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

154768 Two concentric circular coils having radii $r_{1}$ and $r_{2},\left(r_{2} \ll r_{1}\right)$ are placed co-axially with centres coinciding. The mutual induction of the arrangement is (Both coils have single turn) $\left(\mu_{0}\right.$ $=$ permeability of free space)

1 $\frac{\mu_{0} \pi r_{1}^{2}}{2 r_{2}}$
2 $\frac{\mu_{0} \pi r_{2}^{2}}{r_{1}}$
3 $\frac{\mu_{0} \pi r_{2}^{2}}{2 r_{1}}$
4 $\frac{\pi_{0} \pi r_{1}^{2}}{r_{2}}$
Electro Magnetic Induction

154769 A coil of wire of a certain radius has 100 turns and a self inductance of $15 \mathrm{mH}$. The self inductance of a second similar coil of 500 turns will be

1 $75 \mathrm{mH}$
2 $375 \mathrm{mH}$
3 $15 \mathrm{mH}$
4 None of these
Electro Magnetic Induction

154770 A coil of 100 turns carries a current of $5 \mathrm{~mA}$ and creates a magnetic flux of $10^{-5}$ Weber. The inductance is

1 $0.2 \mathrm{mH}$
2 $2.0 \mathrm{mH}$
3 $0.02 \mathrm{mH}$
4 none of these.
Electro Magnetic Induction

154771 Figure shows the cross-sectional view of the hollow cylindrical conductor with inner radius $R$ and outer radius $2 R$, carrying uniformly distributed current $i$ along its axis. The magnetic induction at point $P$ at a distance $3 R / 2$ from the axis of the cylinder will be

1 zero
2 $\frac{5 \mu_{0} \mathrm{i}}{72 \pi \mathrm{R}}$
3 $\frac{7 \mu_{0} \mathrm{i}}{18 \pi \mathrm{R}}$
4 $\frac{5 \mu_{0} \mathrm{i}}{36 \pi \mathrm{R}}$
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Electro Magnetic Induction

154768 Two concentric circular coils having radii $r_{1}$ and $r_{2},\left(r_{2} \ll r_{1}\right)$ are placed co-axially with centres coinciding. The mutual induction of the arrangement is (Both coils have single turn) $\left(\mu_{0}\right.$ $=$ permeability of free space)

1 $\frac{\mu_{0} \pi r_{1}^{2}}{2 r_{2}}$
2 $\frac{\mu_{0} \pi r_{2}^{2}}{r_{1}}$
3 $\frac{\mu_{0} \pi r_{2}^{2}}{2 r_{1}}$
4 $\frac{\pi_{0} \pi r_{1}^{2}}{r_{2}}$
Electro Magnetic Induction

154769 A coil of wire of a certain radius has 100 turns and a self inductance of $15 \mathrm{mH}$. The self inductance of a second similar coil of 500 turns will be

1 $75 \mathrm{mH}$
2 $375 \mathrm{mH}$
3 $15 \mathrm{mH}$
4 None of these
Electro Magnetic Induction

154770 A coil of 100 turns carries a current of $5 \mathrm{~mA}$ and creates a magnetic flux of $10^{-5}$ Weber. The inductance is

1 $0.2 \mathrm{mH}$
2 $2.0 \mathrm{mH}$
3 $0.02 \mathrm{mH}$
4 none of these.
Electro Magnetic Induction

154771 Figure shows the cross-sectional view of the hollow cylindrical conductor with inner radius $R$ and outer radius $2 R$, carrying uniformly distributed current $i$ along its axis. The magnetic induction at point $P$ at a distance $3 R / 2$ from the axis of the cylinder will be

1 zero
2 $\frac{5 \mu_{0} \mathrm{i}}{72 \pi \mathrm{R}}$
3 $\frac{7 \mu_{0} \mathrm{i}}{18 \pi \mathrm{R}}$
4 $\frac{5 \mu_{0} \mathrm{i}}{36 \pi \mathrm{R}}$
Electro Magnetic Induction

