2) In the figure below: a = 0.003m, b 0.004m, Q1 0.06 µC, Q2 0.08 %3D µC, and q = 0.032 uC, Determine the resultant Coulomb force F on q? %3D k=9x10^9 S.I * Q2 O 2.2 N O 1.6 N 1.9 N 0.040 N 1.3 N
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- b. Determine the electrostatic force using the Coulomb's Law equation and Coulomb's Electrostatic Force Calculator. Step 1: List all the measurements given: Q=2µC ,Q=4 µC , d = 3cm, k=9.0x 10°NM/C² %3D Step 2: Substitute : Fe =( 9.0x 10°NM/C? )(2µC)(4 µC) / (3cm)? elect Step 3: Use Coulomb's Electrostatic Force Calculator. To get the final answer F elect C. If the 4 uC charge were doubled and the distance between the charges was doubled , did the electrostatic increase or decrease. Justify your answer.Determine the charge stored by Cl when Cl = 20 uF, C2 = 10 uF, C3 = 30 µF, and VO = 18 V. %3D H Select one: a. 0.32 mC b. 0.37 mC C. 0.24 mC d. 0.50 mC e. 0.40 mC1. Adjust the voltage to 0.05x V and adjust the plate area to 10y mm² and the separation distance to 0.2z mm. What is the magnitude of the charge (in Coulombs) stored in each plates for x= −27, y= 21, and z= 39? 2. Adjust the voltage to 0.05x V and adjust the plate area to 10y mm² and the separation distance to 0.2z mm. What is the magnitude of the Potential Energy in Joules in capacitor for x= -8 and y= 10? 3. Adjust the voltage to 0.05x V and adjust the plate area to 10y mm² and the separation distance to 0.2z mm. What is the magnitude of the charge stored in each plates for x= −25 and y= 14?
- Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C. Vacuum permitivity, eo = 8.854 x 10 12 F/m. Magnitude of the Charge of one electron, e =-1.60217662 x 10-19 C. Mass of one electron, m, = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Y R. Suppose you have 5 point charges q to q, distributed along a semi-circle maintaining equal distance. The charge q6 is on the center of the circle which is also the origin of given coordinate system. The radius of the semi-circle is R = 34 cm and the magnitude of the charges are as follows : 91 = = 19 µC, q2 = q4 = 32 µC and q = q6 = -25 µC. a) Find the vector that points from q to g6 and call it F1,6- b) Calculate the coulomb force on g6 due to q in unit vector notation and call it F16 c) Find the vector that points from q3 to g6 and call it F3,6- d) Calculate the coulomb force on q6 due to g in unit vector notation and call it F36. e)…Conversion Watt 312 cal/s 0.5 W/cm? cal/cm's .. W/m 10'ergs/cm sC C ... 5W/50*10 cm? ergs/cm's .. .. . Coulomb 0.88 e.m.u 10 Wb/107 cm? .. .. gauss3. We can estimate the dipole moment of a strongly polar diatomic molecule by saying the charges are te (where e = 1.6 x 10-19 C) and the spacing is about one atom width say 2x10-10 m. How large a derivative of E (dE/dx) is necessary to overcome gravity for this dipole? Say that the molecular weight of such a molecule is 18 (like water is). This makes the mass of this 18 times the proton mass, roughly. Is this dE/dx easily made in the laboratory? Explain
- 04 Two very small spheres are initially neutral and separated by a distance of $6 cm. Suppose that 310¹1 electrons are removed from one sphere and placed on the other. (a) What is the magnitude of the electrostatic force that acts on cach sphere? (b) is the force attractive or repulsive? Why?1) Consider the figure below. An electron is fired towards a conducting plate from a distance L. The plate has a surface charge density a and a radius that is much greater than the distance L.. When the electron strikes the plate, it is measured that AK. E. 10 eV, where AK. E. Ty-To is the difference between the electron's final kinetic energy and initial kinetic energy. = a) Draw a diagram of the configuration including the co-ordinate system you have chosen. b) Write the integral equation for the work done on the electron when moving from it's initial position to an arbitrary final position, x . c) Write the integral equation for the potential difference of the system for a path that begins at the electron's initial position and ends at an arbitrary position, x. d) Determine the equation for the potential difference between the initial position of the electron and an arbitrary position, x. e) Plot the potential difference from part d) f) If the electron is initially at rest and L=…Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m²/C². Vacuum permitivity, eo = 8.854 × 10¬12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19C. Mass of one electron, me = 9.10938356 × 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Consider two charges q1 = -27 e and q2 = -18 e at positions (31, 20, –50) and (- 45 -25 37) respectively where all the coordinates are measured ). - in the scale of 10–9 'm or nano meters. If position vector of the charge qi is r and charge q2 is r2. a) Find the relative position vector that points from charge q1 to charge q2. x component Give your answer to at least three significance digits. m y component Give your answer to at least three significance digits. m z component Give your answer to at least three significance digits. m
- Two electrons in an atom are separated by 1.6 × 10-10 m, the typical size of an atom. What is the force between them? Coulomb constant is 9 × 10⁹ Nm²/C². Answer in units of N. The T 06Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m?/C2. Vacuum permitivity, en = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, me = 9,10938356 x 10-31 kg. The gravitational acceleration near the surface of Earth g = 9.8 m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . ceiling 92 step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting threads of equal length as shown in the figure. Both the spheres have equal mass m = m2 = m and equal charge g = 2 = q. Assume that the charge of each sphere is q = 36 nC, the length of the thread is L = 228 cm and the horizontal separation is z = 20 cm. You must draw the figure properly in your pdf. The x and y directions are shown in the figure. You have the liberty to choose any point as the origin of your coordinate system.…9. The permanent electric dipole moment of the water molecule (H₂O) is 6.2 × 10-30 C.m. What is the maximum possible torque of a water molecule in a do- mestic microwave oven with 121.3 V/m electric field? 8 H 104.5⁰ 8+