Hafez a radi, john o rasmussen auth principles of physics for scientists and engineers 2 40

... the total number of nodes and the position of the nodes measured from the left end of string Sound Waves 15 Sound waves are the most common examples of longitudinal waves The speed of sound waves ... power form: P = 21 ρ A v 2 smax (15 .23 ) Thus, the power of a periodic sound wave is proportional to the square of the angular frequency and the square of the displac...

Ngày tải lên: 05/10/2016, 11:49

... at one end A person at the other end hears two sounds as a result of the propagation of two longitudinal waves, one that traveled through the rod and the other that traveled through the air at ... at constant pressure to the heat capacity at constant volume (a) Show that Bad = γ P for an ideal gas (b) Show that the speed of a longitudinal wave √ in the adiabatic process of a...

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... diffraction, and polarization of light and need to get satisfactory descriptions of these phenomena, we treat light as waves Such a study is referred to as physical optics H A Radi and J O Rasmussen, ... position of the nodes and antinodes (c) What is the maximum amplitude of an element at an antinode? (9) The two sources shown in the evacuated vessel of Fig 16 .22 ,...

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... sin[ (A + δm ) /2] sin (A/ 2) −−−−−−−−−−→ When A is small n= A + δm A (17. 12) The most charming example of color dispersion is that of a rainbow To understand the formation of a rainbow we consider a ... An anti-shoplifter convex spherical mirror has a radius of curvature of 0.4 m Locate and describe the image formed by a man standing 3.8 m away from the mirror...

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... in air falls on water at an angle of incidence of 45◦ and then passes through a glass block before it emerges out to air again The surfaces of water and glass are parallel and their indexes of ... the air-alcohol boundary at an angle of incidence of 60◦ ? (6) A beam of light in air falls on a liquid surface at an angle of incidence of 55◦ The liquid has an unknow...

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... defined as the direction of polarization of the wave However, an ordinary beam of light contains a large number of electromagnetic waves emitted by atoms having random vibrational orientations, → and ... the Coulomb constant Coulomb found that each charged particle (also called a point charge) exerts a force of this magnitude on the other particle, and the two forces form...

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... Gravitational attraction A classical model of the hydrogen atom Solution: (a) From Coulomb’s law, the magnitude of the electrostatic force of → attraction Fe between the electron and the proton ... 20 Electric Fields When x a we can take out a factor of x from each denominator of the brackets of the last formula for x > +a and then expand each of these terms by bin...

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... that: (x dx x = 3 /2 +a ) a2 (x + a2 ) (20 .33) Thus: L /2 E = 2kλ a = 2kλ a x dx = kλ a √ 2 3 /2 (x + a ) a2 x + a2 L /2 a2 (L /2) 2 + a2 −0 = L /2 kλ L a (L /2) 2 + a2 (20 .34) 20 .4 Electric Field of a ... Example 20 .4 Figure 20 .14 shows a non-conducting rod that has a uniform positive charge density +λ and a total charge Q along its right half, a...

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... central axes along a common horizontal line and separated by a distance of R, see Fig 20 .36 Ring has a uniform positive charge q1 , while ring has a uniform positive charge q2 Given that the ... results of Exercise 21 to the near-field approximation E = σ /2 ◦ as well as to the point charge approximation E = k(π R2 σ ) /a2 , and find which result(s) of Exercise 21 match...

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... such an electron has to be accelerated from rest through a potential difference of 4.55 kV to reach a speed of × 107 m/s Equations 22 .3 and 22 .6 hold true for both discrete and continuous source ... Potential 735 Suppose we move a particle of an arbitrary charge q from point A to point B by applying a force on it and changing its kinetic energy The applied force mu...

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... 22 Electric Potential For a Point Above One End of the Rod When a point P is located at a distance a from one of the rod’s ends, see Fig 22 .17, we can perform similar calculations to find that: ... Therefore: V = 2kλ ln x + a2 ) (22 .48) L /2 (L /2) 2 + a2 ) − ln (a) L /2 + (L /2) 2 + a2 a (22 .49) When we use the fact that the total charge Q = λL, we get: V = L /2 +...

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... inverse of the capacitance of an air capacitor of separation d − a, and a/ κ ◦ A is the inverse of the capacitance of a capacitor of separation a but filled with a dielectric 23 .4 Capacitors in Parallel ... two basic combinations of capacitors that allow such a replacement Capacitors in a Parallel Combination Figure 23 .1 1a shows two capacitors of capacita...

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... Section 23 .2 Calculating Capacitance (4) A computer memory chip contains a large number of capacitors, each of which has a plate area A = 20 × 10− 12 m2 and a capacitance of 50 f F (50 femtofarads) ... (a) and (b) of Fig 23 . 32 Show that the capacitances of the two capacitors of parts (a) and (b) are: C= A d κ + 2 ◦ A κ1 2 and C = respectively, d κ1...

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... to move In fact, it is a device that works as an energy converter A battery is often called a source of electromotive force or, a source of emf (this unfortunate historical name describes a potential ... Parallel Combination Figure 24 .1 5a shows two resistors of resistances R1 and R2 that are connected in parallel with a battery B Figure 24 .15b shows a circuit diagr...

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... ampere-hours (A. h) For instance, a battery that can produce a current of A for h is rated as a 20 A. h battery (a) Find the total energy stored in a 12 V battery rated at 75 A. h (Express your answer ... Section 24 .7 The RC Circuit (46) In the process of charging a capacitor of capacitance C through a resistor of resistance R, about 63% of the maximum charge...

Ngày tải lên: 05/10/2016, 11:51