Figure 27-27 shows a circuit of four resistors that are connected to a larger ci

Question

Figure 27-27 shows a circuit of four resistors that are connected to a larger circuit. The graph below the circuit shows the electric potential V(x) as a function of position x along the lower branch of the circuit, through resistor the potential VA is 12.4 V. The graph below the circuit shows the electric potential V(x) versus position x along the upper branch of the circuit, through resistors 1, 2, and 3; the potential differences are Delta V = 1.85 V and Delta VC = 4.45 V. Resistor 3 has a resistance of 188 Ohm. What is the resistance of resistor 1?

Explanation / Answer

potential through resistor 4 is V4= 12.4 V Vg = 1.85 V Vc = 4.45 V resistance of 3 is R3 = 100 resistance of 1 is R1 = ? potential drop across resistor 3 is V = V4-Vg-Vc                                                          = 6.1 V Ratio of potential differences across R1 ,R2 andR3 is = R1:R2:R3 i.e., Vg : Vc : V = R1 : R2 : R 3 1.85 : 4.45 : 6.1 = R1 : R2 : 100 1.85 /R1 = 6.1 / 100          R1 = (1.85 /6.1) *100                = 30.32

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