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

154755 The coefficient of self-induction of a closely wound coil of 100 turns and area of crosssection $1 \mathrm{~cm}^{2}$ is $1 \mathrm{mH}$. Find the magnetic induction at the centre of its core when a current of 2 A flows in it.

1 $0.022 \mathrm{~Wb} . \mathrm{m}^{-2}$
2 $0.4 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
3 $0.8 \mathrm{~Wb} . \mathrm{m}^{-2}$
4 $1.0 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
Electro Magnetic Induction

154756 The self-inductance of coil is $L$. Keeping the length and area same, the number of turns in the coil is increased to four times. The new selfinduction of the coil will be

1 $4 \mathrm{~L}$
2 $8 \mathrm{~L}$
3 $16 \mathrm{~L}$
4 $12 \mathrm{~L}$
Electro Magnetic Induction

154757 A coil having zero resistance is connected in series with a $90 \quad \Omega$ resistance and the combination is connected to $120 \mathrm{~V} .60 \mathrm{~Hz}$ line. A voltmeter reads $36 \mathrm{~V}$ across the resistance and $114 \mathrm{~V}$ across the coil. The self-inductance of the coil is

1 $\frac{16 \pi}{38}$
2 $\frac{38}{16 \pi}$
3 $\frac{30}{16 \pi}$
4 $\frac{16 \pi}{30}$
5 $\frac{57}{24 \pi}$
Electro Magnetic Induction

154761 The coefficient of mutual induction is $2 \mathrm{H}$ and induced e.m.f. across secondary is $2 \mathrm{kV}$, Current in the primary is reduced from $6 \mathrm{~A}$ to 3 A. The time required for the change of current is

1 $3 \times 10^{-3} \mathrm{~s}$
2 $5 \times 10^{-3} \mathrm{~s}$
3 $4 \times 10^{-3} \mathrm{~s}$
4 $6 \times 10^{-3} \mathrm{~s}$
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Electro Magnetic Induction

154755 The coefficient of self-induction of a closely wound coil of 100 turns and area of crosssection $1 \mathrm{~cm}^{2}$ is $1 \mathrm{mH}$. Find the magnetic induction at the centre of its core when a current of 2 A flows in it.

1 $0.022 \mathrm{~Wb} . \mathrm{m}^{-2}$
2 $0.4 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
3 $0.8 \mathrm{~Wb} . \mathrm{m}^{-2}$
4 $1.0 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
Electro Magnetic Induction

154756 The self-inductance of coil is $L$. Keeping the length and area same, the number of turns in the coil is increased to four times. The new selfinduction of the coil will be

1 $4 \mathrm{~L}$
2 $8 \mathrm{~L}$
3 $16 \mathrm{~L}$
4 $12 \mathrm{~L}$
Electro Magnetic Induction

154757 A coil having zero resistance is connected in series with a $90 \quad \Omega$ resistance and the combination is connected to $120 \mathrm{~V} .60 \mathrm{~Hz}$ line. A voltmeter reads $36 \mathrm{~V}$ across the resistance and $114 \mathrm{~V}$ across the coil. The self-inductance of the coil is

1 $\frac{16 \pi}{38}$
2 $\frac{38}{16 \pi}$
3 $\frac{30}{16 \pi}$
4 $\frac{16 \pi}{30}$
5 $\frac{57}{24 \pi}$
Electro Magnetic Induction

154761 The coefficient of mutual induction is $2 \mathrm{H}$ and induced e.m.f. across secondary is $2 \mathrm{kV}$, Current in the primary is reduced from $6 \mathrm{~A}$ to 3 A. The time required for the change of current is

1 $3 \times 10^{-3} \mathrm{~s}$
2 $5 \times 10^{-3} \mathrm{~s}$
3 $4 \times 10^{-3} \mathrm{~s}$
4 $6 \times 10^{-3} \mathrm{~s}$
Electro Magnetic Induction

154755 The coefficient of self-induction of a closely wound coil of 100 turns and area of crosssection $1 \mathrm{~cm}^{2}$ is $1 \mathrm{mH}$. Find the magnetic induction at the centre of its core when a current of 2 A flows in it.

