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

154739 The currents in two coils of self- inductance 5 $\mathrm{mH}$ and $1 \mathrm{mH}$ are increasing at the same rate at a certain instant. The power supplied to the coils is also same. Then identify the false statement among the following

1 The ratio of induced emf 's is $5: 1$
2 The ratio of current in the coils is $1: 5$
3 The ratio of energy stored in the two coils at that instant is $1: 5$
4 The ratio of energy stored in the two coils at the instant is $9: 25$
Electro Magnetic Induction

154741 A magnetic field given by $B(t)=(0.2 t-0.05$ $\left.t^{2}\right) T$ is directed perpendicular to the plane of a circular coil containing 25 turns of radius 1.8 $\mathrm{cm}$ and whose total resistance is $5 \Omega$. The power dissipation at 3 seconds is nearly

1 $4 \mu \mathrm{W}$
2 $7 \mu \mathrm{W}$
3 $2.3 \mu \mathrm{W}$
4 $1.25 \mu \mathrm{W}$
5 $1.29 \mu \mathrm{W}$
Electro Magnetic Induction

154742 Equivalent inductance of two inductors is $2.4 \mathrm{H}$ when connected in parallel and $10 \mathrm{H}$ when connected in series. What is the value of inductance of the individual inductors?

1 $8 \mathrm{H} \& 2 \mathrm{H}$
2 $6 \mathrm{H} \& 4 \mathrm{H}$
3 $5 \mathrm{H} \& 5 \mathrm{H}$
4 $7 \mathrm{H} \& 3 \mathrm{H}$
Electro Magnetic Induction

154743 Find the equivalent inductance between $A$ and $B$ in the given circuit.

1 $1 \mathrm{H}$
2 $4 \mathrm{H}$
3 $0.8 \mathrm{H}$
4 $16 \mathrm{H}$
Electro Magnetic Induction

154744 Two inductors $A$ and $B$ when connected in parallel are equivalent to a single inductor of inductance $1.5 \mathrm{H}$, and when connected in series are equivalent to a single inductor of inductance $8 \mathrm{H}$. Find the difference in the inductances of $A$ and $B$.

1 $3 \mathrm{H}$
2 $7.5 \mathrm{H}$
3 $2 \mathrm{H}$
4 $4 \mathrm{H}$
Electro Magnetic Induction

154739 The currents in two coils of self- inductance 5 $\mathrm{mH}$ and $1 \mathrm{mH}$ are increasing at the same rate at a certain instant. The power supplied to the coils is also same. Then identify the false statement among the following

1 The ratio of induced emf 's is $5: 1$
2 The ratio of current in the coils is $1: 5$
3 The ratio of energy stored in the two coils at that instant is $1: 5$
4 The ratio of energy stored in the two coils at the instant is $9: 25$
Electro Magnetic Induction

154741 A magnetic field given by $B(t)=(0.2 t-0.05$ $\left.t^{2}\right) T$ is directed perpendicular to the plane of a circular coil containing 25 turns of radius 1.8 $\mathrm{cm}$ and whose total resistance is $5 \Omega$. The power dissipation at 3 seconds is nearly

1 $4 \mu \mathrm{W}$
2 $7 \mu \mathrm{W}$
3 $2.3 \mu \mathrm{W}$
4 $1.25 \mu \mathrm{W}$
5 $1.29 \mu \mathrm{W}$
Electro Magnetic Induction

154742 Equivalent inductance of two inductors is $2.4 \mathrm{H}$ when connected in parallel and $10 \mathrm{H}$ when connected in series. What is the value of inductance of the individual inductors?

1 $8 \mathrm{H} \& 2 \mathrm{H}$
2 $6 \mathrm{H} \& 4 \mathrm{H}$
3 $5 \mathrm{H} \& 5 \mathrm{H}$
4 $7 \mathrm{H} \& 3 \mathrm{H}$
Electro Magnetic Induction

154743 Find the equivalent inductance between $A$ and $B$ in the given circuit.

1 $1 \mathrm{H}$
2 $4 \mathrm{H}$
3 $0.8 \mathrm{H}$
4 $16 \mathrm{H}$
Electro Magnetic Induction

154744 Two inductors $A$ and $B$ when connected in parallel are equivalent to a single inductor of inductance $1.5 \mathrm{H}$, and when connected in series are equivalent to a single inductor of inductance $8 \mathrm{H}$. Find the difference in the inductances of $A$ and $B$.

1 $3 \mathrm{H}$
2 $7.5 \mathrm{H}$
3 $2 \mathrm{H}$
4 $4 \mathrm{H}$
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Electro Magnetic Induction

154739 The currents in two coils of self- inductance 5 $\mathrm{mH}$ and $1 \mathrm{mH}$ are increasing at the same rate at a certain instant. The power supplied to the coils is also same. Then identify the false statement among the following

1 The ratio of induced emf 's is $5: 1$
2 The ratio of current in the coils is $1: 5$
3 The ratio of energy stored in the two coils at that instant is $1: 5$
4 The ratio of energy stored in the two coils at the instant is $9: 25$
Electro Magnetic Induction

154741 A magnetic field given by $B(t)=(0.2 t-0.05$ $\left.t^{2}\right) T$ is directed perpendicular to the plane of a circular coil containing 25 turns of radius 1.8 $\mathrm{cm}$ and whose total resistance is $5 \Omega$. The power dissipation at 3 seconds is nearly

1 $4 \mu \mathrm{W}$
2 $7 \mu \mathrm{W}$
3 $2.3 \mu \mathrm{W}$
4 $1.25 \mu \mathrm{W}$
5 $1.29 \mu \mathrm{W}$
Electro Magnetic Induction

154742 Equivalent inductance of two inductors is $2.4 \mathrm{H}$ when connected in parallel and $10 \mathrm{H}$ when connected in series. What is the value of inductance of the individual inductors?

