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    Electric & Magnetic Fields

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    Electric dipole of two opposite point charges

    An electric dipole is constructed out of two point charges of equal magnitude q and opposite signs, separated by a distance d, as shown in the attached diagram. Find the electric field at the point P. (the two charges are each a distance r from point P).

    Parallel plate capacitor: Physical arrangement of plates

    Imagine that you would like to design a parallel plate capacitor that could store 1 J of electrical energy in the electric field between its plates when connected to a 1.5 V battery. Imagine that you can arrange things so that the plates can be separated by a distance d as small as 0.5 mm. (Hint argue that the electric field st

    Physics: Draw the path of a proton; find the change in direction

    A proton enters a region where the electric field has a magnitude of 500 N/C and is produced by two charged plates. The length of the plates is .200M. The initial velocity is 3X10^6 m/s in the postive x direction. A) Draw the path of the proton. B) Find the change in the y direction of the proton.

    Working with parallel plate capacitor - charge density

    According to section E3.4, the electric field E between two parallel plates with opposite, uniformly distributed charges is ( as long as the plates are very large compared to their seperation d) nearly uniform and has magnitude E= 4(pi)k(sigma), where sigma is the charge per unit area on the plates. Use this result to verify th

    Calculate the capacitance of the coaxial cable arrangement for an electric field

    See attached file for clarity. The electric field outside a uniformly charged, infinite cylindrical conductor is the same as if the cylinder's charge were concentrated in a thin wire along the cylinders axis. Moreover, the potential inside a uniformly charged infinite cylindrical pipe like that inside a spherical shell is co

    potential difference independent of its path for a collection

    See attached file for the diagram. Use the idea that potential difference is independent of path to criticize the following statement: "It is possible to arrange a collection of charges in such a way that the electric field along a circular path looks like this:"

    Electric field vectors for two circular parallel plates

    See attached file for clarity. Consider two circular parallel plates of radius R separated by a distance d  R. Assume that these plates have uniformly distributed surface charges of Q and -Q. Electric field vectors in the region between the plates will all point perpendicular to the plates from the positive

    binomial approximation for a three dimensional potential field

    Consider a dipole consisting of two charged particles on the x axis, one with positive charge q+ located at x=+1/2d and one with negative q- charge located at x=-1/2d a) Derive an exact expression for the three dimensional potential field created by this dipole at a point P whose coordinates are {x, y, and z} b) Use the bi

    What is the potential energy of a 3.2 nC charge placed

    An infinite sheet of charge that has a surface charge density of 28 nC/m2 lies in the yz plane, passes through the origin, and is at a potential of 0.8 kV. A long wire having a linear charge density of 116 nC/m lies parallel to the y axis and intersects the x axis at 2m. What is the potential energy of a 3.2 nC charge place

    Electrostatic energy stored in the capacitor.

    (1) A parallel plate capacitor of plate area 2m2 and palte separation 5mm is charged to 10,000V in vacuum. Compute the capacitance, charge, charge density, field strength in the space between the plates and also the energy stored in the capacitor. (2) The charging battery is removed and the space between the plates is filled

    Plotting Current Density and Magnetic Field

    A long conducting circular cylindrical tube (circular cylinder inner radius a outer radius b) carries a total axial current Io distributed through the conductor. Find and sketch a plot as a function of radius (show work). A) The current density J(r) B) The magnetic field B(r)

    Electric and potential fields...(solid conducting core)

    Consider a concentric spherical system made up of the following parts: A solid conducting core radius a with total charge Qc , surrounded by a conducting shell of inner radius b and outer radius c. The shell has total charge -Qc . For each of the appropriate regions, find Qenclosed , E and V. Make the appropriate set of gr

    Compute the direction and magnitude of the electric field.

    In Figure A1 in the attachment, the boundary between two ideal dielectrics is shown. Near the boundary, on Er1 side, the electric field is measured and found to be perpendicular to the boundary and equal to 100 V/m. a) What is the direction of the electric field E, near that boundary and on Er2 side? b) What is the magnitu

    Application of Biot Sarvat's Law.

    Determine the magnitude and direction of the magnetic field at the origin in the case of two current loops as shown in the figures. See attached file for full problem description.

    Surface charges and eletric fields in a spherical conductor.

    Consider a spherical conductor of radius R. Inside of it are two spherical cavities A and B, with radii a and b, respectively. Each cavity contains a point charge qa and qb, respectively. Find the surface charges for all three surfaces (R, the outer surfaces of the conductor, and the surfaces of the inner cavities A and B) and t