03. Inductance (Self and Mutual Induction)
Electro Magnetic Induction

154729 Two long parallel straight metal wires $A$ and $B$ carrying currents $12 \mathrm{~A}$ and $36 \mathrm{~A}$ respectively, in the same direction are separated by $50 \mathrm{~cm}$. The point relative to $A$, where the resultant magnetic induction between the two wires due to the currents is zero, will be

1 $90 \mathrm{~cm}$
2 $7.5 \mathrm{~cm}$
3 $28 \mathrm{~cm}$
4 $12.5 \mathrm{~cm}$:
Electro Magnetic Induction

154730 A plane electromagnetic wave travels in free space along $z$ - axis. At a particular point in space, the electric field along $x$-axis is $8.7 \mathrm{Vm}^{-1}$. The magnetic field along $\mathbf{y}$ - axis is

1 $2.9 \times 10^{-8} \mathrm{~T}$
2 $3 \times 10^{-6} \mathrm{~T}$
3 $8.7 \times 10^{-6} \mathrm{~T}$
4 $3 \times 10^{-5} \mathrm{~T}$
Electro Magnetic Induction

154732 The current in a coil of self inductance $2.0 \mathrm{H}$ is increasing according to $I=2 \sin \left(\mathrm{t}^{2}\right) A$. The amount of energy spent during the period when current changes from 0 to $\mathrm{A}$ is J.

1 1
2 2
3 3
4 4
Electro Magnetic Induction

154733 A small square loop of wire of side $l$ is placed inside a large square loop of wire $L(L>>l)$. Both loop are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of the system is:

1 $\frac{2 \sqrt{2} \mu_{0} \mathrm{~L}^{2}}{\pi l}$
2 $\frac{\mu_{0} l^{2}}{2 \sqrt{2} \pi \mathrm{L}}$
3 $\frac{2 \sqrt{2} \mu_{0} l^{2}}{\pi \mathrm{L}}$
4 $\frac{\mu_{0} \mathrm{~L}^{2}}{2 \sqrt{2} \pi l}$
Electro Magnetic Induction

154729 Two long parallel straight metal wires $A$ and $B$ carrying currents $12 \mathrm{~A}$ and $36 \mathrm{~A}$ respectively, in the same direction are separated by $50 \mathrm{~cm}$. The point relative to $A$, where the resultant magnetic induction between the two wires due to the currents is zero, will be

1 $90 \mathrm{~cm}$
2 $7.5 \mathrm{~cm}$
3 $28 \mathrm{~cm}$
4 $12.5 \mathrm{~cm}$:
Electro Magnetic Induction

154730 A plane electromagnetic wave travels in free space along $z$ - axis. At a particular point in space, the electric field along $x$-axis is $8.7 \mathrm{Vm}^{-1}$. The magnetic field along $\mathbf{y}$ - axis is

1 $2.9 \times 10^{-8} \mathrm{~T}$
2 $3 \times 10^{-6} \mathrm{~T}$
3 $8.7 \times 10^{-6} \mathrm{~T}$
4 $3 \times 10^{-5} \mathrm{~T}$
Electro Magnetic Induction

154732 The current in a coil of self inductance $2.0 \mathrm{H}$ is increasing according to $I=2 \sin \left(\mathrm{t}^{2}\right) A$. The amount of energy spent during the period when current changes from 0 to $\mathrm{A}$ is J.

1 1
2 2
3 3
4 4
Electro Magnetic Induction

154733 A small square loop of wire of side $l$ is placed inside a large square loop of wire $L(L>>l)$. Both loop are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of the system is:

1 $\frac{2 \sqrt{2} \mu_{0} \mathrm{~L}^{2}}{\pi l}$
2 $\frac{\mu_{0} l^{2}}{2 \sqrt{2} \pi \mathrm{L}}$
3 $\frac{2 \sqrt{2} \mu_{0} l^{2}}{\pi \mathrm{L}}$
4 $\frac{\mu_{0} \mathrm{~L}^{2}}{2 \sqrt{2} \pi l}$
Electro Magnetic Induction

