Calculate Unknown Resistance in Parallel Circuit

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SUMMARY

The discussion focuses on calculating an unknown resistance in a parallel circuit involving a 3.3-ohm resistor connected to a 3V battery with a total current of 1.41 A. The user derived the equation R = (1/3.3 + 1/x)^-1 and calculated the equivalent resistance to be 2.13 ohms. The unknown resistance, denoted as x, was ultimately determined to be 6 ohms. The user successfully solved the problem after initial confusion regarding the calculation process.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Knowledge of parallel resistor formulas
  • Basic algebra skills for solving equations
  • Familiarity with circuit analysis concepts
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  • Study the derivation of the parallel resistor formula in depth
  • Learn about circuit analysis techniques using Kirchhoff's laws
  • Explore practical applications of Ohm's Law in real-world circuits
  • Investigate the impact of different resistor values on total circuit resistance
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Electronics students, hobbyists working with circuits, and anyone interested in understanding parallel resistance calculations.

Bryster77
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a 3.3ohm resistor and another resistor are connected in parallel across a 3v battery. the current in the circuit is 1.41 A. Find the uknown resistance

R=(1/3.3 + 1/x)^-1

V=IR
3v= 1.41A(R)
R= 2.13 ohm

this is where i got stuck...

2.13 ohm= (1/3.3 ohm + 1/x ohm)^-1

how do i go about finding x...

the answer is 6 ohm but I am curious how. :D ty
 
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nevermind i got it
 

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