Circuits and the percent change of current when the switch is closed

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SUMMARY

When closing the switch in a circuit with a 1.50 V battery (internal resistance r = 0.30 Ω) and a bulb resistance of R = 8.00 Ω, the current through bulb A changes from 0.181 A to 0.174 A. This results in a percent change in current of approximately -3.867%. The calculations for the percent change were attempted using both the formulas (174 - 181)/181 and (181 - 174)/174, leading to confusion regarding the correct interpretation of the results. The significant figures in the subtraction of 0.174 and 0.181 are determined by the least precise measurement, which is 0.174.

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  • Understanding of Ohm's Law
  • Familiarity with circuit components (batteries, resistors)
  • Knowledge of calculating percent change
  • Basic skills in significant figures and their rules
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ChrisWM
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Homework Statement
By what percent does the current through A change when the switch is closed
Relevant Equations
final-initial/initial
For an ideal battery (r = 0 Ω), closing the switch in (Figure 1)does not affect the brightness of bulb A. In practice, bulb A dims just a little when the switch closes. To see why, assume that the 1.50 V battery has an internal resistance r = 0.30 Ω and that the resistance of a glowing bulb is R = 8.00 Ω.
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Part A: What is the current through bulb A when the switch is open? This answer was .181 A

Part B: What is the current through bulb A after the switch has closed? This answer was .174 A

Part C: By what percent does the current through A change when the switch is closed? This is where I am stuck, I've tried -3.86,-3.87,3.86,3.87,4.02, and -4.02 and they are all wrong. I've done . (174-.181)/.181, and (.181-.174)/.174 and got the answers in the previous sentence, and I tried both positive and negative.
 
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Try 3.867% (together with the % symbol)
 
ChrisWM said:
Part C: By what percent does the current through A change when the switch is closed? This is where I am stuck, I've tried -3.86,-3.87,3.86,3.87,4.02, and -4.02 and they are all wrong. I've done . (174-.181)/.181, and (.181-.174)/.174 and got the answers in the previous sentence, and I tried both positive and negative.
How many significant figures are there in 0.174 - 0.181 ?
 

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