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
Correct answer is C
Using the voltage- divider method which states that the output voltage is directly proportional to the input voltage and the ratio of R1 and R2, given by:
\(V_{a}\) = \(\frac{R_{a}}{R_{T}}\times V_{T}\)
\(R_{T}\) = \(1 + \frac{4\times4}{4+4}\)
⇒ \(R_{T}\) = \(3\Omega\)
\(V_{1}\) = \(\frac{1}{3}V\)