Plotting the wave forms of i(t), Vo(t) and Vi(t) when given charge vs time graph

Thread Starter

jamescolt

Joined Sep 19, 2010
3

Georacer

Joined Nov 25, 2009
5,182
In your circuit, a great length of wire is depicted. Does the problem state its resistivity (specific electrical resistance)?

P.S. Please use the built-in picture attach tool that the forum provides. It gives better accessibility to the images.
 

Thread Starter

jamescolt

Joined Sep 19, 2010
3
Oh yes there is, I forgot to add the info.

In Figure 1, the voltage vi(t) is transferred to the load through a 100-ft copper transmission line. The diameter of the transmission line is 0.032 cm and its resistivity at 20 ⁰C is 1.723 μΩ.cm. Figure 2 shows one period of the electrical charge passing through this line. Neglecting the temperature effect.

I got about 6.5 Ohms as the resistance.

Oh sorry, will do next time.
 

Georacer

Joined Nov 25, 2009
5,182
The first step is to calculate the resistance of the line (the long cable). After that the rest is just formulas:

\(i(t)=V_i(t)/R_{tot} \\
and\ V_o(t)=i(t) \cdot R \\
where\ R_{tot}=R+R_{line}\)

Is that clear?
 
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