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

154952 Magnetic field induction at the centre of a circular coil of radius $5 \mathrm{~cm}$ and carrying a current $0.9 \mathrm{~A}$ is (in SI units)
$\left(\varepsilon_{0}=\right.$ absolute permittivity of air in SI units velocity of light $=3 \times 10^{8} \mathrm{~ms}^{-1}$ )

1 $\frac{1}{\varepsilon_{0} 10^{16}}$
2 $\frac{10^{16}}{\varepsilon_{0}}$
3 $\frac{\varepsilon_{0}}{10^{16}}$
4 $10^{16} \varepsilon_{0}$
Electro Magnetic Induction

154953 Two concentric coils of 10 turns each are placed in the same plane. Their radii are $20 \mathrm{~cm}$ and $40 \mathrm{~cm}$ and carry $0.2 \mathrm{~A}$ and $0.3 \mathrm{~A}$ current respectively in opposite directions. The magnetic induction (in $\mathrm{T}$ ) at the centre is

1 $\frac{3}{4} \mu_{0}$
2 $\frac{5}{4} \mu_{0}$
3 $\frac{7}{4} \mu_{0}$
4 $\frac{9}{4} \mu_{0}$
Electro Magnetic Induction

154954 An electron beam is allowed to pass normally through magnetic and electric fields which are mutually perpendicular. When the magnetic field induction and electric field strength are $0.0004 \mathrm{Wbm}^{-2}$ and $3000 \mathrm{Vm}^{-1}$ respectively, the beam suffers no deflection. Then, the velocity of electron is

1 $7.5 \times 10^{6} \mathrm{~ms}^{-1}$
2 $7.5 \times 10^{4} \mathrm{~ms}^{-1}$
3 $7.5 \times 10^{2} \mathrm{~ms}^{-1}$
4 $1.2 \times 10^{6} \mathrm{~ms}^{-1}$
Electro Magnetic Induction

154955 A circular coil of radius $r$, having number of turns $n$ and carrying current I produces magnetic induction at its centre of magnitude $B$, B can be doubled by:

1 keeping the number of turns $\mathrm{n}$ and changing current to $\mathrm{I} / 2$
2 changing the number of turns to $n / 2$ and keeping current at I
3 simultaneously changing the number of turns and current to $2 \mathrm{n}$ and $2 \mathrm{I}$
4 keeping the current I and changing number of turns to $2 n$
Electro Magnetic Induction

154952 Magnetic field induction at the centre of a circular coil of radius $5 \mathrm{~cm}$ and carrying a current $0.9 \mathrm{~A}$ is (in SI units)
$\left(\varepsilon_{0}=\right.$ absolute permittivity of air in SI units velocity of light $=3 \times 10^{8} \mathrm{~ms}^{-1}$ )

1 $\frac{1}{\varepsilon_{0} 10^{16}}$
2 $\frac{10^{16}}{\varepsilon_{0}}$
3 $\frac{\varepsilon_{0}}{10^{16}}$
4 $10^{16} \varepsilon_{0}$
Electro Magnetic Induction

154953 Two concentric coils of 10 turns each are placed in the same plane. Their radii are $20 \mathrm{~cm}$ and $40 \mathrm{~cm}$ and carry $0.2 \mathrm{~A}$ and $0.3 \mathrm{~A}$ current respectively in opposite directions. The magnetic induction (in $\mathrm{T}$ ) at the centre is

1 $\frac{3}{4} \mu_{0}$
2 $\frac{5}{4} \mu_{0}$
3 $\frac{7}{4} \mu_{0}$
4 $\frac{9}{4} \mu_{0}$
Electro Magnetic Induction

154954 An electron beam is allowed to pass normally through magnetic and electric fields which are mutually perpendicular. When the magnetic field induction and electric field strength are $0.0004 \mathrm{Wbm}^{-2}$ and $3000 \mathrm{Vm}^{-1}$ respectively, the beam suffers no deflection. Then, the velocity of electron is

1 $7.5 \times 10^{6} \mathrm{~ms}^{-1}$
2 $7.5 \times 10^{4} \mathrm{~ms}^{-1}$
3 $7.5 \times 10^{2} \mathrm{~ms}^{-1}$
4 $1.2 \times 10^{6} \mathrm{~ms}^{-1}$
Electro Magnetic Induction

154955 A circular coil of radius $r$, having number of turns $n$ and carrying current I produces magnetic induction at its centre of magnitude $B$, B can be doubled by:

1 keeping the number of turns $\mathrm{n}$ and changing current to $\mathrm{I} / 2$
2 changing the number of turns to $n / 2$ and keeping current at I
3 simultaneously changing the number of turns and current to $2 \mathrm{n}$ and $2 \mathrm{I}$
4 keeping the current I and changing number of turns to $2 n$
Electro Magnetic Induction

