Physics Homework Solutions

Capacitor problem

A 6 microfarad capacitor is charged to an unknown potential Vo and then connected across an initially uncharged 13 microfarad capacitor. If the final potential difference across the 6 microfarad capacitor is 30 V, determine Vo. Answer in units of V

Parallel plates

When a certain air-filled parallel-plate capacitor is connected across a battery, it acquires a charge (on each plate) of magnitude 178 microcoulombs. While the battery connection is maintained, a dielectric slab is inserted into the space between the capacitor plates and completely fills the region. This results in the accumu ...continues

Coaxial cable

Neglect end effects. The region between the conductors is air. Ke =1/4*pi*epsilon= 8.98755e9 N m^2/C^2. A coaxial cable has a charged inner conductor (with charge +4.8 microcoulombs and radius 1.199 mm) and a surrounding oppisitely charged conductor (with charge -4.8 microcoulombs and radius 7.405 mm). a)What is the magni ...continues

Resistance of a stretched wire

A wire with resistance R is lengthened to 2.28 times its original length by pulling it through a small hole. What is the resistance of the wire after it is stretched in units of R.

Magnitude of electric field

Consider two concentric spherical shells, one with radius R, and with the radius 2R. Both have the same charge Q. At a point just inside the outershell, the magnitude of the electric field is A. 2kQ/R B. KQ/R C. KQ/2R D. 2kQ/R^2

Is the potential difference independent of its path

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:"

Polarization

Imagine that you have two identical neutral metal spheres on insulating stands and a charged rubber rod. Using diagrams, carefully describe a step by step process that uses the rod to give the two spheres exactly opposite charges (all without touching either sphere with rod). Take care to construct the procedure so that it ensu ...continues

Coaxial Cable

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 constant. These statements are appr ...continues

Capacitance

The electric field between two parallel plates with opposite, uniformly distributed charges is (as long as the plates are very large compared to their separation d) nearly uniform and has magnitude (see attachment). Use this result to verify the equation:

Physics

Draw a phasor diagram and find the maximum value

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