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

154840 A metal rod of length $1 \mathrm{~m}$ is rotated about one of its ends in a plane right angles to a field of inductance $2.5 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$. If it makes 1800 revolutions $/ \mathrm{min}$. Calculate induced e.m.f. between its ends.

1 $0.271 \mathrm{~V}$
2 $3.171 \mathrm{~V}$
3 $0.471 \mathrm{~V}$
4 $1.771 \mathrm{~V}$
Electro Magnetic Induction

154841 Two coaxial solenoids are made by winding thin insulated wire over a pipe of crosssectional area $A=10 \mathrm{~cm}^{2}$ and length $=20 \mathrm{~cm}$. If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is $\left(\mu_{0}=4 \pi \times 10^{-7} \mathbf{T m A}^{-1}\right)$

1 $2.4 \pi \times 10^{-5} \mathrm{H}$
2 $4.8 \pi \times 10^{-4} \mathrm{H}$
3 $4.8 \pi \times 10^{-5} \mathrm{H}$
4 $2.4 \pi \times 10^{-4} \mathrm{H}$
Electro Magnetic Induction

154842 A coil 10 turns and a resistance of $20 \Omega$ is connected in series with B.G of resistance $30 \Omega$. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction $10^{-2} \mathrm{~T}$. If it is now turned through an angle of $60^{\circ}$ about an axis in its plane. Find the charge induced in the coil. (Area of a coil $=10^{-2}$ $\mathbf{m}^{2}$ )

1 $2 \times 10^{-5} \mathrm{C}$
2 $3.2 \times 10^{-5} \mathrm{C}$
3 $1 \times 10^{-5} \mathrm{C}$
4 $5.5 \times 10^{-5} \mathrm{C}$
Electro Magnetic Induction

154844 Two circular coils can be arranged in any of the three following situation as shown in figure. Their mutual inductance will be
(A)
(B)
(C)

1 maximum (B)
2 maximum (A)
3 maximum (C)
4 same in all conditions
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Electro Magnetic Induction

154840 A metal rod of length $1 \mathrm{~m}$ is rotated about one of its ends in a plane right angles to a field of inductance $2.5 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$. If it makes 1800 revolutions $/ \mathrm{min}$. Calculate induced e.m.f. between its ends.

1 $0.271 \mathrm{~V}$
2 $3.171 \mathrm{~V}$
3 $0.471 \mathrm{~V}$
4 $1.771 \mathrm{~V}$
Electro Magnetic Induction

154841 Two coaxial solenoids are made by winding thin insulated wire over a pipe of crosssectional area $A=10 \mathrm{~cm}^{2}$ and length $=20 \mathrm{~cm}$. If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is $\left(\mu_{0}=4 \pi \times 10^{-7} \mathbf{T m A}^{-1}\right)$

1 $2.4 \pi \times 10^{-5} \mathrm{H}$
2 $4.8 \pi \times 10^{-4} \mathrm{H}$
3 $4.8 \pi \times 10^{-5} \mathrm{H}$
4 $2.4 \pi \times 10^{-4} \mathrm{H}$
Electro Magnetic Induction

154842 A coil 10 turns and a resistance of $20 \Omega$ is connected in series with B.G of resistance $30 \Omega$. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction $10^{-2} \mathrm{~T}$. If it is now turned through an angle of $60^{\circ}$ about an axis in its plane. Find the charge induced in the coil. (Area of a coil $=10^{-2}$ $\mathbf{m}^{2}$ )

1 $2 \times 10^{-5} \mathrm{C}$
2 $3.2 \times 10^{-5} \mathrm{C}$
3 $1 \times 10^{-5} \mathrm{C}$
4 $5.5 \times 10^{-5} \mathrm{C}$
Electro Magnetic Induction

154844 Two circular coils can be arranged in any of the three following situation as shown in figure. Their mutual inductance will be
(A)
(B)
(C)

1 maximum (B)
2 maximum (A)
3 maximum (C)
4 same in all conditions
Electro Magnetic Induction

154840 A metal rod of length $1 \mathrm{~m}$ is rotated about one of its ends in a plane right angles to a field of inductance $2.5 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$. If it makes 1800 revolutions $/ \mathrm{min}$. Calculate induced e.m.f. between its ends.

