24.01.2017 Views

Basic Electronics for Scientists and Engineers

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

14 <strong>Basic</strong> concepts <strong>and</strong> resistor circuits<br />

R s<br />

V<br />

M<br />

R m<br />

V m<br />

Figure 1.16 Using a resistor to measure voltage with a<br />

current meter.<br />

10 k<br />

R 1<br />

I<br />

I 1<br />

0<br />

R 2 5k<br />

130 V V 0 Loop 2 I 2 Loop 3 R 4 20 k<br />

R 3<br />

5k<br />

Loop 1<br />

Figure 1.17 The st<strong>and</strong>ard method of solving circuit problems.<br />

V = V m<br />

(<br />

1 + R s<br />

R m<br />

)<br />

(1.25)<br />

so by varying R s we can make the full scale deflection of the meter correspond<br />

to any input voltage.<br />

1.2.3 Techniques <strong>for</strong> solving circuit problems<br />

We list here three methods <strong>for</strong> solving circuit problems, <strong>and</strong> illustrate the use of<br />

these techniques on the same problem that we solved previously using equivalent<br />

circuit laws <strong>for</strong> resistors. Our goal is to solve <strong>for</strong> the current through resistor R 4 in<br />

Fig. 1.17.<br />

The st<strong>and</strong>ard method This method involves assigning currents to each branch of<br />

the circuit <strong>and</strong> then applying KVL <strong>and</strong> KCL. In Fig. 1.17 we have assigned currents<br />

I 0 , I 1 ,<strong>and</strong>I 2 . In this case, the application of KCL gives a single equation<br />

I 0 = I 1 + I 2 (1.26)

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!