The figure below shows a circuit of four resistors that are connected to a large

Question

The figure below 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 x along the lower branch of the circuit, through resistor 4; the potential Va is 12.0 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 delta VB = 2.00 V and delta Vc = 5.00 V. Resistor 3 has resistance of 200 ohms.

1. What is the resistance of resistor 1?

2. What is the resistance of resistor 2?

Explanation / Answer

The Potential across R1 ,R2 and R3 is 12 Volts.So Voltage across Resistor 3 is

V3=12-5-2 =5 Volts

Current flowing in the upper branch

I=V3/R3 = 5/200 =0.025 A

1.

So resistance 1 is

R1 =VB/I =2/0.025

R1=80 ohms

2.

So resistance 2 is

R2=VC/I =5/0.025

R2=200 ohms

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