Select the best answer to make statements 21 through 52...

Select the best answer to make statements 21 through 52 true, and place the corresponding letter in the space provided. Refer to Figure $10-1$ for problems 24 through 30 FIGURE CANT COPY Figure 10-1 Summary review circuit. An ohmmeter is connected across points $\mathrm{X}$ and $\mathrm{Y}$. It has a reading of infinity. This indicates that (a) one resistor is open (b) $R_1$ or $R_2$ is open (c) $R_3$ or $R_4$ is open (d) one resistor in each branch is open (e) $R_1$ and $R_2$ are both open.._________

Select the best answer to make statements 21 through 52 true, and place the corresponding letter in the space provided.
Refer to Figure $10-1$ for problems 24 through 30
FIGURE CANT COPY
Figure 10-1 Summary review circuit.
An ohmmeter is connected across points $\mathrm{X}$ and $\mathrm{Y}$. It has a reading of infinity. This indicates that (a) one resistor is open (b) $R_1$ or $R_2$ is open (c) $R_3$ or $R_4$ is open (d) one resistor in each branch is open (e) $R_1$ and $R_2$ are both open.._________

Key Concepts

Fault Diagnosis in Electrical Circuits

Fault diagnosis is the process of identifying and locating failures within a circuit. In the context of resistance measurements, an infinite reading is a key indicator of a fault, such as an improperly functioning resistor or a disconnected branch, that disrupts current flow.

Open Circuit

An open circuit occurs when there is a break in an electrical pathway, preventing current from flowing. This results in an infinite resistance reading on instruments such as an ohmmeter, as there is no contiguous path for the flow of current.

Ohmmeter Operation

An ohmmeter measures resistance between two points in a circuit. When it displays an infinite reading, it indicates the absence of a continuous conductive path due to a break or defect, such as an open circuit, within the measurement path.

Circuit Analysis

Circuit analysis involves evaluating electrical networks to determine how components such as resistors affect current flow and voltage distribution. Diagnosing issues like an open circuit requires understanding how each component contributes to the overall circuit behavior.

Transcript

00:01 So if we simplify the circuit diagram which is here we get something like this where the 12 oms and 22 oms resistor are in series are in parallel and then 4 .5 ombs register is in series with these two guys and then this whole setup is in parallel connection with 14 oms and let's let's actually call this setup r1 so that it's easier to calculate now the first job for us is to find out this r1 2 value so it's going to be r1 2 which is equal to 1 over 12 oms plus 1 over 22 oms reciprocal of that and that gives us 7 .7 6 5 oms now since this guy is in series connection with 4 .5 so the total and then let's call this guy r3 so the total equivalent resistance will be r1 to 3 which is 4 .5 plus 7 .765 oms which is equal to 12.

01:42 265 oms let's actually make some space here so yeah so now we know this and from there we know that 14 oms is in parallel connection with this whole setup so that's going to be our eq which is parallel so that's going to be one point one over one two six five oh so that's this guy plus one over 14 oms reciprocal of that and that gives us and that gives us 6 .538 oms let me actually represent it properly so that we can understand so now this whole setup we call this r one two three right so that's the equivalent resistance of the whole circuit now for part b we need to find the current that's going through this resistor for denome so what we can do is we can apply kirchups loop rule on this loop and if we do so we see it's going to be shy minus i 1 4 times r14 so i 1 4 is basically the current that's passing to 14 -homes resistor so if we solve for i 1 4 we get something like this and here our emm voltage or shy is given so that's that's how we get our current so now we know that 0 .4286 amps current is going through this part so we need to figure out what amount of current is going through we need to figure out what amount of current is going through r12 and r12 to be precise so what we do here is again we are using kirchap's law loop rule for the outer loop and by outer loop we mean that we take this whole thing and we're considering these two resistor as one.

04:39 So that means instead of writing these two separately, we're writing r1 ,2.

04:45 So that means the current, so that means this guy and this whole thing is in series connection.

04:50 So the current flowing through the setup will be same.

04:55 So that's what we did here...

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