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Physics 8B Spring 2002 (Section 2)
FINAL EXAM
Useful data;
Permittivity constant & = 8.85 x 10°? C’/N-m?
Permeability constant [jy = 4 x 107 T-m/A
Elementary charge e = 1.6x 10°" C
Planck’s constant 4 = 6.63 x 107 J-s
Speed of light c = 3.0 x 10° m/s
leV=16x10"F
1. (10 pts) Two charges, g, = 1.0 uC and g, =—-2.0 UC, porta t
are initially positioned as shown, A third charge ' '
9, = 3.0 LC is then brought in from infinity, and then a ‘ \
fourth charge g, = —4.0 WLC is also brought in from fl i
infinity, so that the charges are at the vertices of a ! 1
square 0.50 m on a side. How much work is done by 1 !
outside forces in bringing the two charges in? Does it 9 rate ¢
matter which order the charges are brought in? 4
2. (15 pts) In the circuit, what do
the ideal voltmeter and ideal
ammeter read? Assume that all
the resistors have R = 2.0 Q,
except for the battery’s internal
resistance, which is 7 = 0.50 Q,
The battery has an emf of 12.0 V.
3. (15 pts) Three parallel wites are arranged as
shown, at the vertices of an equilateral
triangle with length 2.0 m on each side. |
Wire 1 has a current i, = 4.0 A going into &4
the page, wire 2 has a current i, = 2.0 A |
going into the page, and wire 3 has a current
4, = 3.0 A coming out of the page. What is
the magnitude and direction of the net force
per unit length on wire 1?
FROM :
Fax NO. : May. 21 2842 11:48AM Pe
(10 pts) A S.0 [LF capacitor consisting of two parallel circular plates of radius 20.0 cm
has current flowing into it, so that the potential difference across it increases steadily
from V=0 to V= 100 V in 5.0 ms. (a) What is the current going into the capacitor?
(6) What is the total displacement current? (c) What is the B field at a point inside
the plates and 12.0 cm from the center of the capacitor? (d) What is the B field at a
point just outside the plates and 12.0 cm from the wire?
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(15 pts) An object is placed 20.0 cm in front of a lens, A second lens is 25.0 cm
behind the first and has a focal length of +10.0 cm. A final image of the object
appears 12.0 cm behind the second lens. (a) Is the second lens convex or concave?
(b) What is the focal length of the first lens? (c) Is the first lens convex or concave?
(d) What is the overall magnification produced by the two lenses? (e) Is the final’
image upright or inverted?
. (10 pts) Light of wavelength 550 nm passes throngh twa slits and forms a pattern on a
sereen 1.50 m away. It is found that the fifth bright fringe is 80.0 cm away from the
central maximum, and the second diffraction minimum is 60.0 cm away from the
central maximum. (a) What are the slit width and the distance between the slits? (b)
How many bright fringes appear on either side of the central maximum? (c) How
many diffraction minima appear on either side of it?
(16 pts) Two observers, Sam and Ian, observe two events. Sam observes the time
interval between them to be 15.0 us, whereas Ian observes them to take place 6.0 [is
apart. Ian also observes them to occur at the same location. (a) What is the relative
velocity between Sam and Ian? (6) How far apart in space does Sam observe the
events to take place?
(15 pts} A photon of wavelength 0.710 pm collides with a stationary fictitious particle
called the zoan. The scattered photon has a wavelength of 0.960 pm and scatters at an
angle of 35° to the incident photon’s direction, (a) What is the mass of the zoan? {b)
Find the speed and wavelength of the zoan after the collision. (1 pm = 10"? m)
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