetic field between the plate at a ditance of 1.00 Expre your anwer with the appropriate unit. B T cm from the axi? Exercie The magnetic field within a long, traight olenoid with a circular cro ection and radiu R i increaing at a rate of. What i the rate of change of flux through a circle with radiu r1 inide the olenoid, normal to the axi of the olenoid, and with center on the olenoid axi? Expre your anwer in term of the variable R, B, r1, and appropriate contant. dφ B πr 1 2 Find the magnitude of the induced electric field inide the olenoid, at a ditance r1 from it axi. Expre your anwer in term of the variable R, B, r1, and appropriate contant. E i r1 2 Part C What i the magnitude of the induced electric field outide the olenoid, at a ditance r2 from the axi? Expre your anwer in term of the variable R, B, r2, and appropriate contant.

3 R E 2 o 2r2 Part D What i the magnitude of the induced emf in a circular turn of radiu Expre your anwer in term of the variable R, B, and appropriate contant. E 1 ( ) 2 R 2 π R/2 that ha it center on the olenoid axi? Part E What i the magnitude of the induced emf if the radiu in part D i R? Expre your anwer in term of the variable R, B, and appropriate contant. E 2 R 2 π Part F What i the induced emf if the radiu in part D i 2R? Expre your anwer in term of the variable R, B, and appropriate contant. E 3 R 2 π Exercie 29.6 A coil 3.80 cm radiu, containing 520 turn, i placed in a uniform magnetic field that varie with time according to B ( T/ )t + ( T/ 4 )t 4 Ω The coil i connected to a 640 reitor, and it plane i perpendicular to the magnetic field. You can ignore the reitance of the coil.

4 Find the magnitude of the induced emf in the coil a a function of time. E V +( V/ 3 )t 3 E V +( V/ 3 )t 3 E V +( V/ 3 )t 3 E V +( V/ 3 )t 3 What i the current in the reitor at time t0 5.25? I A Alternative Exercie A a new electrical engineer for the local power company, you are aigned the project of deigning a generator of inuoidal ac voltage with a maximum voltage of 120 V. Beide plenty of wire, you have two trong magnet that can produce a contant uniform magnetic field of 2.0 T over a quare area with a length of 10.0 cm on a ide when the magnet are eparated by a ditance of 12.4 cm. The baic deign hould conit of a quare coil turning in the uniform magnetic field. To have an acceptable coil reitance, the coil can have at mot 450 loop. What i the minimum rotation rate of the coil o it will produce the required voltage? Expre your anwer uing two ignificant figure. ω 130 rpm Exercie 30.6 A toroidal olenoid with mean radiu r and cro ectional area A i wound uniformly with N1 turn. A econd toroidal olenoid with N2 turn i wound uniformly on top of the firt, o that the two olenoid have the ame cro ectional area and mean radiu.

5 What i the mutual inductance of the two olenoid? Aume that the magnetic field of the firt olenoid i uniform acro the cro ection of the two olenoid. Expre your anwer in term of the variable N1, N2, A, r, magnetic contant μ 0 and other appropriate contant. M μ0n1n2a 2πr N1 N2 r cm A cm 2 If 560 turn, 250 turn, 11.6, and 0.910, what i the value of the mutual inductance? Expre your anwer to three ignificant figure and include the appropriate unit. M H Exercie V Ω mh A 35.0 battery with negligible internal reitance, a 50.0 reitor, and a 1.25 inductor with negligible reitance are all connected in erie with an open witch. The witch i uddenly cloed. How long after cloing the witch will the current through the inductor reach one half of it maximum value? t How long after cloing the witch will the energy tored in the inductor reach one half of it maximum value? t Exercie 30.11

6 The inductor in the figure ha inductance and carrie a current in the direction hown that i decreaing at a uniform rate, di/ A/ H Find the elf induced emf. E V Which end of the inductor, a or b, i at a higher potential? a b Score Summary: Your core on thi aignment i 98.6%. You received 7.89 out of a poible total of 8 point.