- #1
Effective Resistance of Circuit: 4.4 Ohm
- Thread starter Icy98
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SUMMARY
The effective resistance of the given circuit is determined to be 4 ohms, contrary to the initial claim of 4.4 ohms. The calculation involves the formula 1/(1/6 + 1/4) + 2, which simplifies to 4 ohms when R3 is omitted due to being shorted by a wire. The presence of a 0 Ω resistor in parallel with a 2 Ω resistor further confirms that R3 does not contribute to the overall resistance. This conclusion is supported by the understanding that the potential difference across R3 is negligible, resulting in minimal current flow through it.
PREREQUISITES- Understanding of Ohm's Law and resistance calculations
- Familiarity with series and parallel resistor configurations
- Basic knowledge of circuit diagrams and components
- Ability to interpret electrical potential differences in circuits
- Study the principles of series and parallel circuits in detail
- Learn about the impact of short circuits on effective resistance
- Explore the concept of equivalent resistance in complex circuits
- Investigate the role of ideal and non-ideal resistors in circuit analysis
Electrical engineering students, circuit designers, and anyone involved in analyzing or designing electrical circuits will benefit from this discussion.
- #2
andrevdh
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diagram/circuit?
- #3
Icy98
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Thank you. I've just uploaded the picture.andrevdh said:
- #4
stockzahn
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- #5
Icy98
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Is this correct?
- #6
andrevdh
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It is "shorted out" by the wire forming the corner, so there is in effect "no resitance" due to the wire. That means that you can redraw the circuit without the R3 resistor.
- #7
stockzahn
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Icy98 said:
You missed something. There is another cable/connection from point A to the other and of R3.
- #8
andrevdh
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Think of electric current flowing like water from the + terminal towards the - terminal of the battery.
- #9
Icy98
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What is the reason that we can omit R3?
- #10
stockzahn
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Icy98 said:
Complete the drawing from your 3rd post with the missing cable/connection. Then you will see.
- #11
BvU
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Good thread ! You really adapted quickly to the PF cultureIcy98 said:
!In the upper right of the original picture, there is a ' 0 ##\Omega## resistor ' in parallel with the 2 ##\Omega## resistor. Does that help ?
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- #12
Icy98
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Is this correct?
- #13
stockzahn
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Icy98 said:
Looks good, well done!
- #14
Icy98
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Thanks a lot to stockzahn, andrevdh and BvU for helping![emoji16][emoji5]️
- #15
andrevdh
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It's a pleasure. The potential difference over a small resistor, or in this case the corner wire, is almost zero. That means that the potential difference over the R3 resistor is also almost zero so that almost no current flows through it. It is thus not contributing to the circuit and can be ignored or eliminated.
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