Req of this series/parallel circuit?

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Homework Help Overview

The discussion revolves around calculating the equivalent resistance (Req) of a circuit involving resistors in series and parallel configurations. The original poster expresses difficulty in arriving at the expected answer of 150 ohms.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate Req by treating resistors in series and parallel but arrives at a different value. They also question the implications of an open switch on the potential difference in the circuit.

Discussion Status

Participants have provided hints regarding the presence of a wire connected to one end of a resistor, suggesting it may affect the voltage across that resistor. Some have noted that this wire could be treated as having zero resistance, leading to further exploration of how this impacts the overall circuit configuration.

Contextual Notes

There is mention of an open switch resulting in zero current, and the implications of a wire with low resistance connected across a resistor are under discussion. The original poster's calculations and assumptions are being questioned and explored without reaching a definitive conclusion.

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Homework Statement


What is the Req of this circuit?
The answer should be 150 ohms, but I can't get that.

Homework Equations


Req = R1 + R2
1/Req = 1/R1 + 1/R2

The Attempt at a Solution


If I treat R1 and R3 as series, I get R13= 200 ohms.
Then if I treat R13 and R2 and parallel I get R123 = 66.7 ohms.
Then if I treat R123 and R4 as series, I get Req = 266.7 ohms.

Also, since the current is 0 (open switch), then the potential difference between points P and Q would also be 0, right?
 
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A hint..

There appears to be a wire (grey) connected from one end of R3 to the other end. What does that mean for the voltage across R3 or R3 in general?
 
CWatters said:
A hint..

There appears to be a wire (grey) connected from one end of R3 to the other end. What does that mean for the voltage across R3 or R3 in general?
No clue. It's the same as the source's voltage?

Also, did you manage to get Req?
 
The grey wire has a very low resistance, let's assume it's zero Ohms. You therefore have R3 in parallel with a zero Ohm resistor..

For that bit of the circuit..

I/R = 1/R3 + 1/zero

but 1/zero = ∞

so R3 in parallel with zero Ohms = zero Ohms.

The circuit reduces to..
 

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I'll let you have another go at calculating Req.
 
CWatters said:
The grey wire has a very low resistance, let's assume it's zero Ohms. You therefore have R3 in parallel with a zero Ohm resistor..

For that bit of the circuit..

I/R = 1/R3 + 1/zero

but 1/zero = ∞

so R3 in parallel with zero Ohms = zero Ohms.

The circuit reduces to..
Smart, thanks.
 

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