An elctric dipole with dipole moment p= 29i + 36 j+37k is placed in an electric field E = 2i +1j+4k. Find the torque that the dipole will feel being in that electric field. r component of the torgue
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- Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N - m? /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, mẹ = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Battery Air Fuel A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant kchanges from a value of 1 when the tank is empty, to a value of 7, when the tank is fll. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air and fuel between the capacitor plates. The dimension of the fuel tank is width w = 19 cm, length L = 12 cm and breadth d = 18 cm. The height of the fuel between the plates is h = 7 cm. A battery with e.m.f of 17 v is connected across the plates. For gasoline, dielectric constant Kg You can ignore any fringing effects. a)…Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m? /c. Vacuum permitivity, én = 8.854 x 10 1? F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10 19 C. Mass of one electron, 7, = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Battery Air Fuel A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant Achanges from a value of 1 when the tank is empty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air and fuel between the capacitor plates. The dimension of the fuel tank is width w = 19 cm, length L = 12 cm and breadth d = 18 cm. The height of the fuel between the plates is h = 7 cm. A battery with e.m.f of 17 v is connected across the plates. For gasoline, dielectric constant K, You can ignore any fringing effects.…Use 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.…
- Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N. m² /Cvacuum permitivity, e = 8.854 x 10-12 F/ nMagnetic Permeability of vacuum, Ho = 12.566370614356 × 10-7 H/Magnitude of the Charge of one electron, e= -1.60217662 x 10-19 CMass of one electron, me = 9.10938356 x 10-31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µCmeans micro coulomb 2, Y a Corigin b Two charges g = –2 Cănd 2 = -5 Cáre positioned at different coordinates as shown in the figure. Coordinate of g charge is (6, a) and that of g charge is (-6, a) Find the net electric field at the origin in unit vector notation . Assume that a = 10 mand 6 = 2 m Here C'denotes coulombs and mdenotes meters. r component of the Electric field Give your answer up to at least three significance digits. N/C y component of the Electric field Give your answer up to at least three significance digits. N/CUse the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C?Vacuum permitivity, €o = 8.854 x 10-12 F/mMagnetic Permeability of vacuum, o = 12.566370614356 × 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 C. Mass of one electron, me = 9.10938356 x 10¬3' kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . Two long coaxial hollow cylinder of radius a = 2 mmand b = 20 mm with b > a with charge density) = 1 µC/mFind the magnitude of the Electric field at r = 5 mm Magnitude of the Electric field Give your answer up to at least three significance digits. N/C Find the absolute value of the potential difference between the cylinders Potential difference Give your answer up to at least three significance digits. Volts Find the capacitence of the system with length L = 17 m Capacitance Give your answer up to at least three significance digits. FUse the following constants if necessary. Coulomb constant, k= 8.987 x 10° N. m?/C2. Vacuum permitivity, q = 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. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. A charged particle with charge q= 55 µC' is moving with a speed of v = 15 x 105 m/s in a uniform magnetic field of B= 18 mT. The direction of the speed is perpendicular to the direction of the magnetic field. Mass of that particle is m = 70 x 10-6 kg. Calculate the radius of it's circular orbit and angular frequency. Radius of circular orbit R Give your answer up to at least three significance digits. m Angular frequency w Give your answer up to at least three significance digits. radian/sec
- 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. mUse the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m²/C² . Vacuum permitivity, €o = 8.854 × 10-12 F/m. Magnitude of the Charge of one electron, e = –1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 x 10¬31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb . Battery Air Fuel A fuel gauge uses a capacitor to determine the height of the fuel in a tank. The effective dielectric constant kchanges from a value of 1 when the tank is empty, to a value of 7, when the tank is full. The appropriate electronic circuitry can determine the effective dielectric constant of the combined air and fuel between the capacitor plates. The dimension of the fuel tank is width w = 19 cm, length L = 12 cm and breadth d = 18 cm. The height of the fuel between the plates is h = 7 cm. A battery with e.m.f of 12 v is connected across the plates. For gasoline, dielectric constant K, You can ignore any fringing effects.…Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C2. Vacuum permitivity, €0 = 8.854 x 1012 F/m. Magnitude of the charge of the electron, e = -1.60217662 x 10-19 C. Mass of the electron, me = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. +Y Coordinates of three charges in a 2D plane is given as follows: q1 = -44 µC at p1 = (-6, 11), q2 = -23 µC at P2 = (-9, –10) and q3 = -45 µC at p3 = (-20, 20). These coordinates are given in centimeters. a) Compute force on q2 due to q using the formula F12 = k2 f12- x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three significance digits. N b) Compute force on q2 due to q1 using the formula F12 = k12 F12. x component of the force Give your answer to at least three significance digits. N y component of the force Give your answer to at least three…
- Use the following constants if necessary. Coulomb constant, k=8.987×109N⋅m2/C2. Vacuum permitivity, ϵ0=8.854×10−12F/m. Magnitude of the Charge of one electron, e=−1.60217662×10^-19C. Mass of one electron, me=9.10938356×10−31kg. The gravitational acceleration near the surface of Earth g=9.8m/s2. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . 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 m1=m2=m and equal charge q1=q2=q. Assume that the charge of each sphere is q=36nC , the length of the thread is L=233cm and the horizontal separation is x=17cm. 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. (Hint: You may find it convenient to choose q1 or…Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /CVacuum permitivity, €, = 8.854 × 10¬12 F/mMagnetic Permeability of vacuum, un = 12.566370614356 × 10-7 H/Magnitude of the Charge of one electron, e = -1.60217662 × 10-19 OMass of one electron, me = 9.10938356 × 10¬31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, uC means тіcro coulomь In the figure the blue region represents a magnetic field B1 = 8.7 Tand the green region represents a magnetic field B2 = 7.9 T.A particle with charge q = 4.9 µG mass m = 0.035 granand velocity v = 30 m/travels toward the blue region as shown in the figure. a)What will be the shape of the path followed by the charge? Explain why this particular shape. b)Draw a schematic diagram to show the direction of the force for this system. c) Calculate the angular frequency of the particle when it is in the blue and when it is in the green region. What will happen to the angular frequency in the…Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅ m^2/C^2 . Vacuum permittivity, ϵ0 = 8.854×10^−12 F/m . Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C . Mass of one electron, me = 9.10938356×10^−31 kg . Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb . Solve a,b,c.