154768 Two concentric circular coils having radii $r_{1}$ and $r_{2},\left(r_{2} \ll r_{1}\right)$ are placed co-axially with centres coinciding. The mutual induction of the arrangement is (Both coils have single turn) $\left(\mu_{0}\right.$ $=$ permeability of free space)

1 $\frac{\mu_{0} \pi r_{1}^{2}}{2 r_{2}}$
2 $\frac{\mu_{0} \pi r_{2}^{2}}{r_{1}}$
3 $\frac{\mu_{0} \pi r_{2}^{2}}{2 r_{1}}$
4 $\frac{\pi_{0} \pi r_{1}^{2}}{r_{2}}$
Electro Magnetic Induction

154769 A coil of wire of a certain radius has 100 turns and a self inductance of $15 \mathrm{mH}$. The self inductance of a second similar coil of 500 turns will be

1 $75 \mathrm{mH}$
2 $375 \mathrm{mH}$
3 $15 \mathrm{mH}$
4 None of these
Electro Magnetic Induction

154770 A coil of 100 turns carries a current of $5 \mathrm{~mA}$ and creates a magnetic flux of $10^{-5}$ Weber. The inductance is

1 $0.2 \mathrm{mH}$
2 $2.0 \mathrm{mH}$
3 $0.02 \mathrm{mH}$
4 none of these.
Electro Magnetic Induction

154771 Figure shows the cross-sectional view of the hollow cylindrical conductor with inner radius $R$ and outer radius $2 R$, carrying uniformly distributed current $i$ along its axis. The magnetic induction at point $P$ at a distance $3 R / 2$ from the axis of the cylinder will be

1 zero
2 $\frac{5 \mu_{0} \mathrm{i}}{72 \pi \mathrm{R}}$
3 $\frac{7 \mu_{0} \mathrm{i}}{18 \pi \mathrm{R}}$
4 $\frac{5 \mu_{0} \mathrm{i}}{36 \pi \mathrm{R}}$
Electro Magnetic Induction

154768 Two concentric circular coils having radii $r_{1}$ and $r_{2},\left(r_{2} \ll r_{1}\right)$ are placed co-axially with centres coinciding. The mutual induction of the arrangement is (Both coils have single turn) $\left(\mu_{0}\right.$ $=$ permeability of free space)

1 $\frac{\mu_{0} \pi r_{1}^{2}}{2 r_{2}}$
2 $\frac{\mu_{0} \pi r_{2}^{2}}{r_{1}}$
3 $\frac{\mu_{0} \pi r_{2}^{2}}{2 r_{1}}$
4 $\frac{\pi_{0} \pi r_{1}^{2}}{r_{2}}$
Electro Magnetic Induction

154769 A coil of wire of a certain radius has 100 turns and a self inductance of $15 \mathrm{mH}$. The self inductance of a second similar coil of 500 turns will be

1 $75 \mathrm{mH}$
2 $375 \mathrm{mH}$
3 $15 \mathrm{mH}$
4 None of these
Electro Magnetic Induction

154770 A coil of 100 turns carries a current of $5 \mathrm{~mA}$ and creates a magnetic flux of $10^{-5}$ Weber. The inductance is

1 $0.2 \mathrm{mH}$
2 $2.0 \mathrm{mH}$
3 $0.02 \mathrm{mH}$
4 none of these.
Electro Magnetic Induction

154771 Figure shows the cross-sectional view of the hollow cylindrical conductor with inner radius $R$ and outer radius $2 R$, carrying uniformly distributed current $i$ along its axis. The magnetic induction at point $P$ at a distance $3 R / 2$ from the axis of the cylinder will be

1 zero
2 $\frac{5 \mu_{0} \mathrm{i}}{72 \pi \mathrm{R}}$
3 $\frac{7 \mu_{0} \mathrm{i}}{18 \pi \mathrm{R}}$
4 $\frac{5 \mu_{0} \mathrm{i}}{36 \pi \mathrm{R}}$