154729 Two long parallel straight metal wires $A$ and $B$ carrying currents $12 \mathrm{~A}$ and $36 \mathrm{~A}$ respectively, in the same direction are separated by $50 \mathrm{~cm}$. The point relative to $A$, where the resultant magnetic induction between the two wires due to the currents is zero, will be

1 $90 \mathrm{~cm}$
2 $7.5 \mathrm{~cm}$
3 $28 \mathrm{~cm}$
4 $12.5 \mathrm{~cm}$:
Electro Magnetic Induction

154730 A plane electromagnetic wave travels in free space along $z$ - axis. At a particular point in space, the electric field along $x$-axis is $8.7 \mathrm{Vm}^{-1}$. The magnetic field along $\mathbf{y}$ - axis is

1 $2.9 \times 10^{-8} \mathrm{~T}$
2 $3 \times 10^{-6} \mathrm{~T}$
3 $8.7 \times 10^{-6} \mathrm{~T}$
4 $3 \times 10^{-5} \mathrm{~T}$
Electro Magnetic Induction

154732 The current in a coil of self inductance $2.0 \mathrm{H}$ is increasing according to $I=2 \sin \left(\mathrm{t}^{2}\right) A$. The amount of energy spent during the period when current changes from 0 to $\mathrm{A}$ is J.

1 1
2 2
3 3
4 4
Electro Magnetic Induction

154733 A small square loop of wire of side $l$ is placed inside a large square loop of wire $L(L>>l)$. Both loop are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of the system is:

1 $\frac{2 \sqrt{2} \mu_{0} \mathrm{~L}^{2}}{\pi l}$
2 $\frac{\mu_{0} l^{2}}{2 \sqrt{2} \pi \mathrm{L}}$
3 $\frac{2 \sqrt{2} \mu_{0} l^{2}}{\pi \mathrm{L}}$
4 $\frac{\mu_{0} \mathrm{~L}^{2}}{2 \sqrt{2} \pi l}$
Electro Magnetic Induction

154729 Two long parallel straight metal wires $A$ and $B$ carrying currents $12 \mathrm{~A}$ and $36 \mathrm{~A}$ respectively, in the same direction are separated by $50 \mathrm{~cm}$. The point relative to $A$, where the resultant magnetic induction between the two wires due to the currents is zero, will be

1 $90 \mathrm{~cm}$
2 $7.5 \mathrm{~cm}$
3 $28 \mathrm{~cm}$
4 $12.5 \mathrm{~cm}$:
Electro Magnetic Induction

154730 A plane electromagnetic wave travels in free space along $z$ - axis. At a particular point in space, the electric field along $x$-axis is $8.7 \mathrm{Vm}^{-1}$. The magnetic field along $\mathbf{y}$ - axis is

1 $2.9 \times 10^{-8} \mathrm{~T}$
2 $3 \times 10^{-6} \mathrm{~T}$
3 $8.7 \times 10^{-6} \mathrm{~T}$
4 $3 \times 10^{-5} \mathrm{~T}$
Electro Magnetic Induction

154732 The current in a coil of self inductance $2.0 \mathrm{H}$ is increasing according to $I=2 \sin \left(\mathrm{t}^{2}\right) A$. The amount of energy spent during the period when current changes from 0 to $\mathrm{A}$ is J.

1 1
2 2
3 3
4 4
Electro Magnetic Induction

154733 A small square loop of wire of side $l$ is placed inside a large square loop of wire $L(L>>l)$. Both loop are coplanar and their centres coincide at point $O$ as shown in figure. The mutual inductance of the system is:

1 $\frac{2 \sqrt{2} \mu_{0} \mathrm{~L}^{2}}{\pi l}$
2 $\frac{\mu_{0} l^{2}}{2 \sqrt{2} \pi \mathrm{L}}$
3 $\frac{2 \sqrt{2} \mu_{0} l^{2}}{\pi \mathrm{L}}$
4 $\frac{\mu_{0} \mathrm{~L}^{2}}{2 \sqrt{2} \pi l}$