Current Electricity and Electrical InstrumentMedium

Question

$AB$ is a part of an electrical circuit (see figure). The potential difference " $V_{A} - V_{B}$ ", at the instant when current $i = 2\text{ }A$ and is increasing at a rate of $1amp/$ second is:

Options

A.5 volt
B.6 volt
C.9 volt
D.10 volt

Solution

$$\begin{matrix} & \text{~}\text{Given,}\text{~}I = 2\text{ }A\text{~}\text{and}\text{~}\frac{di}{dt} = + 1\text{ }A/s \\ & V_{A} - L\frac{di}{dt} - 5 - i \times 2 = V_{B} \\ & \ \Rightarrow V_{A} - 1 \times 1 - 5 - 2 \times 2 = V_{B} \\ & \ \Rightarrow V_{A} - V_{B} = 10volt \end{matrix}$$

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