Question

If an induction coil is open, then its $L$ and $R$ becomes

• A. $\infty ,0$
• B. $0,\infty$
• C. $\infty ,\infty$
• D. 0,0

Answer 1

The correct option is A

$\infty ,0$

Step 1: Given data

The induction coil is open.

We have to find $L$ and $R$

Step 2: Finding the vale of $R$

We know, when an induction coil is open, the circuit is considered to be short circuited. There will be no self induced electromotive force and the value across the inductor will be zero. Hence, the inductor will behave like a connecting wire.

Hence, resistance,

$$\begin{gathered} R=\frac{V}{I} \\ \Rightarrow R=0 \end{gathered}$$

$R=0\Rightarrow V=I$

Since $V$ across the circuit is $0$, $I$ is also equal to $0$

Step 3: Finding the value of $L$

$\Rightarrow$angular momentum,

$L=\frac{\varnothing }{I}$

where $\varnothing$ is electric flux

$$\begin{gathered} L=\frac{\varnothing }{I} \\ \Rightarrow L=\frac{\varnothing }{0} \\ \Rightarrow L=\infty \end{gathered}$$

So, we get $L=\infty$ and$R=0$. Therefore the answer is$\infty ,0$

Option A is correct