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 \(\Omega\).

If two resistors are connected in series then its equivalent resistance is sum of the individual resistance If two resistors are connected in parallel then its equivalent resistance reciprocal of the sum of the reciprocal of the individual resistances 600 ohm connected in series with 100 ohm resistor and 500 ohm resistor connected in series with 1 ohm Req1 = 600 + 100 = 700 ohmReq2 = 500 + 1000 = 1500 ohmTotal equivalent resistance1Req =1Req1+1Req2 +1R11250=1700+11500+1R11R1=1250-1700-11500R1 = 525 Ω