Introduction to Electric Circuits

26 Electric circuit elements C = rrE/ln(d/r) farad per metre Example 2.14 (2.23) Two parallel plates each of area 100 cm 2 are s ...

2.3 Circuit elements 27 1/Ceq = 1/C1 + 1/C2 In general for n capacitors in series we have, for the equivalent capacitance, 1/Ceq ...

28 Electric circuit elements 3 (a) When C1 is connected in series with the parallel combination of C2 and C3 the equivalent capa ...

2.3 Circuit elements 29 The coefficient of dI/dt (i.e. tzoN2A/l) is called the coefficient of self-inductance of the coil or, mo ...

30 Electric circuit elements Solution 1 Since the ring, shown in Fig. 2.21, is of wood (a non-ferromagnetic material) the induct ...

2.3 Circuit elements 31 it which links coil 2 be ~b2~. Similarly, let the flux produced in coil 2 be t~2 2 and that part of it w ...

32 Electric circuit elements Example 2.17 Calculate the mutual inductance between two coils having self-inductances of 2.5 mH an ...

Figure 2.24 i M i L1 L2 2.3 Circuit elements 33 This assumes that the coils are wound such that their fluxes are additive (i.e. ...

34 Electric circuit elements In Example 2.17 part (3) the M was zero so that the effective inductance is simply 2.5 + 40 = 42.5 ...

2.5 Energy stored in circuit elements 35 placed at the receiving end (or load end) of the line, the equivalent circuit is as sho ...

36 Electric circuit elements that W = 8 mJ (from Example 2.20) and we have to find I. Rearranging the equation to make the curre ...

7 Self-assessment test 37 From Equation (2.52), R = P/I 2 = 2000/202 - 5 From Equation (2.54) the energy lost is W = IaRt = 202 ...

38 Electric circuit elements 14 Give an expression for the equivalent capacitance of a number of capacitors connected in series. ...

2.8 Problems 39 current of 2 A the terminal voltage drops to 22 V. Determine the internal resistance of the battery. 7 The windi ...

3 DC circuit analysis 3.1 INTRODUCTION Circuit analysis is important in order to be able to design, synthesize and evaluate the ...

3.2 Definition of terms 41 9 Short circuit: the connection between nodes 4 and 5 is made with a piece of wire having virtually ...

42 DC circuit analysis 3.3 KIRCHHOFF'S CURRENT LAW Kirchhoff's current law may be stated as follows. The sum of the currents ent ...

3.4 Kirchhoff's voltage law 43 I3R 3 - V + I1R 1 potential differences in that direction are then positive and those in the oppo ...

44 DC circuit analysis Example 3.1 Determine the current flowing in the resistor R in the circuit of Fig. 3.6. Solution Let the ...

Example 3.2 3.5 The principle of superposition 45 Determine the currents 13 and 12 flowing in the circuit of Fig. 3.7. Solution ...