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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.