Three small charged particles are placed on the same vertical line. The charge on the first particle is +5.6 nC. The second particle with a charge of -8.0 nC is 5.0 cm below the first particle. The third particle is 9.0 cm above the first particle. Determine the charge of the third particle, if the electric field is zero 5.0 cm above the first particle on the vertical line. Express your answer with the appropriate units. q= μА Value Units ?
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- Panicle A of charge 3.00 104 C is at the origin, particle B of charge 6.00 104 C is at (4.00 m, 0), and panicle C of charge 1.00 104 C is at (0, 3.00 m). (a) What is the x-component of the electric force exerted by A on C? (b) What is the y-component of the force exerted by A on C? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x-component of the force exerted by B on C. (e) Calculate the y-component of the force exerted by B on C. (f) Sum the two x-components to obtain the resultant x-component of the electric force acting on C. (g) Repeat part (f) for the y-component. (h) Find the magnitude and direction of the resultant electric force acting on C.Two point charges lie on the xxx axis. A charge of 6.0 μCμC is at the origin, and a charge of -9.3 μCμC is at x=10.0cm. 1. What is the net electric field at x=−4.0cm? Express your answer using two significant figures. 2. What is the net electric field at x=+4.0cm? Express your answer using two significant figures.Four identical charged particles (q = +10.2 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 55.2 cm and W = 15.1 cm. a. Calculate the magnitude of the total electric force exerted on the charge at the lower left corner by the other three charges. (N)
- Four point charges of equal magnitude Q = 75 nC are placed on the corners of a rectangle of sides D1 = 29 cm and D2 = 5 cm. The charges on the left side of the rectangle are positive while the charges on the right side of the rectangle are negative. Use a coordinate system where the positive y direction is up and the positive x direction is to the right. 1. Calculate the horizontal component of the net force, in newtons, on the charge which lies at the lower left corner of the rectangle. 2. Calculate the vertical component of the net force, in newtons, on the charge which lies at the lower left corner of the rectangle. 3. Calculate the magnitude of the net force, in newtons, on the charge located at the lower left corner of the rectangle. 4. Calculate the angle of the net force vector relative to the +x axis, with the positive direction being counterclockwise from the positive horizontal axis. Enter an angle between -180° and 180°.Two charges +2 μC and +7 μC are placed along the xx axis, with the first charge at the origin (x=0) and the second charge at x=+1. Find the magnitude and direction of the net force on a -10 nC charge when placed at the following locations below. a. halfway between the two charges:What is the magnitude of the force (in mN) and its direction (in -x or +x direction)? b. on the x axis at x=-0.5 m: What is the magnitude of the force (in mN) and its direction(in -x or +x direction)? c. at the coordinate (x,y)=(1 m,0.5 m) (half a meter above the +7 μC charge in a direction perpendicular to the line joining the two fixed charges): What is the magnitude of force (in mN) and the direction (in degrees) below -x axisThree point charges are located at the corners of an equilateral triangle, as shown. The lowerright charge has a value of -4.82μC.a. Calculate the electric field at a point P located midway between the two charges on the xaxis.b. If a charge of 1 μC is placed at P, determine the force (direction and magnitude) acting onthis particle?
- 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.The electric field midway between two equal but opposite point charges is 936 N/C , and the distance between the charges is 29.0 cm . What is the magnitude of the charge on each? Express your answer to three significant figures and include the appropriate units.A 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, RD
- Charges q1, 92 and 93 are arranged in the x-axis. Charge q3 = 14 nC and is at the origin. Charge q2 = 3.8 nC and is at x = 9 cm. Charge q1 is at x = 5 cm. Solve for q1 (magnitude and sign) if the net force on q3 is zero. Express your answer in nC.Two-point charges lie on the x-axis. A charge of 6.4 μC is at the origin, and a charge of -9.3 μC is at x=10.0cm A) What is the net electric field at x=−4.0cm? Express your answer using two significant figures. B) What is the net electric field at x=+4.0cm? Express your answer using two significant figures.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. N