Problem 7.1 | Electrodynamics | Griffith | 3rd ed
Problem 7.1
A capacitor C has been charged up to potential ?_0; at time ?=0 it is connected to a resistor R, and begins to discharge (Fig. a).
00:07 (a) Determine the charge on the capacitor as a function of time, ?(?). What is the current through the resistor, ?(?)?
03:37 (b) What was the original energy stored in the capacitor? By integrating Eq. ?=?^2 ?, confirm that the heat delivered to the resistor is equal to the energy lost by the capacitor.
Now imagine charging up the capacitor, by connecting it (and the resistor) to a battery of fixed voltage ?_a, at time ?=0 (Fig. b).
05:15 (c) Again, determine ?(?) and ?(?).
07:28 (d) Find the total energy output of the battery (∫▒〖?_? ???〗). Determine the heat delivered to the resistor. What is the final energy stored in the capacitor? What fraction of the work done by the battery shows up as energy in the capacitor? [Notice that the answer is independent of R!]
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Problem 1.69 IE IRODOV
Problem 1.69
A bar of mass m resting on a smooth horizontal plane starts moving due to the force ?=??/3 of constant magnitude. In the process of its rectilinear motion the angle ? between the direction of this force and the horizontal varies ?=??, where ? is a constant, and ? is the distance traversed by the bar from its initial position. Find the velocity of the bar as a function of the angle ?.
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Summary of Gauss’s Law
In this lecture, I have explained Summary of Gauss’s Law.
Concept of Gauss’s Law and Electric Flux,
Application of Gauss’s Law,
Electric field inside and outside a Charged Conductor,
Electric Field due to a Uniformly Charged Sphere,
Electric Field due to Long Uniform Line Charge,
Electric Field due to a plane sheet of charge,
Electric Field near a Charged Conducting Surface,
Electric Potential Energy of a Uniformly Charged Sphere,
Electric Potential Energy of a Uniformly charged Thin Spherical Shell,
Earthing a Conductor,
Happy learning!
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What is Physics, Physics & Mathematics
Introduction to Physics
What is Physics?
Field of physics
Branches of Physics
Physics and Mathematics
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Loss of Energy During Redistribution of Charges
Try this question using this video:
Two capacitors C1 and C2 (where C1 greater than C2) are charged to the same initial potential difference. The charged capacitors are removed from the battery and their plates are connected as shown in Fig. (a). The switches S1 and S2 are then closed, as shown in Fig. (b ).
a. Find the final potential difference between a and b after the switches are closed.
b. Find the total energy stored in the capacitors before and after the switches are closed and the ratio of the final energy to the initial energy.
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