Force on moving charges: A charge is accelerated from rest t…
Force on moving charges: A charge is accelerated from rest through a potential difference V and then enters a uniform magnetic field oriented perpendicular to its path. The field deflects the particle into a circular arc of radius R. If the accelerating potential is tripled to 3V, what will be the radius of the circular arc?
Read DetailsSpheres of charge: A conducting sphere is charged up such th…
Spheres of charge: A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity). If the sphere’s radius were twice as large, but the charge on the sphere were the same, what would be the potential on the surface relative to infinity?
Read DetailsRefraction at a curved surface: A fisherman in a stream 39 c…
Refraction at a curved surface: A fisherman in a stream 39 cm deep looks downward into the water and sees a rock on the stream bed. How deep does the stream appear to the fisherman? The index of refraction of the water is 1.33.
Read DetailsThin lenses: An optical system comprises in turn, from left…
Thin lenses: An optical system comprises in turn, from left to right: an observer, a lens of focal length +30 cm, an erect object 20 mm high, and a convex mirror of radius 80 cm. The object is between the lens and the mirror, 20 cm from the lens and 50 cm from the mirror. The observer views the image that is formed first by reflection and then by refraction. What is the position of the final image, measured from the mirror?
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