In the figure particle 1 of charge +q and particle 2 of charge +9q are held at separation L = 10.1 cm on an x axis. If particle 3 of charge q3 is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio q3/q? X (a) Number i 1.35 Units cm (b) Number 0 Units cm (c) Number i 1.00 Units No units
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- Four equally charged particles with charge q are placed at the comers of a square with side length L, as shown in Figure P23.51. A fifth charged particle with charge Q is placed at the center of the square so that the entire system of charges is in static equilibrium. What are the magnitude and sign of the charge Q? Figure P23.51A charged metal sphere of radius Rs and a charged, flat metal disk of radius Rp are connected by a long conducting wire. The sphere has a charge Qs (assume it is uniformly distributed on its surface). What is Qp, the charge on the disk (assume it is uniformly distributed on its surface)? Give your answer in nC to at least three digits to avoid being counted off due to rounding. Rs = 0.40 m, Rp = 0.33 m, Qs = 29.3 nC Sphere Qs, Rs 2D Disk QD, RDA rod of length L lies along the x axis with its left end at the origin. It has a nonuniform charge density ? = ?x, where ? is a positive constant. A rod of length L lies along the x-axis of the x y coordinate plane with its left end at the origin. Point A is on the x-axis a distance d to the left of the origin. Point B lies in the first quadrant, a distance babove the center of the rod. (a) What are the units of ?? (Use SI unit abbreviations as necessary.)[?] = (b) Calculate the electric potential at A. (Use any variable or symbol stated above along with the following as necessary: ke.)V =
- In the figure particle 1 of charge +q and particle 2 of charge +4q are held at separation L = 10.0 cm on an x axis. If particle 3 of charge 93 is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio q3/q? %3D (a) Number Units (b) Number Units (c) Number Units > >A line of positive charge is formed into a semicircle of radius R = 25 cm, as shown in figure. The charge per unit length along the semicircle is described by the expression A = Ao cos 0. The total charge on the semicircle is 10 uC. R. Find the value of constant Ao.In the figure particle 1 of charge +q and particle 2 of charge +4q are held at separation L = 5.92 cm on an x axis. If particle 3 of charge 93 is to be located such that the three particles remain in place when released, what must be the (a) x and (b) y coordinates of particle 3 and (c) the ratio 93/q? x
- Four identical charged particles (g = +10.2 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 65.4 cm and W = 15.1 cm. W L (a) Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. 42.70 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. NTwo small charged spheres are placed in vacuum on the x-axis: Q1= +5.0 μC at x= 0 andQ2= −8.0 μC at x= 50 cm. A third charge is placed at x = bcm such that the net force itexperiencesdue to Q1, and Q2is zero. What is the value of b?Draw a sketch of the problem and label appropriately.Problem 6: A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.4 μC. A second uncharged conducting sphere of radius r2 = 0.42 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. What is the total charge on sphere two, Q2 In coulombs
- Problem 5: A thin rod of length L = 1.9 m lies along the positive y-axis with one end at the origin. The rod carries a uniformly distributed charge of Q1 = 5.2 µC. A point charge Q2 = 10.4 uC is located on the positive x-axis a distance a = 0.45 m from the origin. Refer to the figure. dy y X a Part (a) Consider a thin slice of the rod of thickness dy located a distance y away from the origin. What is the direction of the force on the point charge due to the charge on this thin slice? MultipleChoice : 1) Along the positive x-axis 2) Above the negative x-axis 3) Below the positive x-axis 4) Not enough information to determine 5) There is no force between the point charge and the slice of the rod 6) Above the positive x-axis 7) Below the negative x-axis Part (b) Choose the correct equation for x-component of the force, dFx, on the point charge due to the thin slice of the rod. SchematicChoice : kQ1Q2ady Q1Q2ady kQ,Q2ady dF dF, = L(a² + y²) dFx 3 3 L(a² + y²)ž L(a² + y²)ž kQ1Q2ydy kQ,Qzydy…Two small charged spheres are placed in vacuum on the x-axis: q, = +5.0 µC at x = 0 and q2 = -8.0 µC at x = 50 cm. A third charge is placed at x = a cm such that the net force it | experiences due to q, and q2 is zero. What is the value of a? Draw a sketch of the problem and label appropriately.A horizontal wire 3m long has a nonuniform charge per unit length, i.e. = + (0.6x) C/m where x is the distance measured from the left end of the wire. A point P is 1m to the right of the right end of the wire. Find the magnitude and direction of the force experienced by the electron placed at the point P.