00. Magnetic Flux, Faraday's Law
Electro Magnetic Induction

154537 Consider a circular wire loop of radius $R$ spinning about a diametrical chord which is perpendicular to uniform magnetic field ( $\left.B=B_{0} \hat{k}\right)$

1 The magnitude of the induced EMF in the loop is maximum when the plane of the loop is perpendicular to $\mathrm{B}$
2 Flux through the loop is maximum when the plane of the loop is perpendicular to B
3 The direction of induced current remains same during the spinning motion of the loop
4 EMF induced will be the same for a larger radius of the loop in the same field
5 No EMF will be induced since magnetic field is constant
Electro Magnetic Induction

154538 A conducting circular loop is placed in a uniform magnetic field, $B=0.025 T$ with its plane perpendicular to the loop.
The radius of the loop is made to shrink at a constant rate of $1 \mathrm{~mm} \mathrm{~s}^{-1}$. The induced e.m.f. when the radius is $2 \mathrm{~cm}$, is

1 $2 \pi \mu \mathrm{V}$
2 $\pi \mu \mathrm{V}$
3 $\frac{\pi}{2} \mu \mathrm{V}$
4 $2 \mu \mathrm{V}$
Electro Magnetic Induction

154540 A coil having an area of $2 \mathrm{~m}^{2}$ is placed in a magnetic field which changes from $1 \mathrm{~Wb} / \mathrm{m}^{2}$ to $4 \mathrm{~Wb} / \mathrm{m}^{2}$ in $2 \mathrm{~s}$. The e mf induced in the coil will be

1 $4 \mathrm{~V}$
2 $3 \mathrm{~V}$
3 $2 \mathrm{~V}$
4 $1 \mathrm{~V}$
Electro Magnetic Induction

154541 A circular coil of $\mathbf{1 0 0}$ turns has an effective radius of $0.05 \mathrm{~m}$ and carries a current of $0.1 \mathrm{~A}$. How much work is required to turn it in an external magnetic field of $1.5 \mathrm{~Wb} / \mathrm{m}^{2}$ through $180^{\circ}$ about its axis perpendicular to the magnetic field? The plane of the coil is initially perpendicular to the magnetic field.

1 $0.456 \mathrm{~J}$
2 $2.65 \mathrm{~J}$
3 $0.2355 \mathrm{~J}$
4 $3.95 \mathrm{~J}$
Electro Magnetic Induction

154542 Two coil $A$ and $B$ have mutual inductance $2 \times$ $10^{-2}$ henry. If the current in the primary is $I=$ $5 \sin (10 \pi t)$ then the maximum value of e.m.f. induced in coil $B$ is

1 $\pi$ volt
2 $\frac{\pi}{2}$ volt
3 $\frac{\pi}{3}$ volt
4 $\frac{\pi}{4}$ volt
Electro Magnetic Induction

154537 Consider a circular wire loop of radius $R$ spinning about a diametrical chord which is perpendicular to uniform magnetic field ( $\left.B=B_{0} \hat{k}\right)$

1 The magnitude of the induced EMF in the loop is maximum when the plane of the loop is perpendicular to $\mathrm{B}$
2 Flux through the loop is maximum when the plane of the loop is perpendicular to B
3 The direction of induced current remains same during the spinning motion of the loop
4 EMF induced will be the same for a larger radius of the loop in the same field
5 No EMF will be induced since magnetic field is constant
Electro Magnetic Induction

154538 A conducting circular loop is placed in a uniform magnetic field, $B=0.025 T$ with its plane perpendicular to the loop.
The radius of the loop is made to shrink at a constant rate of $1 \mathrm{~mm} \mathrm{~s}^{-1}$. The induced e.m.f. when the radius is $2 \mathrm{~cm}$, is

1 $2 \pi \mu \mathrm{V}$
2 $\pi \mu \mathrm{V}$
3 $\frac{\pi}{2} \mu \mathrm{V}$
4 $2 \mu \mathrm{V}$
Electro Magnetic Induction

154540 A coil having an area of $2 \mathrm{~m}^{2}$ is placed in a magnetic field which changes from $1 \mathrm{~Wb} / \mathrm{m}^{2}$ to $4 \mathrm{~Wb} / \mathrm{m}^{2}$ in $2 \mathrm{~s}$. The e mf induced in the coil will be

1 $4 \mathrm{~V}$
2 $3 \mathrm{~V}$
3 $2 \mathrm{~V}$
4 $1 \mathrm{~V}$
Electro Magnetic Induction

154541 A circular coil of $\mathbf{1 0 0}$ turns has an effective radius of $0.05 \mathrm{~m}$ and carries a current of $0.1 \mathrm{~A}$. How much work is required to turn it in an external magnetic field of $1.5 \mathrm{~Wb} / \mathrm{m}^{2}$ through $180^{\circ}$ about its axis perpendicular to the magnetic field? The plane of the coil is initially perpendicular to the magnetic field.

