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FUNDAMENTALS OF ELECTRIC SYSTEMS

            1.4                        CHAPTER ONE

            CURRENT AND RESISTANCE

            The electric current i is established in a conductor when a net charge q passes through it in
            time t. Thus, the current is

                                             q
                                          i
                                             t
            The units for the parameters are
            ● i: amperes (A)
            ● q: coulombs (C)
            ● t: seconds (s)
            The electric field exerts a force on the electrons to move them through the conductor. A
            positive charge moving in one direction has the same effect as a negative charge moving in
            the opposite direction. Thus, for simplicity we assume that all charge carriers are positive.
            We draw the current arrows in the direction that positive charges flow (Fig. 1.3).
              A conductor is characterized by its resistance (symbol   ). It is defined as the
            voltage difference between two points divided by the current flowing through the con-
            ductor. Thus,

                                             V
                                         R
                                              i
            where V is in volts, i is in amperes, and the resistance R is in ohms (abbreviated  ).
              The current, which is the flow of charge through a conductor, is often compared to the
            flow of water through a pipe. The water flow occurs due to the pressure difference between
            the inlet and outlet of a pipe. Similarly, the charge flows through the conductor due to the
            voltage difference.
              The resistivity   is a characteristic of the conductor material. It is a measure of the
            resistance that the material has to the current. For example, the resistivity of copper is
                                                16
            1.7 	 10  8   
m; that of fused quartz is about 10  
m. Table 1.2 lists some electrical
            properties of common metals.
              The temperature coefficient of resistivity   is given by

                                            1  d

                                               dT











                        FIGURE 1.3 Electrons drift in a direction opposite to the electric
                        field in a conductor.




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