1 $8 \mathrm{H} \& 2 \mathrm{H}$
2 $6 \mathrm{H} \& 4 \mathrm{H}$
3 $5 \mathrm{H} \& 5 \mathrm{H}$
4 $7 \mathrm{H} \& 3 \mathrm{H}$
Electro Magnetic Induction

154743 Find the equivalent inductance between $A$ and $B$ in the given circuit.

1 $1 \mathrm{H}$
2 $4 \mathrm{H}$
3 $0.8 \mathrm{H}$
4 $16 \mathrm{H}$
Electro Magnetic Induction

154744 Two inductors $A$ and $B$ when connected in parallel are equivalent to a single inductor of inductance $1.5 \mathrm{H}$, and when connected in series are equivalent to a single inductor of inductance $8 \mathrm{H}$. Find the difference in the inductances of $A$ and $B$.

1 $3 \mathrm{H}$
2 $7.5 \mathrm{H}$
3 $2 \mathrm{H}$
4 $4 \mathrm{H}$
Electro Magnetic Induction

154739 The currents in two coils of self- inductance 5 $\mathrm{mH}$ and $1 \mathrm{mH}$ are increasing at the same rate at a certain instant. The power supplied to the coils is also same. Then identify the false statement among the following

1 The ratio of induced emf 's is $5: 1$
2 The ratio of current in the coils is $1: 5$
3 The ratio of energy stored in the two coils at that instant is $1: 5$
4 The ratio of energy stored in the two coils at the instant is $9: 25$
Electro Magnetic Induction

154741 A magnetic field given by $B(t)=(0.2 t-0.05$ $\left.t^{2}\right) T$ is directed perpendicular to the plane of a circular coil containing 25 turns of radius 1.8 $\mathrm{cm}$ and whose total resistance is $5 \Omega$. The power dissipation at 3 seconds is nearly

1 $4 \mu \mathrm{W}$
2 $7 \mu \mathrm{W}$
3 $2.3 \mu \mathrm{W}$
4 $1.25 \mu \mathrm{W}$
5 $1.29 \mu \mathrm{W}$
Electro Magnetic Induction

154742 Equivalent inductance of two inductors is $2.4 \mathrm{H}$ when connected in parallel and $10 \mathrm{H}$ when connected in series. What is the value of inductance of the individual inductors?

1 $8 \mathrm{H} \& 2 \mathrm{H}$
2 $6 \mathrm{H} \& 4 \mathrm{H}$
3 $5 \mathrm{H} \& 5 \mathrm{H}$
4 $7 \mathrm{H} \& 3 \mathrm{H}$
Electro Magnetic Induction

154743 Find the equivalent inductance between $A$ and $B$ in the given circuit.

1 $1 \mathrm{H}$
2 $4 \mathrm{H}$
3 $0.8 \mathrm{H}$
4 $16 \mathrm{H}$
Electro Magnetic Induction

154744 Two inductors $A$ and $B$ when connected in parallel are equivalent to a single inductor of inductance $1.5 \mathrm{H}$, and when connected in series are equivalent to a single inductor of inductance $8 \mathrm{H}$. Find the difference in the inductances of $A$ and $B$.

1 $3 \mathrm{H}$
2 $7.5 \mathrm{H}$
3 $2 \mathrm{H}$
4 $4 \mathrm{H}$
Electro Magnetic Induction

154739 The currents in two coils of self- inductance 5 $\mathrm{mH}$ and $1 \mathrm{mH}$ are increasing at the same rate at a certain instant. The power supplied to the coils is also same. Then identify the false statement among the following

1 The ratio of induced emf 's is $5: 1$
2 The ratio of current in the coils is $1: 5$
3 The ratio of energy stored in the two coils at that instant is $1: 5$
4 The ratio of energy stored in the two coils at the instant is $9: 25$
Electro Magnetic Induction

154741 A magnetic field given by $B(t)=(0.2 t-0.05$ $\left.t^{2}\right) T$ is directed perpendicular to the plane of a circular coil containing 25 turns of radius 1.8 $\mathrm{cm}$ and whose total resistance is $5 \Omega$. The power dissipation at 3 seconds is nearly

1 $4 \mu \mathrm{W}$
2 $7 \mu \mathrm{W}$
3 $2.3 \mu \mathrm{W}$
4 $1.25 \mu \mathrm{W}$
5 $1.29 \mu \mathrm{W}$
Electro Magnetic Induction

154742 Equivalent inductance of two inductors is $2.4 \mathrm{H}$ when connected in parallel and $10 \mathrm{H}$ when connected in series. What is the value of inductance of the individual inductors?

1 $8 \mathrm{H} \& 2 \mathrm{H}$
2 $6 \mathrm{H} \& 4 \mathrm{H}$
3 $5 \mathrm{H} \& 5 \mathrm{H}$
4 $7 \mathrm{H} \& 3 \mathrm{H}$
Electro Magnetic Induction

154743 Find the equivalent inductance between $A$ and $B$ in the given circuit.

1 $1 \mathrm{H}$
2 $4 \mathrm{H}$
3 $0.8 \mathrm{H}$
4 $16 \mathrm{H}$
Electro Magnetic Induction

154744 Two inductors $A$ and $B$ when connected in parallel are equivalent to a single inductor of inductance $1.5 \mathrm{H}$, and when connected in series are equivalent to a single inductor of inductance $8 \mathrm{H}$. Find the difference in the inductances of $A$ and $B$.

1 $3 \mathrm{H}$
2 $7.5 \mathrm{H}$
3 $2 \mathrm{H}$
4 $4 \mathrm{H}$