# Equivalent Resistance of Circuit System

In summary, the conversation is about a problem with a series/parallel circuit. The speaker is unsure of where to draw the loops and asks for advice. Another participant suggests grouping the resistors together in parallel and then in series. The speaker thanks them for their help.
I'm having trouble with this problem. Any advice would be appreciated. I know I can't group all resistors together in one loop, but I'm not sure where to draw my loops.

Should I choose the 200 ohm and 300 ohm for one parallel and the 400 ohm and 80 ohm for the other parallel?

I have a general understanding of series/parallel circuits, but this one is throwing me.

Thanks again,

-Alex

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You can make a single resistor with this one. The 200 and 300 ohm resistors are in parallel as are the 400 and 80 ohm resistors. The two equivalent resistors are then in series.

Thank you analogdesign! I'm glad I was on the right track. =)

## 1. What is equivalent resistance in a circuit system?

Equivalent resistance is a measure of the combined resistance of multiple resistors in a series or parallel circuit. It is the single resistance value that would produce the same current flow as the entire circuit system.

## 2. How is equivalent resistance calculated?

In a series circuit, equivalent resistance is calculated by simply adding the individual resistance values. In a parallel circuit, it is calculated using the formula 1/Req = 1/R1 + 1/R2 + 1/R3 + ..., where Req is the equivalent resistance and R1, R2, R3, etc. are the individual resistance values.

## 3. Can equivalent resistance ever be lower than the smallest individual resistance in a circuit?

Yes, in a parallel circuit, equivalent resistance can be lower than the smallest individual resistance. This is because the current has multiple paths to flow through, decreasing the overall resistance of the circuit.

## 4. What is the significance of equivalent resistance in circuit analysis?

Equivalent resistance is important in circuit analysis because it simplifies complex circuits by reducing them to a single resistance value. This allows for easier calculation of current and voltage in the circuit.

## 5. How is equivalent resistance affected by the arrangement of resistors in a circuit?

The arrangement of resistors in a circuit, whether in series or parallel, affects the equivalent resistance. In a series circuit, equivalent resistance increases as more resistors are added, while in a parallel circuit, equivalent resistance decreases as more resistors are added.

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