1 $0.022 \mathrm{~Wb} . \mathrm{m}^{-2}$
2 $0.4 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
3 $0.8 \mathrm{~Wb} . \mathrm{m}^{-2}$
4 $1.0 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
Electro Magnetic Induction

154756 The self-inductance of coil is $L$. Keeping the length and area same, the number of turns in the coil is increased to four times. The new selfinduction of the coil will be

1 $4 \mathrm{~L}$
2 $8 \mathrm{~L}$
3 $16 \mathrm{~L}$
4 $12 \mathrm{~L}$
Electro Magnetic Induction

154757 A coil having zero resistance is connected in series with a $90 \quad \Omega$ resistance and the combination is connected to $120 \mathrm{~V} .60 \mathrm{~Hz}$ line. A voltmeter reads $36 \mathrm{~V}$ across the resistance and $114 \mathrm{~V}$ across the coil. The self-inductance of the coil is

1 $\frac{16 \pi}{38}$
2 $\frac{38}{16 \pi}$
3 $\frac{30}{16 \pi}$
4 $\frac{16 \pi}{30}$
5 $\frac{57}{24 \pi}$
Electro Magnetic Induction

154761 The coefficient of mutual induction is $2 \mathrm{H}$ and induced e.m.f. across secondary is $2 \mathrm{kV}$, Current in the primary is reduced from $6 \mathrm{~A}$ to 3 A. The time required for the change of current is

1 $3 \times 10^{-3} \mathrm{~s}$
2 $5 \times 10^{-3} \mathrm{~s}$
3 $4 \times 10^{-3} \mathrm{~s}$
4 $6 \times 10^{-3} \mathrm{~s}$
Electro Magnetic Induction

154755 The coefficient of self-induction of a closely wound coil of 100 turns and area of crosssection $1 \mathrm{~cm}^{2}$ is $1 \mathrm{mH}$. Find the magnetic induction at the centre of its core when a current of 2 A flows in it.

1 $0.022 \mathrm{~Wb} . \mathrm{m}^{-2}$
2 $0.4 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
3 $0.8 \mathrm{~Wb} . \mathrm{m}^{-2}$
4 $1.0 \mathrm{~Wb} \cdot \mathrm{m}^{-2}$
Electro Magnetic Induction

154756 The self-inductance of coil is $L$. Keeping the length and area same, the number of turns in the coil is increased to four times. The new selfinduction of the coil will be

1 $4 \mathrm{~L}$
2 $8 \mathrm{~L}$
3 $16 \mathrm{~L}$
4 $12 \mathrm{~L}$
Electro Magnetic Induction

154757 A coil having zero resistance is connected in series with a $90 \quad \Omega$ resistance and the combination is connected to $120 \mathrm{~V} .60 \mathrm{~Hz}$ line. A voltmeter reads $36 \mathrm{~V}$ across the resistance and $114 \mathrm{~V}$ across the coil. The self-inductance of the coil is

1 $\frac{16 \pi}{38}$
2 $\frac{38}{16 \pi}$
3 $\frac{30}{16 \pi}$
4 $\frac{16 \pi}{30}$
5 $\frac{57}{24 \pi}$
Electro Magnetic Induction

154761 The coefficient of mutual induction is $2 \mathrm{H}$ and induced e.m.f. across secondary is $2 \mathrm{kV}$, Current in the primary is reduced from $6 \mathrm{~A}$ to 3 A. The time required for the change of current is

1 $3 \times 10^{-3} \mathrm{~s}$
2 $5 \times 10^{-3} \mathrm{~s}$
3 $4 \times 10^{-3} \mathrm{~s}$
4 $6 \times 10^{-3} \mathrm{~s}$