Test 3 Apr 2004a

# Test 3 Apr 2004a - Physics 1322 3rd Hour Quiz Benbrook Name...

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Unformatted text preview: April 30, 2004 Physics 1322 3rd Hour Quiz - Benbrook Name: Easy Stuff — 2 points per problem. Show work in space provided. 1. Two line circuits carry currents I1 and 12 around space curves cl and Cg . Write Ampere’s Force Law for the force on circuit 1 due to circuit 2. ,. an ’s_ ' T § é‘éi ﬁgﬁg (:5 / sc’ /" "*L i, , . ‘/// q ck 1:41P r 2. Write the Biot—Savart Law for circuit 1 of the previous problem. of??? )0)?“ 020% I g ﬂ 3. Write the Lorentz Force for a charge q moving in ﬁelds E and g with velocity 17 . 'r’ ﬁco (E30? {3) ?\ 4. For the case of a charge q moving in a uniform magnetic ﬁeld E , what is the name that describes the trajectory of the charge? a 5. If the charge of the previous problem has mass m and is moving with its velocity 17 perpendicular to the magnetic ﬁeld, what is the radius of the circular orbit followed by the charge? J_J [m V O 6. What is the angular frequency that describes the motion of the previous problem? 1‘15 141 O 7. Given a magnetic ﬁeld E , how would you calculate the force on acircuit c carrying current I in the ﬁeld? .*’ “ﬁg F'Igcyw 8. Consider a circuit described by the space curve c carrying current I and write the equation that you evaluate to calculate its magnetic moment. Z4? Try? ?» 9. What is the torque on a dipole E in a magnetic ﬁeld I? ? / ,3 Ox; (/0 x8 10. Write Ampere’s Circuital Law. 3 z M 11. Give an approximate expression for the magnetic ﬁeld inside a long solenoid With N turns, length l , and cross sectional area A if the current in the Winding is I . 4 fl / a l e 14%— 1’ O 12. What is the self inductance of the solenoid in the previous problem? A 3 A ﬁt ﬂ 0 (6 13., What is the magnetic energy stored in an inductor L carrying current I ? ﬂ‘ 7% Z EL 0 14. Give an expression for the displacement current density. ggzﬁg O at 15. Write the four equations that we refer to as Maxwell’s equations (in vector differential 003:0 i) 16. Deﬁne magnetic ﬂux. A y/V P; , lg 22 ~44 17. What is the time constant of a series L R circuit? (7’ c .5; at . ‘ )1“ 18. For an ideal transformer with N1 turns in the primary and N2 turns in the secondary, What is the output voltage Vout for an input voltage Mn 7 19. If current I2 flows in the secondary of the transformer of the previous problem, What is the current in the primary? 1,1 m O 1'1 : 777 20, Give expressions for the complex impedance of a resistor R , a capacitor C , and an inductor L. y .. I .1 'V ' Y ' 2er t 732%: WC / a ' MC 21. Complex impedances “add” like Maﬁm- . 0 O For the next two problems, assume that a plane wave in a medium of refractive index n1 is incident on a plane interface beyond Which the index of refraction is 712 . The angle of incidence is 9i , the reﬂected wave leaves at angle (9T , and the transmitted wave leaves at angle 1% . 22. What is the relation between 91' and 6,4 ? 36V 0 23. What is the relation between 9.; and 9t 7 W, sin a :- ﬂz, sine: 24. What is the mirror equation for a spherical mirror of radius R ? ,L L,l~. CTO’lL O 25. What is the lens mal—rzr’s formula? V f’O’Jr/M/Z/‘Zfl O 26. What! is the Jt—hin lens equation? -—-—- I if 0+C-"1; rig/in WV u Hard Stuff Show work on separate sheets provided. 1, A mutual inductance consists of a long straight Wire and another Wire in the shape of a square of side a . The square is oriented such that the long straight Wire lies in the plane of the square parallel to one side of the square and the perpendicuéar distance from the Wire to the closest side of the square is a . Calculate the mutual inductance. (Neurnannls (20 points) 2. A circular di§k of radius a has a surface charge density a and spins. about its axis With angular velocity u; . a) What is the magnetic moment of the disk? (20 points)! b) What is the magnetic ﬁeld produced at a point can the axis of the disk a distance 2 from the center of the disk? (20 points) \I Consider the AC circuit below. 0 a) Find the effective impedance driven by the voltage source. (10 points) _ b) Use your answer to determine the amplitude and phase of the current supplied by the source to the circuit. (20 points) 0) Make a crude plot of the current amplitude as a function of w . (10 points) @TWO converging lenses. each of focal length f , are separated by distance 4f as shown below. An object is located 2f in front of the ﬁrst lens. J a) Find the location and magniﬁcation of the image formed by the first. lens. (29 points) b) Find the location and magniﬁcation of the final image formed by both lenses. (20 points) A; Q” 0% / , % vi»: 3&5 W, , ,V V ! J ) 1 ~ . , { , ‘ x i 4 ' ‘ . ‘ ‘ . , * w ‘ 1 g 1 I i k I j ‘ \ /\ ‘ g \ ‘ mim I ‘ wummmmWanwmmm mewmmmmmmmmwmmﬁmwm - «ww‘mmw ‘ i k i ‘ i \ \ \“ IL { F ~ 1‘ ‘ , ‘ ‘ \ ‘ , P ‘ ‘ WWWQWQWW4 1 I , 1 . i U 5 - 1 \ ‘ I ‘ l ‘ V \ I ‘ ‘ , ‘ ‘ 1 ‘ v ‘ ‘ ‘ E I § , 2 1 ...
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Test 3 Apr 2004a - Physics 1322 3rd Hour Quiz Benbrook Name...

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