1 $0.456 \mathrm{~J}$
2 $2.65 \mathrm{~J}$
3 $0.2355 \mathrm{~J}$
4 $3.95 \mathrm{~J}$
Electro Magnetic Induction

154542 Two coil $A$ and $B$ have mutual inductance $2 \times$ $10^{-2}$ henry. If the current in the primary is $I=$ $5 \sin (10 \pi t)$ then the maximum value of e.m.f. induced in coil $B$ is

1 $\pi$ volt
2 $\frac{\pi}{2}$ volt
3 $\frac{\pi}{3}$ volt
4 $\frac{\pi}{4}$ volt
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Electro Magnetic Induction

154537 Consider a circular wire loop of radius $R$ spinning about a diametrical chord which is perpendicular to uniform magnetic field ( $\left.B=B_{0} \hat{k}\right)$

1 The magnitude of the induced EMF in the loop is maximum when the plane of the loop is perpendicular to $\mathrm{B}$
2 Flux through the loop is maximum when the plane of the loop is perpendicular to B
3 The direction of induced current remains same during the spinning motion of the loop
4 EMF induced will be the same for a larger radius of the loop in the same field
5 No EMF will be induced since magnetic field is constant
Electro Magnetic Induction

154538 A conducting circular loop is placed in a uniform magnetic field, $B=0.025 T$ with its plane perpendicular to the loop.
The radius of the loop is made to shrink at a constant rate of $1 \mathrm{~mm} \mathrm{~s}^{-1}$. The induced e.m.f. when the radius is $2 \mathrm{~cm}$, is

1 $2 \pi \mu \mathrm{V}$
2 $\pi \mu \mathrm{V}$
3 $\frac{\pi}{2} \mu \mathrm{V}$
4 $2 \mu \mathrm{V}$
Electro Magnetic Induction

154540 A coil having an area of $2 \mathrm{~m}^{2}$ is placed in a magnetic field which changes from $1 \mathrm{~Wb} / \mathrm{m}^{2}$ to $4 \mathrm{~Wb} / \mathrm{m}^{2}$ in $2 \mathrm{~s}$. The e mf induced in the coil will be

1 $4 \mathrm{~V}$
2 $3 \mathrm{~V}$
3 $2 \mathrm{~V}$
4 $1 \mathrm{~V}$
Electro Magnetic Induction

154541 A circular coil of $\mathbf{1 0 0}$ turns has an effective radius of $0.05 \mathrm{~m}$ and carries a current of $0.1 \mathrm{~A}$. How much work is required to turn it in an external magnetic field of $1.5 \mathrm{~Wb} / \mathrm{m}^{2}$ through $180^{\circ}$ about its axis perpendicular to the magnetic field? The plane of the coil is initially perpendicular to the magnetic field.

1 $0.456 \mathrm{~J}$
2 $2.65 \mathrm{~J}$
3 $0.2355 \mathrm{~J}$
4 $3.95 \mathrm{~J}$
Electro Magnetic Induction

154542 Two coil $A$ and $B$ have mutual inductance $2 \times$ $10^{-2}$ henry. If the current in the primary is $I=$ $5 \sin (10 \pi t)$ then the maximum value of e.m.f. induced in coil $B$ is

1 $\pi$ volt
2 $\frac{\pi}{2}$ volt
3 $\frac{\pi}{3}$ volt
4 $\frac{\pi}{4}$ volt
Electro Magnetic Induction

154537 Consider a circular wire loop of radius $R$ spinning about a diametrical chord which is perpendicular to uniform magnetic field ( $\left.B=B_{0} \hat{k}\right)$

1 The magnitude of the induced EMF in the loop is maximum when the plane of the loop is perpendicular to $\mathrm{B}$
2 Flux through the loop is maximum when the plane of the loop is perpendicular to B
3 The direction of induced current remains same during the spinning motion of the loop
4 EMF induced will be the same for a larger radius of the loop in the same field
5 No EMF will be induced since magnetic field is constant
Electro Magnetic Induction

154538 A conducting circular loop is placed in a uniform magnetic field, $B=0.025 T$ with its plane perpendicular to the loop.
The radius of the loop is made to shrink at a constant rate of $1 \mathrm{~mm} \mathrm{~s}^{-1}$. The induced e.m.f. when the radius is $2 \mathrm{~cm}$, is

