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By Andrew Siegel
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Calculate the equivalent resistance of the circuit. 4545 n. Determine the resistance of the second resistor. 7 If resistors of 100 kn, 150 kn and 60 kn are connected in parallel with one another, what is the equivalent resistance? 8 A resistor of 8 n is connected in parallel with a 6 n resistor. The combination is in series with a resistor of unknown value. If the equivalent resistance of the circuit is 5 n, calculate the value of the unknown resistor. 125 S, the circuit being supplied by a 10 V source.
1 10 Variation of resistance of a conductor with temperature MASTERING ELECTRONIC CALCULATIONS and has units of 'per degree C' or eq- 1. ,... o have different numerical values; the reader should carefully note this fact, since use of the wrong value of ex can lead to an incorrect result. 2 offers one option which allows you to determine the value of ex referred to any temperature. o is the temperature coefficient of resistance referred to 0 °C. 6) allow us to solve a wide range of problems relating to the effect of temperature change on the resistance of conductors.
The resistance of a conductor is given by I R=pa where p is the resistivity of the conductor material, I is its length, and a the crosssectional area. The temperature coefficient of resistance of a conductor is the change in resistance per unit resistance per unit change in temperature, and the ratio in the increase in resistance per oc rise in temperature at ooc is the temperature coefficient of resistance referred to 0°C, or exo. If R0 is the resistance of a conductor at 0°C, then its resistance at temperature is e, R, = Ro(1 + exoe,) e2 its resistance is Ro(1 + txo92) Similarly, at R2 = INTRODUCTION TO EQUATIONS AND RESISTANCE 19 hence Rt 1 + exo9t =-=---~ R2 1 + exoa2 The resistance-temperature graph of a conductor is a straight line which cuts the zero-resistance axis at temperature axis at 9x, the latter being known as the inferred absolute zero of temperature.