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

154788 Two different coils have self inductance $L_{1}=$ $9 \mathrm{mH}$ and $L_{2}=3 \mathrm{mH}$. At a certain instant, the current in the two coils in increasing at the same rate and the power supplied to the coils in also the same. The ratio of the energy stored in the two coils $\left(U_{1} / U_{2}\right)$ at that instant is

1 $1 / 3$
2 1
3 3
4 27
Electro Magnetic Induction

154789 A conducting square loop is placed in a magnetic field ' $B$ ' with its plane perpendicular to the field. The sides of the loop start shrinking at a constant rate ' $\alpha$ '. The induced emf in the loop at an instant when its side is ' $a$ ' is

1 zero
2 a $\alpha B$
3 $\frac{\mathrm{a} \alpha \mathrm{B}}{2}$
4 $2 \mathrm{a} \alpha \mathrm{B}$
Electro Magnetic Induction

154791 Two coils have a mutual inductance $0.005 \mathrm{H}$. The current changes in the first coil according to the equation $I=i_{m} \sin \omega t$, where $i_{m}=10 \mathrm{~A}$ and $\omega=100 \pi \mathrm{rad} s^{-1}$. The maximum value of the emf induced in the second coil is :

1 $\pi$
2 $2 \pi$
3 $4 \pi$
4 $5 \pi$
Electro Magnetic Induction

154792 A metal disc of radius $100 \mathrm{~cm}$ is rotated at a constant angular speed of $60 \mathrm{rad} / \mathrm{s}$ in a plane at right angles to an external field of magnetic induction $0.05 \mathrm{~Wb} / \mathrm{m}^{2}$. The emf induced between the centre and a point on the rim will be

1 $3 \mathrm{~V}$
2 $1.5 \mathrm{~V}$
3 $6 \mathrm{~V}$
4 $9 \mathrm{~V}$
Electro Magnetic Induction

154788 Two different coils have self inductance $L_{1}=$ $9 \mathrm{mH}$ and $L_{2}=3 \mathrm{mH}$. At a certain instant, the current in the two coils in increasing at the same rate and the power supplied to the coils in also the same. The ratio of the energy stored in the two coils $\left(U_{1} / U_{2}\right)$ at that instant is

1 $1 / 3$
2 1
3 3
4 27
Electro Magnetic Induction

154789 A conducting square loop is placed in a magnetic field ' $B$ ' with its plane perpendicular to the field. The sides of the loop start shrinking at a constant rate ' $\alpha$ '. The induced emf in the loop at an instant when its side is ' $a$ ' is

1 zero
2 a $\alpha B$
3 $\frac{\mathrm{a} \alpha \mathrm{B}}{2}$
4 $2 \mathrm{a} \alpha \mathrm{B}$
Electro Magnetic Induction

154791 Two coils have a mutual inductance $0.005 \mathrm{H}$. The current changes in the first coil according to the equation $I=i_{m} \sin \omega t$, where $i_{m}=10 \mathrm{~A}$ and $\omega=100 \pi \mathrm{rad} s^{-1}$. The maximum value of the emf induced in the second coil is :

1 $\pi$
2 $2 \pi$
3 $4 \pi$
4 $5 \pi$
Electro Magnetic Induction

154792 A metal disc of radius $100 \mathrm{~cm}$ is rotated at a constant angular speed of $60 \mathrm{rad} / \mathrm{s}$ in a plane at right angles to an external field of magnetic induction $0.05 \mathrm{~Wb} / \mathrm{m}^{2}$. The emf induced between the centre and a point on the rim will be

1 $3 \mathrm{~V}$
2 $1.5 \mathrm{~V}$
3 $6 \mathrm{~V}$
4 $9 \mathrm{~V}$
Electro Magnetic Induction

154788 Two different coils have self inductance $L_{1}=$ $9 \mathrm{mH}$ and $L_{2}=3 \mathrm{mH}$. At a certain instant, the current in the two coils in increasing at the same rate and the power supplied to the coils in also the same. The ratio of the energy stored in the two coils $\left(U_{1} / U_{2}\right)$ at that instant is

1 $1 / 3$
2 1
3 3
4 27
Electro Magnetic Induction

154789 A conducting square loop is placed in a magnetic field ' $B$ ' with its plane perpendicular to the field. The sides of the loop start shrinking at a constant rate ' $\alpha$ '. The induced emf in the loop at an instant when its side is ' $a$ ' is

1 zero
2 a $\alpha B$
3 $\frac{\mathrm{a} \alpha \mathrm{B}}{2}$
4 $2 \mathrm{a} \alpha \mathrm{B}$
Electro Magnetic Induction

154791 Two coils have a mutual inductance $0.005 \mathrm{H}$. The current changes in the first coil according to the equation $I=i_{m} \sin \omega t$, where $i_{m}=10 \mathrm{~A}$ and $\omega=100 \pi \mathrm{rad} s^{-1}$. The maximum value of the emf induced in the second coil is :

1 $\pi$
2 $2 \pi$
3 $4 \pi$
4 $5 \pi$
Electro Magnetic Induction

154792 A metal disc of radius $100 \mathrm{~cm}$ is rotated at a constant angular speed of $60 \mathrm{rad} / \mathrm{s}$ in a plane at right angles to an external field of magnetic induction $0.05 \mathrm{~Wb} / \mathrm{m}^{2}$. The emf induced between the centre and a point on the rim will be

1 $3 \mathrm{~V}$
2 $1.5 \mathrm{~V}$
3 $6 \mathrm{~V}$
4 $9 \mathrm{~V}$
Electro Magnetic Induction

154788 Two different coils have self inductance $L_{1}=$ $9 \mathrm{mH}$ and $L_{2}=3 \mathrm{mH}$. At a certain instant, the current in the two coils in increasing at the same rate and the power supplied to the coils in also the same. The ratio of the energy stored in the two coils $\left(U_{1} / U_{2}\right)$ at that instant is

1 $1 / 3$
2 1
3 3
4 27
Electro Magnetic Induction

154789 A conducting square loop is placed in a magnetic field ' $B$ ' with its plane perpendicular to the field. The sides of the loop start shrinking at a constant rate ' $\alpha$ '. The induced emf in the loop at an instant when its side is ' $a$ ' is

1 zero
2 a $\alpha B$
3 $\frac{\mathrm{a} \alpha \mathrm{B}}{2}$
4 $2 \mathrm{a} \alpha \mathrm{B}$
Electro Magnetic Induction

154791 Two coils have a mutual inductance $0.005 \mathrm{H}$. The current changes in the first coil according to the equation $I=i_{m} \sin \omega t$, where $i_{m}=10 \mathrm{~A}$ and $\omega=100 \pi \mathrm{rad} s^{-1}$. The maximum value of the emf induced in the second coil is :

1 $\pi$
2 $2 \pi$
3 $4 \pi$
4 $5 \pi$
Electro Magnetic Induction

154792 A metal disc of radius $100 \mathrm{~cm}$ is rotated at a constant angular speed of $60 \mathrm{rad} / \mathrm{s}$ in a plane at right angles to an external field of magnetic induction $0.05 \mathrm{~Wb} / \mathrm{m}^{2}$. The emf induced between the centre and a point on the rim will be

1 $3 \mathrm{~V}$
2 $1.5 \mathrm{~V}$
3 $6 \mathrm{~V}$
4 $9 \mathrm{~V}$