Figure 40 Applying Voltage Law to Loop 1

Figure 38 Assumed Direction of Current Flow

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Basic DC Theory DC CIRCUIT ANALYSIS Third, apply Kirchhoff’s voltage law to loops one and two by picking a point in each loop and writing a loop equation of the voltage drops around the loop; then set the equation equal to zero. Figure 40 Applying Voltage Law to Loop 1 Figure 40 shows Loop one. From Point A to Point B, there is an increase in voltage of 8 volts. From Point C to Point D, there is an increase in voltage of 200 (I₂ - I₁). From Point D to Point E, there is a decrease in voltage of 10 volts. From Point E to Point A, there is a voltage decrease of 50I₁ volts. The result in equation form is illustrated in equation (2-16). 8 + 200 (I₂ - I₁) - 50 I₁ - 10 = 0 (2-17) Using the same procedure for Loop 2 of Figure 39, the resulting equation is shown in equation (2-18). 10 - 200 (I₂ - I₁) + 40 - 100 I₂ = 0 (2-18) Fourth, solve equations (2-17) and (2-18) simultaneously. First, rearrange and combine like terms in the equation for Loop 1. -50 I₁ + 200 I₂ - 200 I₁ = 10 - 8 -250 I₁ + 200 I₂ = 2 Divide both sides by two. -125 I₁ + 100 I₂ = 1 Rev. 0 Page 51 ES-02

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