The figure shows a circuit of four resistors that are connected to a larger circ

Question

The figure 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 xalong the lower branch of the circuit, through resistor 4; the potential VA is 10.7 V. The graph above 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 ?VB = 2.32 V and ?VC = 4.19 V. Resistor 3 has a resistance of 150 ?. What is the resistance of (a) resistor 1 and (b) resistor 2?

The figure 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 xalong the lower branch of the circuit, through resistor 4; the potential VA is 10.7 V. The graph above 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 ?VB = 2.32 V and ?VC = 4.19 V. Resistor 3 has a resistance of 150 ?. What is the resistance of (a) resistor 1 and (b) resistor 2?

Explanation / Answer

apply ohms law as V = iR

so current i = V/R

here Rnet = R1+R2 +R3

as all these are in sereis, current will be same

so

Vb-Va = 12-5 = 7 volts

i3 = 7/200 = 0.035 Amps

so

i1 = V1/R1

i1 =VA/R1

R1 = 12/0.035   = 342.8 Ohms

R2 = 5/0.035 = 142.85 0hms

R3 = 200 ohms

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