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Interactive Exercises 22.04: Collinear Charges and the Principle of Superposition Question 1 The figure below shaws...
Interactive Exercises 21.09: An Application of Superposition In these exercises, let's return to the geometry of...
Interactive Exercises 21.09: An Application of Superposition In these exercises, let's return to the geometry of Fig. 21.8.1 (reproduced below). Particles #1 and #2 are fixed on the x axis with L = 5.00 m. The charges of the three particles are as follows q! = 1.50 μC.q2 2.00pC, and q3 = 3.50 μ . Our task is to find the initial acceleration of particle 3 (mass m = 0.0200 kg), which s free to move. The plan of attack...
Problem 4 (25 points) The figure below shows a mass spectrometer, a device used to measure...
Problem 4 (25 points) The figure below shows a mass spectrometer, a device used to measure the masses of ions. Consider a positive ion of unknown mass m and charge q = 3.2 x 10-19 C. The ion is first accelerated from rest through a potential difference of magnitude 1v1 = 750 V inside a source. After leaving the source, it travels upward at constant speed and enters a region of uniform magnetic field B = 2.5 T directed out...
Interactive Exercises 22.14: Motion of a Charged Particle in an External Electric Field I A particle...
Interactive Exercises 22.14: Motion of a Charged Particle in an External Electric Field I A particle has mass 10.0 g and charge of magnitude l 1.00 mC. You do not know the sign of the particle's cherge. The particle moves in the horizcntal xy plene. (You carn ignore the effects of the force due to gravity on the partice.) The partide is projected from the rigin with initial velocity V witn components ex d oy that you can adjust-see the...
When we find the electric field due to a continuous charge distribution, we imagine slicing that...
When we find the electric field due to a continuous charge distribution, we imagine slicing that source up into small pieces, finding the electric field produced by the pieces, and then integrating to find the electric field. Let's see what happens if we break a finite rod up into a small number of finite partides. The figure below shows a rod of length 2 carrying a uniform charge Q modeled as five particles of charge Q/5. Two particles are at...
d/2 d/2 Figure 1: (a) Question 2, (b) Question 3 1. The charges and coordinates of two charged particles held fixed in an ry plane are q+3.0uC, 3.5 cm, y0.50 cm, and 24.0uC, 2 (a) Find the -2.0cm, y2...
d/2 d/2 Figure 1: (a) Question 2, (b) Question 3 1. The charges and coordinates of two charged particles held fixed in an ry plane are q+3.0uC, 3.5 cm, y0.50 cm, and 24.0uC, 2 (a) Find the -2.0cm, y2 1.5 cm i. magnitude and ii. direction of the electrostatic force on particle 2 due to particle 1 (b) At what i. z and ії. y coordinates should a third particle of charge g.-+4.0 μC be placed such that the net...
Question 17 (1 point) Consider the standing wave pattern below created by a string fixed at...
Question 17 (1 point) Consider the standing wave pattern below created by a string fixed at both ends. The string is under a tension of 0.98 N and has a mass of 2.0 grams. What is the frequency of the standing wave? y (m) =>*(m) o 1.0 2.0 3.0 O 1.2 Hz O 38 Hz O 78 Hz O 0.60 Hz O 19 Hz Question 18 (1 point) The below positively charged particle passes through a region containing uniform electric...
Question 2 In the Figure 17 below the value of the chose me te Loop #1:...
Question 2 In the Figure 17 below the value of the chose me te Loop #1: $8.as - 30 Loop #2: B.as - 24 Loop #3: 8.as - 4H Calculate the magnitude of the current Il 120 130 O 3.0 A O 2.5 A 2.0 A 1.5 A Question Figure 11 below shows the electric field lines in three different regions of space (A, B, and C). A proton is moving from R to S in each region. Rank the...
Electric Fields Equipment and Setup: Mathematica file- ElectricFields.nb Section A: Electric Fields Due to Two Charges...
Electric Fields Equipment and Setup: Mathematica file- ElectricFields.nb Section A: Electric Fields Due to Two Charges Computer Setup for Section A 1. The first interactive panel shows electric fields due to two point charges, Qat (-1 m,0) and Q, at (1 m,0). The controls for this panel are at the top on the left 2. The top line has two checkboxes: one to Show Axes and the other to Show Field Lines. The top line also has a slider labeled...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
Interactive Exercises 21.09: An Application of Superposition In these exercises, let's return to the geometry of Fig. 21.8.1 (reproduced below). Particles #1 and #2 are fixed on the x axis with L = 5.00 m. The charges of the three particles are as follows q! = 1.50 μC.q2 2.00pC, and q3 = 3.50 μ . Our task is to find the initial acceleration of particle 3 (mass m = 0.0200 kg), which s free to move. The plan of attack...
Problem 4 (25 points) The figure below shows a mass spectrometer, a device used to measure the masses of ions. Consider a positive ion of unknown mass m and charge q = 3.2 x 10-19 C. The ion is first accelerated from rest through a potential difference of magnitude 1v1 = 750 V inside a source. After leaving the source, it travels upward at constant speed and enters a region of uniform magnetic field B = 2.5 T directed out...
Interactive Exercises 22.14: Motion of a Charged Particle in an External Electric Field I A particle has mass 10.0 g and charge of magnitude l 1.00 mC. You do not know the sign of the particle's cherge. The particle moves in the horizcntal xy plene. (You carn ignore the effects of the force due to gravity on the partice.) The partide is projected from the rigin with initial velocity V witn components ex d oy that you can adjust-see the...
When we find the electric field due to a continuous charge distribution, we imagine slicing that source up into small pieces, finding the electric field produced by the pieces, and then integrating to find the electric field. Let's see what happens if we break a finite rod up into a small number of finite partides. The figure below shows a rod of length 2 carrying a uniform charge Q modeled as five particles of charge Q/5. Two particles are at...
d/2 d/2 Figure 1: (a) Question 2, (b) Question 3 1. The charges and coordinates of two charged particles held fixed in an ry plane are q+3.0uC, 3.5 cm, y0.50 cm, and 24.0uC, 2 (a) Find the -2.0cm, y2 1.5 cm i. magnitude and ii. direction of the electrostatic force on particle 2 due to particle 1 (b) At what i. z and ії. y coordinates should a third particle of charge g.-+4.0 μC be placed such that the net...
Question 17 (1 point) Consider the standing wave pattern below created by a string fixed at both ends. The string is under a tension of 0.98 N and has a mass of 2.0 grams. What is the frequency of the standing wave? y (m) =>*(m) o 1.0 2.0 3.0 O 1.2 Hz O 38 Hz O 78 Hz O 0.60 Hz O 19 Hz Question 18 (1 point) The below positively charged particle passes through a region containing uniform electric...
Question 2 In the Figure 17 below the value of the chose me te Loop #1: $8.as - 30 Loop #2: B.as - 24 Loop #3: 8.as - 4H Calculate the magnitude of the current Il 120 130 O 3.0 A O 2.5 A 2.0 A 1.5 A Question Figure 11 below shows the electric field lines in three different regions of space (A, B, and C). A proton is moving from R to S in each region. Rank the...
Electric Fields Equipment and Setup: Mathematica file- ElectricFields.nb Section A: Electric Fields Due to Two Charges Computer Setup for Section A 1. The first interactive panel shows electric fields due to two point charges, Qat (-1 m,0) and Q, at (1 m,0). The controls for this panel are at the top on the left 2. The top line has two checkboxes: one to Show Axes and the other to Show Field Lines. The top line also has a slider labeled...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
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