1. Two small identical conducting spheres have charges of 2.0x10-9C and -0.4x10-9C respectively (a) When placed 4cm apart, what is the force between them? (b) Calculate the dissociation (called ionization) energy, in units of electron volts, of a hydrogen atom if the electron is 0.5x10-10^m from the proton.
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- An object of mass 5 × 10-6 g is placed over a thin positively charged sheet of surface density of charge σ = 4.0 × 10-6C/m2 (figure shown below). Estimate the charge that should be given to this object so that upon release it will not fall down. Calculate the number of electrons that is to be removed to give this charge. How much mass loss is caused by this removal of electrons?Three charges are placed on three corners of a square, as shown. Each side of the square is 30 cm. Compute E at the fourth corner. What would be the force on a 6 µC charge placed at the vacant corner? 8 μC -5 µC AE. -4 µC E, E.In the early 1900's Robert Millikan discovered the peculiar property that charge came in little packets, no smaller than e = 1.602 x 10-19 C -- he had measured the charge of the electron. Here's (roughly) how he did it. He removed an electron from an initially neutral droplet of oil with diameter 0.5 ??μm. In a vacuum, he positioned the droplet between two metallic plates separated by 6 mm and fiddled with the potential (voltage) across the plates until the droplet would hover against the force of gravity. Droplets of this size with +e charge would hover, but only for a particular voltage (otherwise they would sink or rise). Given the parameters stated here, and the fact that the density of the oil was 831 kg/m3, what was the voltage that made the droplets hover? (give your answer with 0.1 V precision)
- Because the charges on the electron and proton have the same absolute value, atoms are electrically neutral. Suppose that this is not precisely true, and the absolute value of the charge of the electron is less than the charge of the proton by 0.00100%. Estimate what the net charge of this textbook would be under these circumstances. Make any assumptions you feel are justified, but state clearly what they are. (Hint: Most of the atoms in this textbook have equal numbers of electrons, protons, and neutrons.) What would be the magnitude of the electric force between two textbooks placed 5.0 m apart? Would this force be attractive or repulsive? Discuss how the fact that ordinary matter is stable shows that the absolute values of the charges on the electron and proton must be identical to a very high level of accuracy.electrons radius r Two protons (p) and two (e) are arranged on a circle of 5 [cm], with angles 0₁ = 20°, 0₂ = 60°, 03 = 20° and 04 = 60°, as shown in the figure. (qp = +1.6 x 10-19 [C] and qe = -1.6 × 10-19 [C]). The figure is not to scale. 04 y a. Find Enet, the net electric field vector produced at the center of the circle. Enet = ([ ])i + ( ]) Ĵ [N/C] b. Where on the circle should a fifth point charge qo be placed (give its angle relative the +x-axis) and what is its value (calculate qo) in order to have Ēnet (the net electric field at the center of the circle) equals zero (Type the detailed solution to this question in the below box, Show all your calculation steps by typing in the box). P XIn the Figure below a distribution of four point charges is given. It is also given that q1 d = 5 µm (1µm = 10-6 m). The constant e is equal to the fundamental charge in nature e = 1.6×10-19 C. Find the Ex 92 = 5e, q3 = 3e, q4 = -12e and the distance %3D [ Select ] * and Ey [Select ] components of the net Electric Field at the origin in N/C units. y 94 91=92=5e 93=3e 94=-12e d-5μm 93 d 92 d
- A test charge of +9 µC is placed halfway between a charge of +6 μC and another of +5 µC separated by 16 cm. (a) What is the magnitude of the force (in N) on the test charge? N (b) What is the direction of this force (away from or toward the +6 µC charge)? O away from the +6 µC charge toward the +6 μC chargeA nucleus of oxygen contains 8 protons. (a) Calculate the electric force it would exert on an electron situated at a distance of 60 pm (=60×10-12 m), and the acceleration with which the electron would move. (b) Since the nucleus of oxygen has radius 2.8 fm (= 2.8×10-15 m), calculate the average charge density associated with a nucleus of oxygen. You now pack 1012 nuclei of oxygen into a spherical volume of radius 1.0 m. (c) Calculate the electric field generated by such charge distribution at a distance of 2.0 m from the center. (d) Calculate the equivalent resistance and equivalent capacitance of the two circuits in Figure. If a resistance R = 1802 and capacitance C=2.1 uF are put in series with an inductance L= 0.05 H in an AC circuit, what would the resonance frequency be? 50_2 + ww 100.0 M 200 W 400 7002 3522 www www 4MF 4,µF 6 MF 12 MF 4 MF 4MF HHH HHH ZUF 102 502 wwww www 152Problem 12: The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against the gravitational force by a vertical electric field. microscope ©theexpertta.com Given that the oil drop is 0.85 µum in radius and has a density of 925 kg/m³, find the weight of the drop in N. W = sin() cos() tan() 7 8 9 HOME cotan() asin() acos() sinh() 4 5 6 atan() acotan() 1 2 3 cosh() tanh() cotanh() + - END ODegrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! If the drop has a single excess electron, find the electric field strength needed to balance its weight.
- The nucleus of a 125 Xe atom (an isotope of theelement xenon with mass 125 u) is 6.0 fm indiameter. It has 54 protons and charge q = +54eWhat is the electric force on a proton 1.3 fm from the surface of the nucleus? Hint: Treat the sphericalnucleus as a point charge.Express your answer with the appropriate units.F =SubmitPart BaμÀValueRequest AnswerSubmitWhat is the proton's acceleration?Express your answer to two significant figures and include the appropriate units.μÀValueRequest Answer1982UnitsUnits?Solar wind is a flow of heavily charged ions emanating from the Sun’s corona. Spectroscopic analysis suggests it contains a density of approximately 5.0 electrons per cubic centimeter (cm3). Given that the elementary charge ? ≈ 1.6 × 10−19 ? and using the combined average of your measured values of Q, determine the charge density of a cubic meter (m3) of solar wind sample as a function of Qwhere a charge of +3.00 × 10-9 C should be placed so that the net electrIE on it is zero. orce A charge 9, of –5.00 × 10-9 C and a charge g, of –2.00 × 10-³ C are separated by a distance of 40.0 cm. Find the equilibrium position for a third charge of +15.0 × 10-9 C. 3. An electron is released above Earth's surface. A second electron directly below olactron to cancel the