1 $0.271 \mathrm{~V}$
2 $3.171 \mathrm{~V}$
3 $0.471 \mathrm{~V}$
4 $1.771 \mathrm{~V}$
Electro Magnetic Induction

154841 Two coaxial solenoids are made by winding thin insulated wire over a pipe of crosssectional area $A=10 \mathrm{~cm}^{2}$ and length $=20 \mathrm{~cm}$. If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is $\left(\mu_{0}=4 \pi \times 10^{-7} \mathbf{T m A}^{-1}\right)$

1 $2.4 \pi \times 10^{-5} \mathrm{H}$
2 $4.8 \pi \times 10^{-4} \mathrm{H}$
3 $4.8 \pi \times 10^{-5} \mathrm{H}$
4 $2.4 \pi \times 10^{-4} \mathrm{H}$
Electro Magnetic Induction

154842 A coil 10 turns and a resistance of $20 \Omega$ is connected in series with B.G of resistance $30 \Omega$. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction $10^{-2} \mathrm{~T}$. If it is now turned through an angle of $60^{\circ}$ about an axis in its plane. Find the charge induced in the coil. (Area of a coil $=10^{-2}$ $\mathbf{m}^{2}$ )

1 $2 \times 10^{-5} \mathrm{C}$
2 $3.2 \times 10^{-5} \mathrm{C}$
3 $1 \times 10^{-5} \mathrm{C}$
4 $5.5 \times 10^{-5} \mathrm{C}$
Electro Magnetic Induction

154844 Two circular coils can be arranged in any of the three following situation as shown in figure. Their mutual inductance will be
(A)
(B)
(C)

1 maximum (B)
2 maximum (A)
3 maximum (C)
4 same in all conditions
Electro Magnetic Induction

154840 A metal rod of length $1 \mathrm{~m}$ is rotated about one of its ends in a plane right angles to a field of inductance $2.5 \times 10^{-3} \mathrm{~Wb} / \mathrm{m}^{2}$. If it makes 1800 revolutions $/ \mathrm{min}$. Calculate induced e.m.f. between its ends.

1 $0.271 \mathrm{~V}$
2 $3.171 \mathrm{~V}$
3 $0.471 \mathrm{~V}$
4 $1.771 \mathrm{~V}$
Electro Magnetic Induction

154841 Two coaxial solenoids are made by winding thin insulated wire over a pipe of crosssectional area $A=10 \mathrm{~cm}^{2}$ and length $=20 \mathrm{~cm}$. If one of the solenoid has 300 turns and the other 400 turns, their mutual inductance is $\left(\mu_{0}=4 \pi \times 10^{-7} \mathbf{T m A}^{-1}\right)$

1 $2.4 \pi \times 10^{-5} \mathrm{H}$
2 $4.8 \pi \times 10^{-4} \mathrm{H}$
3 $4.8 \pi \times 10^{-5} \mathrm{H}$
4 $2.4 \pi \times 10^{-4} \mathrm{H}$
Electro Magnetic Induction

154842 A coil 10 turns and a resistance of $20 \Omega$ is connected in series with B.G of resistance $30 \Omega$. The coil is placed with its plane perpendicular to the direction of a uniform magnetic field of induction $10^{-2} \mathrm{~T}$. If it is now turned through an angle of $60^{\circ}$ about an axis in its plane. Find the charge induced in the coil. (Area of a coil $=10^{-2}$ $\mathbf{m}^{2}$ )

1 $2 \times 10^{-5} \mathrm{C}$
2 $3.2 \times 10^{-5} \mathrm{C}$
3 $1 \times 10^{-5} \mathrm{C}$
4 $5.5 \times 10^{-5} \mathrm{C}$
Electro Magnetic Induction

154844 Two circular coils can be arranged in any of the three following situation as shown in figure. Their mutual inductance will be
(A)
(B)
(C)

1 maximum (B)
2 maximum (A)
3 maximum (C)
4 same in all conditions