Equilvalent Resistance Problems

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In summary, in order to calculate potential difference of a complex circuit, one must understand Ohms law, understand how current in simple series and parallel circuits works, and be able to combine resistors to get a total resistance.
  • #1
mustang
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How do you figure out the equilvalent resistance of a complex- circuit?

How does one figure out potential difference of a complex-circuit?
 
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  • #2
There are various Theorems including symmetry principles to solve the Complex Pros. etc. For eg Kirchoff's Law etc.

Pls give us an Ex where u want to apply these Th or the circuits which u find complex
 
  • #3
Problems

Problem 21.
A(n) 8.8 ohm resistor with a(n) 4.4 ohm resistor are connected inseries with a battery. The potential difference across the 4.4 ohm resistor is measured as 9 V.
Find the potential difference acrosss the battery. In V.
Note: I don't know where to start?

Problem 22.
A(n) 9.2 ohm resistor a(n) 4.4 ohm resistor are connected in series to a battery, and the current through the 9.2 ohm resistor is 1.3 A.
Find the potential difference across the battery. In V.
Note: How do i start?

Problem 24.
A. A 26.6 ohm resistor is connected in parallel to a 13.5 ohm resistor. These are joined in series to a 8.30 ohm resistor and a source with a potenital difference of 37.0V.
Calculate the equivalent resistance. In units of ohms.
Note: I don't know where to start.

C. Calculate the current in the first resistor. Answer in A.

E. Calculate the potential difference across the first resistor. Answer in units of V.
 
  • #4
These are probably simpe problems just dealing with ohms law.

You first need to understand the ohms law and application in simple series and parallel circuits
 
  • #5
For the first 2 remember that current in a series circiut is constant throught all elements.

In the first problem you are given voltage and resistance, use ohms law to find the current. Then use that current to find the voltage across the other resister. Now add the voltages to get the battery voltage.

The second problem is very similar, think about it.

For the third problem you need to now how to combine individual resistors to get a total resistance. RTFM. Once you have total resistance you have total current. Should be stright forward from there.
 

1. What is equivalent resistance?

Equivalent resistance is the combined resistance of multiple resistors in a circuit. It is a single value that represents the total resistance in a circuit that can replace the original resistors without changing the overall behavior of the circuit.

2. How do you calculate equivalent resistance?

To calculate equivalent resistance in a series circuit, you simply add the resistance values of each resistor. In a parallel circuit, you use the equation 1/Req = 1/R1 + 1/R2 + 1/R3 + ..., where Req is the equivalent resistance and R1, R2, R3, etc. are the resistance values of each individual resistor.

3. What is the difference between series and parallel circuits?

In a series circuit, the resistors are connected one after the other in a single path, whereas in a parallel circuit, the resistors are connected in branches. In a series circuit, the current remains constant throughout, while in a parallel circuit, the current is divided among the branches.

4. How can equivalent resistance be useful in circuit analysis?

Equivalent resistance simplifies complex circuits and makes it easier to analyze the behavior of a circuit. It allows us to replace multiple resistors with a single value, making calculations simpler. It also helps in determining the power dissipated in a circuit and the overall efficiency of the circuit.

5. Can equivalent resistance ever be greater than the largest individual resistor?

Yes, equivalent resistance can be greater than the largest individual resistor in a parallel circuit. This is because in a parallel circuit, the total resistance is less than the smallest resistor. However, in a series circuit, the equivalent resistance will always be greater than any individual resistor in the circuit.

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