- #1
ongxom
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Homework Statement
Calculate equivalent resistor
The Attempt at a Solution
Req=(10 series 5)//(10)//(3)//(2)//(9 series 40) series 8//(4)
I am not sure in the bolded text, is 9Ω connected serially with 40Ω.
Equivalent Resistor Calculation for Series and Parallel Circuits
- Thread starter ongxom
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- Equivalent Resistor
In summary, an equivalent resistor is a single resistor that can replace a group of resistors in a circuit while maintaining the same total resistance. This simplifies the circuit and makes it easier to analyze. The equivalent resistor for resistors in series is calculated by adding the individual resistances together, while the formula for calculating the equivalent resistor for resistors in parallel is 1/Req = 1/R1 + 1/R2 + 1/R3 + ... The equivalent resistor can be greater than the individual resistors in the circuit, which is common in parallel circuits. This concept is commonly used in circuit analysis and design, making it useful in applications such as electronics, electrical engineering, and physics.
Calculate equivalent resistor
Req=(10 series 5)//(10)//(3)//(2)//(9 series 40) series 8//(4)
I am not sure in the bolded text, is 9Ω connected serially with 40Ω.
- #2
gneill
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Nope. Redraw your circuit after performing the "(10 series 5)//(10)//(3)//(2)" operations.
- #3
Simon Bridge
Science Advisor
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Do it yourself and see.
- #4
TimeToShine
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As said above, redraw the circuit. You have the equivalent resistance of the unbolded text correct. redraw the circuit and you should see it is similar to what you have already done.
- #5
ongxom
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First : [(10 series 5)//(10)//(3)//(2)] series 9 = 10Ω
Redraw the circuit
Req = (40//10) series 4 series 8 = 20Ω
Redraw the circuit
Req = (40//10) series 4 series 8 = 20Ω
- #6
gneill
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Yup. Looks good.
What is a equivalent resistor and why is it important?
An equivalent resistor is a single resistor that can replace a group of resistors in a circuit while maintaining the same total resistance. This concept is important because it simplifies the circuit and makes it easier to analyze and calculate values.
How do I calculate the equivalent resistor for resistors in series?
The equivalent resistor for resistors in series is calculated by adding the individual resistances together. This can be represented by the formula: Req = R1 + R2 + R3 + ...
What is the formula for calculating the equivalent resistor for resistors in parallel?
The formula for calculating the equivalent resistor for resistors in parallel is: 1/Req = 1/R1 + 1/R2 + 1/R3 + ...
Can the equivalent resistor be greater than the individual resistors in the circuit?
Yes, the equivalent resistor can be greater than the individual resistors in the circuit. This can happen when the resistors are in parallel, as the total resistance decreases when resistors are in parallel.
How can I use the concept of equivalent resistors in practical applications?
The concept of equivalent resistors is commonly used in circuit analysis and design. It allows for simplification of complex circuits and can be used to determine the overall resistance in a circuit. This is useful in applications such as electronics, electrical engineering, and physics.
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