Three point charge q1,q2 and q3 are shown in figure (This figure is not drawn to scale). Does it form a dipole? If it does then find the dipole moment. Use the following data: Value of q1=25nC and coordinate is (27,−31), Value of q2=25nC and coordinate is (40,−34), Value of q3=−50nC and coordinate is (−60,25). These coordinates are given in nano meters and 1nC means 1.0 nano coulomb charge. a) The dipole moment of the given system x component of the dipole moment y component of the dipole moment

Determine the total potential energy stored, in microjoules, in a sphere of radius 9 m if the electric field inside is given as E = 16 aρ + 15 aϕ + 18 az V/m. Use the permittivity of free space as 8.854 × 10-12 F/m.

1. An electron initially moves in a horizontal direction and has a kinetic energy of 2 × 103 eV (electron- volts) when it enters to the electric field E as shown in the figure. It passes through a uniform electric field between two oppositely charged vertical plates to a field-free region with a velocity 2.8 x 10'm/s. The plates are separated from each other by a distance of 0.04 meter. Gravity is negligible. 0.04m Electron Calculate electric field and find its direction: L me = 9.11 x 10-31kg; qe = -1.6 × 10-1ºC; 1eV = 1.6 x 10¬19] Hint: 1 Kinetic energy = qE mv²; Potential energy = d Use conservation of energy. (A)5800 V/m; directed from R to L (B) 5800 V/m; directed from L to R (C) 6750 V/m; directed from R to L (D)6750 V/m; directed L from to R (E) None of them

A molecule of DNA (deoxyribonucleic acid) is 2.08 um long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 0.81% upon becoming charged. Determine the effective spring constant of the molecule. N/m

23.38   BIO Electrical Sensitivity of Sharks.   Certain sharks can detect an electric field as weak as 1.0 µV/m. To grasp how weak this field is, if you wanted to produce it between two parallel metal plates by connecting an ordinary 1.5-V AA battery across these plates, how far apart would the plates have to be?

Calculate the work required to bring a charge of 5.9×10−95.9×10−9 C from infinity to a point 28.7 cm from a charge of 0.0390.039 μμC in vacuum. Use the value of Coulomb's constant ke=14πε0=9×109ke=14πε0=9×109 m/F. Provide your answer in units of 10−610−6 J: for example, if your answer is 3.6×10−63.6×10−6, then enter 3.6 as your answer.

An engineer is designing a process for a new transistor. She uses a vacuum chamber to bombard a thin layer of silicon with ions of phosphorus, each of mass mp = 5.18 × 10-26 kg. The phosphorus ions are doubly ionized, with each phosphorus ion lacking two electrons. The ions start at rest at one end of the vacuum chamber and are accelerated by an electric field over a distance of re = 45 cm before they strike the silicon layer with velocity vp = 105 m/s. What is an expression for the potential difference AV, in volts, between the initial and final points across the vacuum chamber.

Consider a polar molecule such as water, which has an electrical dipole moment of 6×10-30 Cm. Suppose we place such a molecule in an external electric field of 3.5×10-6 N/C. What is the difference in potential energy between the dipole moment being parallel to and anti-parallel to the electric field?

An engineer is designing a process for a new transistor. She uses a vacuum chamber to bombard a thin layer of silicon with ions of phosphorus, each of mass mP = 5.18 × 10-26 kg. The phosphorus ions are doubly ionized, with each phosphorus ion lacking two electrons. The ions start at rest at one end of the vacuum chamber and are accelerated by an electric field over a distance of re = 59 cm before they strike the silicon layer with velocity vP = 185 m/s. a.   Enter an expression for the potential difference ΔV, in volts, between the initial and final points across the vacuum chamber.  (b)  Calculate the average electric field strength E, in volts per meters, across the vacuum chamber.   c.  Calculate the average electric force F, in newtons, that the electric field exerts on each phosphorus ions.

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