154952 Magnetic field induction at the centre of a circular coil of radius $5 \mathrm{~cm}$ and carrying a current $0.9 \mathrm{~A}$ is (in SI units)
$\left(\varepsilon_{0}=\right.$ absolute permittivity of air in SI units velocity of light $=3 \times 10^{8} \mathrm{~ms}^{-1}$ )

1 $\frac{1}{\varepsilon_{0} 10^{16}}$
2 $\frac{10^{16}}{\varepsilon_{0}}$
3 $\frac{\varepsilon_{0}}{10^{16}}$
4 $10^{16} \varepsilon_{0}$
Electro Magnetic Induction

154953 Two concentric coils of 10 turns each are placed in the same plane. Their radii are $20 \mathrm{~cm}$ and $40 \mathrm{~cm}$ and carry $0.2 \mathrm{~A}$ and $0.3 \mathrm{~A}$ current respectively in opposite directions. The magnetic induction (in $\mathrm{T}$ ) at the centre is

1 $\frac{3}{4} \mu_{0}$
2 $\frac{5}{4} \mu_{0}$
3 $\frac{7}{4} \mu_{0}$
4 $\frac{9}{4} \mu_{0}$
Electro Magnetic Induction

154954 An electron beam is allowed to pass normally through magnetic and electric fields which are mutually perpendicular. When the magnetic field induction and electric field strength are $0.0004 \mathrm{Wbm}^{-2}$ and $3000 \mathrm{Vm}^{-1}$ respectively, the beam suffers no deflection. Then, the velocity of electron is

1 $7.5 \times 10^{6} \mathrm{~ms}^{-1}$
2 $7.5 \times 10^{4} \mathrm{~ms}^{-1}$
3 $7.5 \times 10^{2} \mathrm{~ms}^{-1}$
4 $1.2 \times 10^{6} \mathrm{~ms}^{-1}$
Electro Magnetic Induction

154955 A circular coil of radius $r$, having number of turns $n$ and carrying current I produces magnetic induction at its centre of magnitude $B$, B can be doubled by:

1 keeping the number of turns $\mathrm{n}$ and changing current to $\mathrm{I} / 2$
2 changing the number of turns to $n / 2$ and keeping current at I
3 simultaneously changing the number of turns and current to $2 \mathrm{n}$ and $2 \mathrm{I}$
4 keeping the current I and changing number of turns to $2 n$
Electro Magnetic Induction

154952 Magnetic field induction at the centre of a circular coil of radius $5 \mathrm{~cm}$ and carrying a current $0.9 \mathrm{~A}$ is (in SI units)
$\left(\varepsilon_{0}=\right.$ absolute permittivity of air in SI units velocity of light $=3 \times 10^{8} \mathrm{~ms}^{-1}$ )

1 $\frac{1}{\varepsilon_{0} 10^{16}}$
2 $\frac{10^{16}}{\varepsilon_{0}}$
3 $\frac{\varepsilon_{0}}{10^{16}}$
4 $10^{16} \varepsilon_{0}$
Electro Magnetic Induction

154953 Two concentric coils of 10 turns each are placed in the same plane. Their radii are $20 \mathrm{~cm}$ and $40 \mathrm{~cm}$ and carry $0.2 \mathrm{~A}$ and $0.3 \mathrm{~A}$ current respectively in opposite directions. The magnetic induction (in $\mathrm{T}$ ) at the centre is

1 $\frac{3}{4} \mu_{0}$
2 $\frac{5}{4} \mu_{0}$
3 $\frac{7}{4} \mu_{0}$
4 $\frac{9}{4} \mu_{0}$
Electro Magnetic Induction

154954 An electron beam is allowed to pass normally through magnetic and electric fields which are mutually perpendicular. When the magnetic field induction and electric field strength are $0.0004 \mathrm{Wbm}^{-2}$ and $3000 \mathrm{Vm}^{-1}$ respectively, the beam suffers no deflection. Then, the velocity of electron is

1 $7.5 \times 10^{6} \mathrm{~ms}^{-1}$
2 $7.5 \times 10^{4} \mathrm{~ms}^{-1}$
3 $7.5 \times 10^{2} \mathrm{~ms}^{-1}$
4 $1.2 \times 10^{6} \mathrm{~ms}^{-1}$
Electro Magnetic Induction

154955 A circular coil of radius $r$, having number of turns $n$ and carrying current I produces magnetic induction at its centre of magnitude $B$, B can be doubled by:

1 keeping the number of turns $\mathrm{n}$ and changing current to $\mathrm{I} / 2$
2 changing the number of turns to $n / 2$ and keeping current at I
3 simultaneously changing the number of turns and current to $2 \mathrm{n}$ and $2 \mathrm{I}$
4 keeping the current I and changing number of turns to $2 n$
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