midterm exam 2 solution

# Physics for Scientists and Engineers (3rd Edition)

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Problems: 1) The switch S in the circuit shown is closed for a long time, and then it is opened at t = 0. The values ofthe elements in the circuit are V = 6.0 V, R = 2.0 Q, C = 4.0 uF, L = 2.5 mH. i ' a) What is the current through the resistor R 3 1 just before the switch is opened? :DC (Zinc/wi‘i' 1M A‘IC«X\ {Sink V C =) m0 (Mn/nevi [zawmd C L gal/4A Will/LC M V — -— .0 :) V=VPJ0 :DLLOIS Q : m": 3.0/4 H b) What is the current through the inductor just after the switch is opened? SW,“qu OWA => 99m Cum/94+ lﬂrle Li c) What is the frequency of the oscillatiOn of the circuit? 1 (,0: 2T). = —"— F 4‘ LC' \ :: E ‘ - C :1 NE" 271’ 9.9 104123 >< LLO><IO V d) How much energy is stored in the capacitor at t = 0? L1 I 1 ? - VC 5) UC E :g L\ e) How much energy is stored in the inductor at t = 0? —-Z - .3 Z"! -2] M: 1L; :é—XZAXW IZSxGUDA «HXIO :{ 2 2) A solenoid with N = 200 turns ofwire has a radius r = 0.5 m and a length 1 = 2.0 m. It carries a current of I = 100 A. 5 a) What is the magnetic ﬁeld inside this coil? — ﬂ/ .1: : I :_ _..._..._.—r 3’ /Ao M /M 0 K _- ... c1141 200xt00,4_ 2, f0.3i EL”qu AX 2.0/w. "'Gx b) A charged particle with q = 10'3 C travels with a velocity of v = 10 m/s along the axis of j the coil. Determine the magnitude and the direction of the force on the particle when it is in the center of the coil. c) What is the self inductance of the coil? 3/ L:&:ﬂ/ET/r2 '—u—- J- L 1—- ” 2 0xl2‘éxloﬂjxhx 0.25% L :5 20 t: d) How much energy is stored in the coil? 3/ 8 IE: % LI zél-XEOXlO’RIZrX [OH/4 :IUJOJI 3) A long wire along the z axis carries a current in the +2 direction. A rectangular coil with N = 4 turns and an area of A = 5 cm2 is placed on the +x axis with the plane of the coil in the x-z plane (see the diagram). To simplify the calculation use the approximation that the ﬁeld at every point of the coil is the same as at the center of the coil, which is at x = +10 cm. a) What is the magnetic ﬂux through the coil in terms of N, I, x, and A? “-" *3 b) If the current increases at a rate of 10 A/s, what is the absolute value of the voltage 6 induced in the 002i? 0 A44 ol I IE: "31433):% X 0H: :)|El:EXiO‘17g/Eﬂ X c) In which direction will the induced current ﬂow, clockwise or counterclockwise, while L! viewing the coil as shown in the diagram? Indicate this direction by drawing an arrow inthe diagram. ~ (gm-Z ‘ 3 M => ICOM/‘aL/vizzgwih‘} d) If the coil is rotated by 900 around the x axis so that it lies in the x-y plane, what will be the induced volta e 'usti our answer ? 2 a (J fy y ) 3 L0 213:”) «II/Um»; 4) Two long parallel wires, carrying currents of I; = 5.0 A and [2 = 10.0 A in opposite directions, are separated by a distance of d = 0.50 m as indicated in the sketch. a) Using Ampere’s Law, determine the magnetic ﬁeld strength B at a point P located on the 10.0 A :2, wire due to the 5.0 A current’iir'fhe other wire. .— ( _ \ A “i/Paﬂ’d‘i/MWZ ( ‘ls \l A d - x / 5L8 Uh}; 3.01,? :3x2n =/u0._.| :> u AMOMJ (Lin/oz? a.) iﬂxrj/rCﬁ/‘iidi :> [E]:— ?X (Zigaxg’O/i :lEUx [0— Ti b) Calculate the resulting magnetic force per unit length on the 10.0 A wire and its direction. 1 -—— ~——- "“ - .— L“... +:_La,€3 => .1"; Egon/4&9“ .1200 ,W. you have calculated in parts a and b of this problem. X“ 390% 6 0) Draw arrows in the sketch to indicate the direction of the magnetic ﬁeld and the force ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern