Balance length for a potentiometer circuit

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SUMMARY

The discussion focuses on calculating the appropriate length for a potentiometer circuit, specifically determining that a length of 4 cm is correct. The voltage drop across the circuit is given as VAB = 15 V, and to null the voltmeter, a voltage VCB of 6 V is required. The relationship established is VAB/VCB = 10 cm/L, leading to the conclusion that L equals 4 cm.

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Bolter
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Homework Statement
Find value of balance length
Relevant Equations
V = kL
Here is the question itself

B484074F-9B25-4512-9096-372C0E0CC5F1.jpeg

Here is my attempt at it

BE51302D-C3AC-4F6E-94BD-DDB3E7582B99.jpeg


Does 4cm look right?

Any help would be great, thanks!
 
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That looks about right. You know that the voltage drop VAB =15 V. To null the voltmeter you need a voltage VCB = 6 V. Then ##\dfrac{15~\mathrm{V}}{6~\mathrm{V}}=\dfrac{10~\mathrm{cm}}{L}~\rightarrow L=4~\mathrm{cm}.##
 
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