1 $2 \pi \mu \mathrm{V}$
2 $\pi \mu \mathrm{V}$
3 $\frac{\pi}{2} \mu \mathrm{V}$
4 $2 \mu \mathrm{V}$
Electro Magnetic Induction

154540 A coil having an area of $2 \mathrm{~m}^{2}$ is placed in a magnetic field which changes from $1 \mathrm{~Wb} / \mathrm{m}^{2}$ to $4 \mathrm{~Wb} / \mathrm{m}^{2}$ in $2 \mathrm{~s}$. The e mf induced in the coil will be

1 $4 \mathrm{~V}$
2 $3 \mathrm{~V}$
3 $2 \mathrm{~V}$
4 $1 \mathrm{~V}$
Electro Magnetic Induction

154541 A circular coil of $\mathbf{1 0 0}$ turns has an effective radius of $0.05 \mathrm{~m}$ and carries a current of $0.1 \mathrm{~A}$. How much work is required to turn it in an external magnetic field of $1.5 \mathrm{~Wb} / \mathrm{m}^{2}$ through $180^{\circ}$ about its axis perpendicular to the magnetic field? The plane of the coil is initially perpendicular to the magnetic field.

1 $0.456 \mathrm{~J}$
2 $2.65 \mathrm{~J}$
3 $0.2355 \mathrm{~J}$
4 $3.95 \mathrm{~J}$
Electro Magnetic Induction

154542 Two coil $A$ and $B$ have mutual inductance $2 \times$ $10^{-2}$ henry. If the current in the primary is $I=$ $5 \sin (10 \pi t)$ then the maximum value of e.m.f. induced in coil $B$ is

1 $\pi$ volt
2 $\frac{\pi}{2}$ volt
3 $\frac{\pi}{3}$ volt
4 $\frac{\pi}{4}$ volt
Electro Magnetic Induction

154537 Consider a circular wire loop of radius $R$ spinning about a diametrical chord which is perpendicular to uniform magnetic field ( $\left.B=B_{0} \hat{k}\right)$

1 The magnitude of the induced EMF in the loop is maximum when the plane of the loop is perpendicular to $\mathrm{B}$
2 Flux through the loop is maximum when the plane of the loop is perpendicular to B
3 The direction of induced current remains same during the spinning motion of the loop
4 EMF induced will be the same for a larger radius of the loop in the same field
5 No EMF will be induced since magnetic field is constant
Electro Magnetic Induction

154538 A conducting circular loop is placed in a uniform magnetic field, $B=0.025 T$ with its plane perpendicular to the loop.
The radius of the loop is made to shrink at a constant rate of $1 \mathrm{~mm} \mathrm{~s}^{-1}$. The induced e.m.f. when the radius is $2 \mathrm{~cm}$, is

1 $2 \pi \mu \mathrm{V}$
2 $\pi \mu \mathrm{V}$
3 $\frac{\pi}{2} \mu \mathrm{V}$
4 $2 \mu \mathrm{V}$
Electro Magnetic Induction

154540 A coil having an area of $2 \mathrm{~m}^{2}$ is placed in a magnetic field which changes from $1 \mathrm{~Wb} / \mathrm{m}^{2}$ to $4 \mathrm{~Wb} / \mathrm{m}^{2}$ in $2 \mathrm{~s}$. The e mf induced in the coil will be

1 $4 \mathrm{~V}$
2 $3 \mathrm{~V}$
3 $2 \mathrm{~V}$
4 $1 \mathrm{~V}$
Electro Magnetic Induction

154541 A circular coil of $\mathbf{1 0 0}$ turns has an effective radius of $0.05 \mathrm{~m}$ and carries a current of $0.1 \mathrm{~A}$. How much work is required to turn it in an external magnetic field of $1.5 \mathrm{~Wb} / \mathrm{m}^{2}$ through $180^{\circ}$ about its axis perpendicular to the magnetic field? The plane of the coil is initially perpendicular to the magnetic field.

1 $0.456 \mathrm{~J}$
2 $2.65 \mathrm{~J}$
3 $0.2355 \mathrm{~J}$
4 $3.95 \mathrm{~J}$
Electro Magnetic Induction

154542 Two coil $A$ and $B$ have mutual inductance $2 \times$ $10^{-2}$ henry. If the current in the primary is $I=$ $5 \sin (10 \pi t)$ then the maximum value of e.m.f. induced in coil $B$ is

1 $\pi$ volt
2 $\frac{\pi}{2}$ volt
3 $\frac{\pi}{3}$ volt
4 $\frac{\pi}{4}$ volt