Electric circuit problem, finding internal resistance

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SUMMARY

The discussion centers on calculating the internal resistance of a battery with an electromotive force (emf) of 6.0 V connected to a 2.0 Ω resistor, where the voltage drop across the resistor is 5.0 V. Using the equation VT = ε - Ir, the internal resistance is determined to be 0.40 Ω. This conclusion clarifies that the internal resistance is not the same as the external resistor value but rather a separate component of the circuit.

PREREQUISITES
  • Understanding of Ohm's Law
  • Familiarity with electromotive force (emf)
  • Knowledge of voltage drop calculations
  • Basic circuit analysis techniques
NEXT STEPS
  • Study the application of Ohm's Law in series circuits
  • Learn about internal resistance in batteries and its impact on performance
  • Explore advanced circuit analysis techniques using Kirchhoff's laws
  • Investigate the effects of load resistance on battery output
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Students studying electrical engineering, physics enthusiasts, and anyone looking to deepen their understanding of battery performance and circuit analysis.

physics604
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1. A battery whose emf is 6.0 V is connected to a 2.0 Ω resistor. The voltage drop across the 2.0 Ω resistor is 5.0 V. What is its internal resistance?

a) 0.40 Ω
b) 1.7 Ω
c) 2.4 Ω
d) 2.5 Ω



Homework Equations



VT=ε-Ir

The Attempt at a Solution



I know that

ε=6.0 V
VT=5.0 V
and a resistor= 2.0 Ω

The resistor part is what I don't understand. If I'm looking for the internal resistance, I'm looking for the resistance of the resistor. So if they give me the resistance to be 2.0 Ω in the question, shouldn't the answer be 2.0?

The answer is a) 0.40 Ω.
 
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physics604 said:
1. A battery whose emf is 6.0 V is connected to a 2.0 Ω resistor. The voltage drop across the 2.0 Ω resistor is 5.0 V. What is its internal resistance?

a) 0.40 Ω
b) 1.7 Ω
c) 2.4 Ω
d) 2.5 Ω



Homework Equations



VT=ε-Ir

The Attempt at a Solution



I know that

ε=6.0 V
VT=5.0 V
and a resistor= 2.0 Ω

The resistor part is what I don't understand. If I'm looking for the internal resistance, I'm looking for the resistance of the resistor. So if they give me the resistance to be 2.0 Ω in the question, shouldn't the answer be 2.0?

The answer is a) 0.40 Ω.

You're looking for the internal resistance of the battery.
 

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