Dipole and work

How much work is done moving a unit positive charge form 1 point of a triangle to another in the field of a dipole p? The triangle has the angles 45,45,90 with a base of length a. The dipole is located at the right base corner pointing in the -x direction. The positive unit charge has to be moved from the left corner to the top corner of the triangle.

A beam of light

A beam of light of wavelength 550nm, traveling in air, is incident on a slab of transparent material. The incident beam makes an angle of 40 degrees with the normal, and the refracted beam makes an angle of 26 degrees with the normal. (a) Find the index of refraction on the material? (b) What is the wavelength of this light in the slab?

A electron is accelerated from rest

A electron is accelerated from rest by a potential difference of 350 V. It then enters a uniform magnetic field of magnitude 200 mT with its velocity perpendicular to the field. Calculate (a) the speed of the electron? (b) the radius of its path in the magnetic field?

The refraction of perpendicularly incident

The refraction of perpendicularly incident white light by a soap film in air has an interface maximum at 600nm and a minimum at 450nm, with no minimum in between. If n=1.33 for the film, what is the film thickness, assumed uniform?

A charge isolated metal aphere of diameter

A charge isolated metal sphere of diameter 10cm has a potential of 8000 V relative to V=0 at infinity. Calculate the energy density in the elecrtic field near the surface of the sphere?