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Additional resources for Basic Circuit Analysis (2nd Edition)
5-A across it and thus a current through it. Find the current and unknown voltages in the circuit shown in Fig. 3-8. The total resistance is the sum of the resistances: 10 + 15 + 6 + 8 + 1 1 = 50 Q. The total voltage rise from the voltage sources in the direction of 1 is 12 - 5 + 8 = 15 V. 3 A. 3 V. The equations for V, and C’, have negative signs because the references for these voltages and the reference for 1 are not associated. 19 Find the voltage V,, in the circuit shown in Fig. 3-8. V,, is the voltage drop from node a to node h, which is the sum of the voltage drops across the components connected between nodes U and h either to the right or to the left of node a.
G, + G2 + G3 + * * . If the conductances are the same (G), and if there are N of them, then Gl, = N G and R,. = l/G,. = 1/NG = R / N . Finding the voltage in a parallel circuit is easier using total conductance than applying KCL directly. Sometimes working with resistances is preferable to conductances. Then from R , = 1 # G,. ), + + + R,. = 1 I/R, + 1/R2 + 1/R, + * * An important check on calculations with this formula is that R , must always be less than the least resistance of the parallel resistors.
Mathematically, a resistor is a circuit component for which there is an algebraic relation between its instantaneous voltage and instantaneous current such as t' = iR, the voltage-current relation for a resistor that obeys Ohm's law--a linear resistor. Any other type of voltage-current relation ( c = 4i2 + 6 , for example) is for a nonlineur resistor. The term "resistor" usually designates a linear resistor. Nonlinear resistors are specified as such. Figure 2-2u shows the circuit symbol for a linear resistor, and Fig.