A small object with mass m, charge q, and initial speed v0 = 4.00×103 m/s is projected into a uniform electric field between two parallel metal plates of length 26.0 cm (Figure 1). The electric field between the plates is directed downward and has magnitude E = 800 N/C. Assume that the field is zero outside the region between the plates. The separation between the plates is large enough for the object to pass between the plates without hitting the lower plate. After passing through the field region, the object is deflected downward a vertical distance d = 1.25 cm from its original direction of motion and reaches a collecting plate that is 56.0 cm from the edge of the parallel plates. Ignore gravity and air resistance. Part A Calculate the object's charge-to-mass ratio, q/m. Express your answer in coulombs per kilogram. Submit Previous Answers Request Answer
A disk of radius R produces a potential V = 84.4 mV at the center of the disk at point P. The charge density of the disk varies linearly with the radius according to σ = Ar, where A = 6.55×10−10 C/m3 Calculate the radius R of the disk in centimeters. R = cm
Two capacitors, C1 = 5.75 μF and C2 = 13.5 μF, are connected in parallel, and the resulting combination is connected to a 9.00−V battery. (a) Find the equivalent capacitance of the combination. μF (b) Find the potential difference across each capacitor. v1 = V v2 = V (c) Find the charge stored on each capacitor. Q1 = μC Q2 = μC
A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A, (b) segment B, and (c) segment C? Express your answers in km/h.
Charge Q = 25 μC is uniformly distributed along a thin, flexible rod that is bent into a quarter-circle of radius R = 0.6 m, as shown in the figure. Measured in V/m, what is the electric field at the origin (in component form)? E⇀ = i^ + j^ (Hint: A small piece of arc length Δs spans a small angle Δθ = Δs/R, where R is the radius.)
A stretched string fixed at each end has a mass of 31.0 g and a length of 7.60 m. The tension in the string is 55.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (Enter your answers from smallest to largest distance from one end of the string.) nodes: m m m m antinodes: m m m (b) What is the vibration frequency for this harmonic? Hz
The figure shows four identical conducting spheres that are actually well separated from one another. Sphere W (with an initial charge of zero) is touched to sphere A and then they are separated. Next, sphere W is touched to sphere B (with an initial charge of −26e) and then they are separated. Finally, sphere W is touched to sphere C (with an initial charge of 50e), and then they are separated. The final charge on sphere W is 20e. What multiple of e gives the initial charge on sphere A? A B C W Number Units
In the figure below, suppose the charge q2 can be moved left or right from its shown location, along the line connecting the charges q1 and q3, rather than sitting at a distance d from each. You will find where it experiences a net electric force of zero. (The charges q1 and q3 remain separated by a fixed distance of 2d = 34 cm.) (Note that all charges are expressed in terms of the common multiple "q".) a.) Concept: Where will q2 experience a net electric force of zero? b.) Calculate: Find the exact distance where this occurs. cm, away from q1.
A charge of −3.6×10−9 C is at the origin and a charge of 9.1×10−9 C is on the x -axis at x = 3 m. At what two locations on the x -axis (xpositive, xnegative ) is the potential zero? xpositive = m Enter xnegative = m Help Reset Enter
In the figure the four particles form a square of edge length a = 6.90 cm and have charges q1 = 10.3 nC, q2 = −21.3 nC, q3 = 21.3 nC, and q4 = −10.3 nC. What is the magnitude of the net electric field produced by the particles at the square's center? Number Units
Three point-like charges: q1 = 7.5 μC, q2 = 2.8 μC and q3 = −9.3 μC, are positioned at the corners of an equilateral triangle with side length L = 3 cm shown in the figure Find electrostatic forces F1, F2 and F3 exerted on each of the respective charges in terms of their components with respect to shown axes: F1x = N, F2x = N. F1y = N, F2y = N. F3x = N, F3y = N. Check if your numerical results (at least approximately) agree with the statement that the total force F = F1+F2+F3 exerted on this whole system must be zero.