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In the above, a voltage V is applied across the terminals P and Q. The...

Physics
JAMB 1987

In the above, a voltage V is applied across the terminals P and Q. The voltage across the 1 ohm resistor is

  • A. V/8
  • B. V/4
  • C. V/3
  • D. V/2
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Correct Answer: Option C
Explanation

Using the voltage- divider method, which states that the output voltage is directly proportional to the input voltage and the ratio of R\(_1\) and R\(_2\), given by:

\(V_{a}\) = \(\frac{R_{a}}{R_{T}}\times V_{T}\)

\(R_{T}\) = \(1 + \frac{4\times4}{4+4}\)

⇒ \(R_{T}\) = \(3\Omega\)

\(V_{1}\) = \(\frac{1}{3}V\)

 

 


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