Experiment Step 1. Pick four resistors with nominal values. Ri-100?, R: 220?, R,

Question

Experiment Step 1. Pick four resistors with nominal values. Ri-100?, R: 220?, R,-1K2, and R4-2.2M2 Measure the resistance values and calculate the uncertainties. Fill up the data table Step 2. Calculate the equivalent resistance for all four circuits in figures 1 and 2 using the measured values Step 3. Make the circuits according to the diagrams in figures 1 and 2. Measured the equivalent resistance of each circuit and calculate the uncertainty. Does the measured value agree with the calculated value? Step 4. Design a circuit using any combination of the four resistors you have picked in step 1. The goal is to make the equivalent resistance as low as possible. Draw your circuit diagram and calculate the equivalent resistance

Explanation / Answer

Let us determine the equivalent resistance of the resistors in figure 1 and 2

Figure 1

a)equivalent resistance=R1+R2=100+220=320 Ohms

b)equivalent resistance=(1000*2200)/(1000+2200)=687.5 Ohms

Figure 2

a)equivalent resistance=100+220+687.5=1007.5 Ohms

b)R1 and R3 are in series

Their resistance=100+1000=1100 Ohms

This is in parallel to 220 Ohms

Their equivalent resistance=(1100*220)/(1100+220)=183.33 Ohms

This is in series with 2200 Ohms

Total resistance of circuit=183.33+2200=2383.33 Ohms

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