Introduction to electric circuits by Ray Powell

By Ray Powell

An creation to electrical Circuits is vital analyzing for first yr scholars of electronics and electric engineering who have to familiarize yourself fast with the elemental conception. this article is a accomplished creation to the subject and, assuming nearly no wisdom, it retains the mathematical content material to a minimum.
As with different textbooks within the sequence, the structure of this publication allows the scholar to paintings at their very own speed. It comprises a variety of labored examples through the textual content and graded routines, with solutions, on the finish of every part.

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Example text

Between what limits does the resistance of this resistor lie? 12 Explain what is meant by 'a non-linear' resistor. 13 Upon what factors does the capacitance of a capacitor depend? 38 Electric circuit elements 14 Give an expression for the equivalent capacitance of a number of capacitors connected in series. 15 Can the current change suddenly in a capacitor? 16 Upon what factors does the inductance of an inductor depend? 17 Under what circumstances is the inductance of a coil variable? 18 Can the current through an inductor change suddenly?

Current division In Fig. 9 Determine the current 12 and the voltage V in the circuit of Fig. 13. 15), I2 = RII/(R, 4- R2) -- 10 x 20/(10 + 40) = 4 A. 10 The circuit of Fig. 14 is a series-parallel circuit. Calculate (1) the current drawn from the supply (I); (2) the potential difference across the resistor R 4 (V4); (3) the current through the resistor R 6 (/6)" R2 = 5f~ I I R1 = 10t2 (- 1 R5 = 1 0 ~ R3 = 20f~ l R4 = 25t2 I IOOV ! 45 ~. 19 A 22 Electric circuit elements Internal resistance It was stated earlier in the chapter that an ideal voltage source is independent of the current flowing through it.

E. ( ~ mE)/m = 1~ m. The unit of p is therefore the ohm-metre. Sometimes it is convenient to use the reciprocal of resistance which is called conductance (G) for which the unit is the siemens (S). Ernst Werner yon Siemens (1816-92) was a German inventor. The reciprocal of resistivity is conductivity (tr) for which the unit is the siemens per metre (S m-a). 75 cm in diameter, has a resistance of 80 p~l). 2 mm in diameter drawn out from this rod. 4), the resistance of the rod is given by RR = plR/AR SO that p = RRAR/lR where AR is the cross-sectional area of the rod and lR is its length.

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