y l l a (+q) l l -------l--------x l -a (+2q) l l Two point charges are fixed on the y-axis at the locations shown in the figure above. A charge of +q is located at y = a and a charge of +2q is located at y = -a. Express your answers to a an
See attached file for full problem description. 8. (a) Three charges are situated at the corners of a square (side a) as shown in Figure 2.41: (a) how much work does it take to bring in another charge, +q, from far away and place it in the fourth corner? (b) How much work does it take to assemble the whole configuration of
Electric field above surfaces. See attached file for full problem description. 1. find the electric field a distance z above one end of a straight line segment of length L, which carries a uniform line charge lamda. check that you formula is constistent with what you would expect for the case z >>L. 2. Find the electric fie
Hello, The problem states: V(x,y,z) = A(x^2 - 3y^2 + z^2) E(vector) = -2Ax, 6Ay, -2Az A = 640 the E field at a point (0,0, 0.250) = (0,0,-320) It says: In every plane parallel to the x-z plane, the equpotential contours are circles. What is the radius of the equipotential contour corresponding to V = 1280 V
A small sphere with mass 1.10 g hangs by a thread between two large parallel vertical plates 5.00 cm apart (see the diagram in the attached file). The plates are insulating and have uniform surface charge densities +σ and -σ. The charge on the sphere is q = 8.60 * 10-6 C. What potential difference between the plates
1. The drawing shows the potential at five points on a set of axes. Each of the four points is 7.0 x 10^-3 mt from the point of origin. From the data shown find the magnitude and the direction of electric field in the vicinity of origin. (See attached for diagram) 2. A 0.5 kg tumor is being irradiated by a radioactive sou
An electron is released from rest at the negative plate of a parallel plate capacitor. The charge per unit area on each plate is phi= 1.8 x 10 ^-7 C/m^2, and the plates are separated by a distance of 1.5 x 10^-2 m. How fast is the electron moving just before it reaches the positive plate?
An electrically neutral model airplane is flying in a horizontal circle on a 3.0-m guideline, which is nearly parallel to the ground. The line breaks when the kinetic energy of the plane is 50.0J. Reconsider the same situation, except that now there is a point charge of +q on the plane and a point charge -q at the other end of t
(See attached file for full problem description) (a) The arrangement of magnets attached is called a quadrupole. Sketch the magnetic field lines around the two magnets. At what point would the magnetic forces cancel out? (b) Sketch also the field lines in this arrangement and mark where the forces cancel out.
See attached file for full problem description.
Two parallel plates are .005m apart and are each 2m2 in area. The plates are in vacuum and an electric potential difference of 10,000V is applied across them. 1) Find the: a)capacitance, b)the charge on each plate c)the electric field intensity in the space between, and d) the stored energy. 2) If a dielectric mater
3. A uniformly charged hemispherical shell is rotating with angular speed w (omega) about its symmetry axis as shown. Use the Biot-Savart Law to find the magnetic field at the center of the sphere (point P). Begin by discussing the direction of B. See attached file for full problem description.
See attached file for proper format of formulas. 2. An infinite cylinder of radius a, with dielectric constant 0 has its axis along the z-axis. There is a uniform electric field 0 a large distance from the cylinder. (a) Find the electric field everywhere inside and outside the cylinder. (b) Find the bound charge densi
See attached file for full problem description. Three point charges are located along the circle of radius. Derive the expression for the electric field in the center.
See attached file for full problem description.
Suppose a plane electromagnetic wave has a wavelength of 50 m and the electric field vibrates with an amplitude of 22 V/m. Calculate the frequency of the wave, the amplitude of B. Write an expression for B in a the form B=Bo cos(kx-w(omega)t) with numerical values for B0, k, and w. See attachment for better formula representatio
In this problem i am not sure if you can just use the right hand screw rule The cube is 40 cm on each edge. Four straight segments of wire - ab, bc, cd, and da - form a closed loop that carries a current I = 5 A, in the direction shown. The loop is placed in a uniform magnetic field of magnitude B = 0.020 T in the positive y
Two protons are 3.6 nm apart. Find the magnitude of the electric field (a) 4.8 nm and (b) 200 nm to the right of the right-hand proton in the figure above. (c) Show that your answer to (b) in nearly equal to the field of a single charge 2e located midway between the two protons. (see attached diagram)
1) How would you arrange two flat circular coils so that their mutual inductance was a) greatest b) least (without separating them by a great distance)? 2) If you are given a wire of such length that you can make only two loops out of it, how would you shape this wire to obtain a) the greatest; b) the least self-inductance?
Suppose that a current-carrying ohmic metal wire has a cross-sectional area that gradually becomes smaller from one end of the wire to the other. How do drift velocity, current density, and electric field vary along the wire? Please explain with the help of equations to support explanation.
A point charge Q is located at the origin. Express the potential in both rectangular and cylindrical coordinates, and use the gradient operation in that coordinate system to find the electric field intensity. The result may be checked by conversion to spherical coordinates.
A long cylindrical beam (with circular cross section) of charged particles has velocity v in the axial direction. The beam has a uniform charge density p f (assume fixed). Find B inside and outside the beam as a function of distance from the axis, in terms of given quantities.
A solenoid that is 75 cm long produces a magnetic field of 2.1 T within its core when it carries a current of 6.8 A. How many turns of wire are contained in this solenoid?
Consider a grounded conducting cylinder of radius, a, in a uniform electric field, E0 in the x direction. Let the cylinder axis be the z-axis. Using the Laplace's equation solution in cylindrical coordinates, find the potential and the induced surface charge.
(See attached file for full problem description) --- Suppose we have a sphere of radius, a, centered on a dipole, p, at the origin. Integrate the energy density of the field outside the sphere, and show that U=p^2/(12 pi Eo a^3). ---
How far must the point charges q1 = +7.22 µC and q2 = -22.9 µC be separated in cm for the electric potential energy of the system to be -159 J?
A large conducting spherical shell of radius a, and fixed surface charge density (sigma), has a small circular hole in the surface of radius b<<a. [Note the cap of radius b is measured on the curved surface, not the chord, so that the angle subtended, alpha, at the center of the sphere from the center of the hole to the edge of
1) If the cathode and anode are 0.4cm apart calculate the electric field 2) What is the force on an electron in this field? 3) What is the acceleration of an electron in this field? 4) What is the velocity of this electron when it reaches the anode? 5) Are relativistic affects likely to make your calculation imprecis
(See attached file for full problem description) --- The transformation (see attached) transforms a circle with unit radius... ---
(Refer to attached picture file) A uniform B field of magnitude 0.0769 T is directed as shown in the diagram. A straight wire segment 15.0 cm long lies in the plane of the paper and carries a current of 28.7 A from the upper right to the lower left. a) On the diagram sketch the direction of the force on the wire. b) Find