(1) Suppose there is a particle with charge Q₁ = 6 x 10-7 C located at (2,-1) and another with charge Q₂ = -3 x 10-6 located at (0,1). (a) Calculate the electric field caused by particle 1 at the point (0,0). (b) Calculate the electric field caused by particle 2 at the same point, (0,0). (c) If we place a particle with charge q = 3 × 10-8 C at (0,0), what force will it experience?
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- A point particle of charge 2.7 nC and mass 4.2 x 10-3 kg is in uniform electric field directed to the right. It is released from rest and moves to the right. After it has travelled 12.0 cm, its speed is 25 m/s. Find the magnitude of the electric field.(b) How can you calculate electric force on any charge? Which point in Fig. 1 gives the strongest electric field? Explain the reason. (c) In Fig. 2, four particles are fixed in place with charges of q1=q2= - 5e, q3=+6e, q4=8e separated from each other with a d=10mm. What is the magnitude of the net electric field at point P due to all charged particles? Use the magnitude of electron's charge as the value of e. 91 Figure 2 Figure 1A unitary charge "q" is located at the distance d=10 cm from the center of a very thin line of length I=20 cm. The charge density is λ=40 pC/m and it's through the x axis with its center at the origin 0 Find the change in the electric force on the charge "q", if the filament is folded in two equal parts, keeping the center of the resulting filament at the origin 0 and along the x-axis
- A particle charges with three points of ?1 = 3.2 × 10 C, ?2 = 2.5 × 10 C and ?3 = 4.6 × 10C, are located in free space of Mars at points with Cartesian coordinates (2, 3, 1), (−3, 2, −1) and (1, 2, 3), respectively. Calculate:(a) The electric field, ? at (3.5, 2.4, 1.0)(b) The force on a 6 × 10C charge located at (3.0, 2.8, 1.5)Four electric charges of strength Q, Q,–Q and–Q are placed respectively at the points (-b, 0), (b,0), (0, – a) and (0, a) on the xy-plane. At a distance d very far away from these charges (d>> a, b), the electric field will appear to be approximately that of (a) a point charge (c) a quadrupole [JNU 2009] (b) a dipole (d) a mixture ofa dipole and a quadrupole(c) d) 2R R. R. R. Two uniform line charges of = 4n C/m each are parallel to the z-axis at (0, 4)m and (0, -4)m. Magnitude of electric field at points (+4, 0, 0) is (a) 9 V/m (b) 18 V/m C4.5 V/m (d) 9/2 V/m
- Two horizontal parallel plates are separated by a distance of 174 mm creating an electric field of 23 μN/C directed north. An electron is place halfway between the two plates with and fired with initial velocity 58 m/s from the horizontal. Calculate the time it takes for the electron to land at the positive plate and its speed before hitting the plate. Provide a Free-body diagram and answer in GRESA format.Four charged particles are at the corners of a square let q1 =2q, q2 = q, q3 = 3q and q4 = 4q.(a) Determine the electric field at the location of 4. (b) Determine the force at location 4 if q= 6 μC.Supposeq1 = +2.90 mC is no longer at the origin, but is now on the y axisbetween y = 0 and y = 0.500 m. The charge q2 = +2.90 mC is atx = 0 and y = 0.500 m, and point 3 is at x = y = 0.500 m. (a)Is the magnitude of the net electric field at point 3, which wecall Enet, greater than, less than, or equal to its previous value?Explain. (b) Is the angle u that Enet makes with the x axis greaterthan, less than, or equal to its previous value? Explain. Find thenew values of (c) Enet and (d) u if q1 is at y = 0.250 m
- A uniform electric field exists in the region between two opposite charge plates. An electron is realesed from rest at the surface of negatively charge plate, 0,02m away from first plate in the time interval of 1.4 x 10^-8 s. Fi d the electric field E between the plates.What is the acceleration of the electron due to electric field if an electron, initially at rest is placed in an electric field of 4.5 x 103 N/C directed to west.