Three coils of inductance L_1 = 2 H, L_2 = 3 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) For a parallel connection, the equivalent inductance $L_{eq}$ is given by $\frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3} = \fra

Vedclass · Accepted Answer

Vedclass · Answer

(C) For a parallel connection, the equivalent inductance $L_{eq}$ is given by $\frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_2} + \frac{1}{L_3} = \frac{1}{2} + \frac{1}{3} + \frac{1}{6} = \frac{3+2+1}{6} = 1 \ H$, so $L_{eq} = 1 \ H$.For a series connection, $L_{eq} = L_1 + L_2 + L_3 = 2 + 3 + 6 = 11 \ H$.For a mixed connection, let us check the configuration where $L_1$ is in parallel with the series combination of $L_2$ and $L_3$:$L_{23} = L_2 + L_3 = 3 + 6 = 9 \ H$.Now, $L_1$ is in parallel with $L_{23}$:$\frac{1}{L_{eq}} = \frac{1}{L_1} + \frac{1}{L_{23}} = \frac{1}{2} + \frac{1}{9} = \frac{9+2}{18} = \frac{11}{18} \ H^{-1}$.Therefore, $L_{eq} = 18/11 \ H$.This corresponds to the circuit where $L_1$ is in parallel with the series combination of $L_2$ and $L_3$. Looking at the provided options, this configuration is represented by Figure $Q$.

Three coils of inductance $L_1 = 2 \ H$, $L_2 = 3 \ H$, and $L_3 = 6 \ H$ are connected such that they are separated from each other. To obtain an effective inductance of $18/11 \ H$ between points $A$ and $B$, which of the following figures is correct?

Similar Questions

An inductor coil of inductance $L$ is cut into two equal parts and both the parts are connected in parallel. The net inductance is

Two coils with self-inductance $1 H$ and $3 H$ are connected in series. Their mutual inductance is $5 H$. The equivalent self-inductance of the combination is: (in $H$)

Two coils of self-inductances $6 mH$ and $8 mH$ are connected in series and are adjusted for the highest coefficient of coupling. The equivalent self-inductance $L$ for the assembly is approximately: (in $mH$)

Two inductors,each of inductance $L$,are connected in parallel. One more inductor of value $5 \text{ mH}$ is connected in series with this configuration,and the effective inductance is $15 \text{ mH}$. The value of $L$ is . . . . . . $\text{mH}$.

An inductor coil of inductance $L$ is divided into two parts and both parts are connected in parallel. The net inductance is

Vedclass Test Series

Exam Paper Generator

Online Exam Module