Combination of Inductors

Q. Pure inductance of 3.0 H is connected as shown below. The equivalent inductance of the circuit is

1. 2 H
2. 3 H
3. 9 H
4. 1 H

Q. The equivalent inductance of two dissimilar inductors is $2.4\text{H}$, when connected in parallel and $10\text{H}$, when connected in series. The inductance of one of the inductors is -

1. $2\text{H}$
2. $6\text{H}$
3. $5\text{H}$
4. $7\text{H}$

Q. Two inductances connected in parallel are equivalent to a single inductance of $1.5\text{H}$ and when connected in series are equivalent to a single inductance of $8\text{H}.$ The difference in their inductance is-

1. $3\text{H}$
2. $7.5\text{H}$
3. $2\text{H}$
4. $4\text{H}$

Q. Three pure inductances each of $3\text{H}$ are connected as shown in fig. The equivalent inductance between points $A$ and $B$ is

1. $1\text{H}$
2. $2\text{H}$
3. $3\text{H}$
4. $9\text{H}$

Q. Two inductors 0.4 H and 20.6 H are connected in parallel. If this combination is connected in series with an inductor of inductance 0.76 H. The equivalent inductance of the circuit will be (nearly)

1. 2 H
2. 0.1 H
3. 0.2 H
4. 1 H

Q. A circuit contains two inductors of self-inductance $L_1$ and $L_2$ in series (see figure). If $M$ is the mutual inductance, then the effective inductance of the circuit shown will be

1. $L_1+L_2-2M$
2. $L_1+L_2+M$
3. $L_1+L_2+2M$
4. $L_1+L_2$

Q. In the following digital circuit, what will be the output at ${}^{\prime }{Z}^{\prime }$, when the input $(A,B$) are $(1,0),\text{are}(1,0),(0,0),(1,1),(0,1)$

1. $0,0,1,0$
2. $1,0,1,1$
3. $1,1,0,1$
4. $0,1,0,0$

Q. Find the equivalent inductance in the combination given below between points $\text{A}$ and $\text{B}$.

1. $3.8\text{mH}$
2. $3.1\text{mH}$
3. $2.4\text{mH}$
4. $5.6\text{mH}$

Q. The equivalent inductance of the network shown in the figure, between the points $a$ and $b$ is -

1. $\frac{4H}{3}$
2. $\frac{2H}{3}$
3. $\frac{H}{3}$
4. $H$

Q. Pure inductors each of inductance $3\text{H}$ are connected as shown. The equivalent inductance of the circuit is

1. $1\text{H}$
2. $2\text{H}$
3. $3\text{H}$
4. $9\text{H}$

Q. Find the equivalent resistance between $\text{A}$ and $\text{E}$ (Resistance of each resistor is $R$).

1. $\frac{7}{12}R$
   
2. $\frac{7}{13}R$
   
3. $\frac{7}{15}R$
   
4. $\frac{8}{13}R$
   

Q. A circuit contains two inductors of self-inductance $L_1$ and $L_2$ in series as shown in the figure. If $M$ is the mutual inductance, then the effective inductance of the circuit shown will be

1. $L_1+L_2-M$
2. $L_1+L_2+3M$
3. $L_1+L_2+2M$
4. $L_1+L_2$

Q. Two inductors 0.4 H and 20.6 H are connected in parallel. If this combination is connected in series with an inductor of inductance 0.76 H. The equivalent inductance of the circuit will be (nearly)

1. 2 H
2. 1 H
3. 0.2 H
4. 0.1 H

Q. In which of the following circuits, is the current maximum, just after the switch $\left(\text{S}\right)$ is closed?

1. $\left(i\right)$
2. $\left(ii\right)$
3. $\left(iii\right)$
4. Data insufficient

Q. Two capacitors $C_1$ and $C_2$ are connected in series, assume that $C_1<C_2$. The equivalent capacitance of this arrangement is $C$, where

1. $C_1<C<C_2$
2. $C<C_1/2$
3. $C_1/2<C<C_1$
4. $C_2<C<2C_2$

Q. Six equal capacitors each of capacitance C are connected as shown in the figure. The equivalent capacitance between points A and B is :

1. 1.5 C
2. C
3. 0.5C
4. 2C

Q. Pure inductance of 3.0 H is connected as shown below. The equivalent inductance of the circuit is

1. 1 H
2. 2 H
3. 3 H
4. 9 H

Q. Three pure inductances each of $3\text{H}$ are connected as shown in fig. The equivalent inductance between points $A$ and $B$ is

1. $1\text{H}$
2. $2\text{H}$
3. $3\text{H}$
4. $9\text{H}$

Q. Find the equivalent capacitance across AB (all capacitances in $\mu$ F) :

1. $\frac{20}{3}\mu F$
2. $9\mu F$
3. $48\mu F$
4. None of these

Q. Pure inductance of 3.0 H is connected as shown below. The equivalent inductance of the circuit is

1. 1 H
2. 2 H
3. 3 H
4. 9 H

Q. The inductor arrangement shown in the figure, with $L_1=50mH$, $L_2=80mH$, $L_3=20mH$ and $L_4=15mH$, is to be connected to varying current source. What is the equivalent inductance of the arrangement?

1. $18mH$
2. $71mH$
3. $55mH$
4. $81mH$

Q.

The equivalent capacity between the points ‘A’ and ‘B’ in the following figure will be:

1. $9\mu F$
2. $1\mu F$
3. $4.5\mu F$
4. $6\mu F$

Q. Seven capacitors, each of capacitance $2\mu F$ are to be connected to obtain a capacitance of $10/11\mu F$. Which of the following combinations is possible?

1. $3$ in parallel $4$ in series
2. $2$ in parallel $5$ in series
3. $5$ in parallel $2$ in series
4. $4$ in parallel $3$ in series

Q. The magnetic potential energy stored in a certain inductor is $25\text{mJ}$, When the current in the inductor is $60\text{mA}$ This inductor is of inductance-

1. $0.138\text{H}$
2. $138.88\text{H}$
3. $1.389\text{H}$
4. $13.89\text{H}$

Q. An enquiring physics student connects a cell to a circuit and measures the current drawn from the cell to $I_1$. When he joins a second identical cell in series with the first, the current becomes $I_2$. When the cells are connected in parallel, the current through the circuit is $I_3$. Show that relation between the current is $3I_3{I}_2=2I_1(I_2+I_3)$.

Q. The equivalent inductance of two inductors is $2.4H$ when connected in parallel and 10 H when connected in series. What is the value of inductances of the individual inductors?

1. $7H,3H$
2. $6H,4H$
3. $5H,5H$
4. $8H,2H$

Q. Three pure inductance are connected as shown in the $Fig.26.70$. The equivalent inductance of the circuit is

1. $2.25H$
2. $2.75H$
3. $2.00H$
4. $1.75H$

Q.

Two inductors each equal to $L$ are joined in parallel. The equivalent inductance is

1. $L$
2. $2L$
3. $\text{zero}$
4. $\frac{L}{2}$

Q. To get an output $Y=1$ from the circuit shown, the input $A,B$ and $C$ must be respectively.

1. $0,1,0$
2. $1,1,0$
3. $1,0,0$
4. $1,0,1$

Q. This circuit is equivalent to a single inductor having inductance $L_{eq}$ $=18H$ . Determine the value of the inductance $L$.

1. $20H$
2. $40H$
3. $60H$
4. $80H$