For the resistor circuit shown in the accompanying figure, vhn resistance must R have to give a total resistance of 250 0: Answer: 525 N.

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For the resistor circuit shown in the accompanying figure, what resistance must R1 have to give a total resistance of 250Ω?

 

**Transcription for Educational Website**

### Problem Statement:

6. For the resistor circuit shown in the accompanying figure, what resistance must \( R_1 \) have to give a total resistance of 250 \(\Omega\)?

**Answer:** 525 \(\Omega\)

### Diagram Explanation:

The diagram illustrates a resistor network comprising five resistors:

1. A 600 \(\Omega\) resistor connected at the top.
2. A 100 \(\Omega\) resistor connected on the left side.
3. Resistor \( R_1 \), whose resistance needs to be determined.
4. A 500 \(\Omega\) resistor at the bottom.
5. A 1 k\(\Omega\) (1000 \(\Omega\)) resistor on the right side.

The resistors are arranged as follows:

- The 600 \(\Omega\), \( R_1 \), and 1 k\(\Omega\) resistors are connected in parallel.
- The 100 \(\Omega\) resistor is in series with this parallel combination.
- The 500 \(\Omega\) resistor is also in parallel with the above components.

The goal is to find the resistance of \( R_1 \) so that the total resistance of the circuit becomes 250 \(\Omega\).
Transcribed Image Text:**Transcription for Educational Website** ### Problem Statement: 6. For the resistor circuit shown in the accompanying figure, what resistance must \( R_1 \) have to give a total resistance of 250 \(\Omega\)? **Answer:** 525 \(\Omega\) ### Diagram Explanation: The diagram illustrates a resistor network comprising five resistors: 1. A 600 \(\Omega\) resistor connected at the top. 2. A 100 \(\Omega\) resistor connected on the left side. 3. Resistor \( R_1 \), whose resistance needs to be determined. 4. A 500 \(\Omega\) resistor at the bottom. 5. A 1 k\(\Omega\) (1000 \(\Omega\)) resistor on the right side. The resistors are arranged as follows: - The 600 \(\Omega\), \( R_1 \), and 1 k\(\Omega\) resistors are connected in parallel. - The 100 \(\Omega\) resistor is in series with this parallel combination. - The 500 \(\Omega\) resistor is also in parallel with the above components. The goal is to find the resistance of \( R_1 \) so that the total resistance of the circuit becomes 250 \(\Omega\).
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