LSM 1 A point charge Q-10 mC is located at I m from a grounded conducting...
6.65 A 10-nC point charge is located at point (0, 0, 10 m) above a grounded conducting plane z 0. (a) Find the surface charge density at point (2, -4,0). (b) Calculate the total charge on the plate
4. Two charges are located above a grounded conducting plane defined by 0: a charge q at r 0.0 d) and a charge-21 at r= (d, d, d) . Find the force on the first charge.
Consider a charge Q located a distance D>R away from a grounded conducting sphere, where R is the radius of the sphere. Using the method of images, calculate the magnitude and position of the associated image charge. Determine the induced surface charge density of the sphere. .
A charge q is positioned at point (0,0,d) above a grounded conducting plate (V=0 on the plate). Use the method of images (see lecture notes) to find the electric field on the plate. Since the electric field inside the conductor is zero (charges are not moving), use Gauss’s Law to find the surface charge density σ(r) on the plate and show that the total charge on the plate is –q.
Five point charges are located on the y-axis. Two are positive with charge q = 0.54 mC and three are negative with charge q = -0.54 mC. The positive charges are a =4.5 m away from the origin, one on each side of it. Two of the negative charges are 2a away from the origin, one on each side of it. A negative charge sits at the origin. A positive point charge with charge Q= 6 mC is positioned on...
A positive point charge Q is located in free-space at the center of a spherical conducting shell The conducting shell consists of two concentric spheres, with inner radius a and an outer radius b (b> a), shaded region as shown in figure below. a) (15 points) Determine electric flux density everywhere. b) (5 points) Determine electric potential at the inner radius of the conducting shell c) (5 points) What is the total charge at the inner surface at r=a? justify...
A point charge q is located at distances a and b from two perpendicular conducting half-planes, both at zero potential. Calculate the force acting on the charge q.
A point charge q is located a distance r from the center of a conducting shell with inner radius R1 and outer radius R2. What is the electric potential at the center of the shell, assuming r <R1? Question 7 A point charge q is located a distance r from the center of a conducting shell with inner radius R1 and outer radius R2. What is the electric potential at the center of the shell, assuming r< R1? Select the...
2. A point charge q sits at the origin and a point charge 4q is located at (r, y, z) (d, d,-d), where d is some arbitrary unit of length. Determine the location (not infinitely far away) at which the electric field vanishes. 3. Three point charges q, 24, and -3q are placed at the corners of an equilateral triangle of side length L as shown in the figure below: 2q 3q a) What is the total force on the...
15. A point charge Q is located a short distance from a point charge 3Q, and no other charges or electric fields are present. If the magnitude of the electric force on Q is F, what is the electric force on 3Q? 16) the figure below shows two unequal point charges, q and Q, of opposite sign. Charge Q has greater magnitude than charge q. In which of the regions X, Y, Z will there be a point at which...