01. Amperes Law (∞, Length, Solenoid, Toroid)
Moving Charges & Magnetism

153425 The magnetic field at a centre of solenoid is $B$. The solenoid is cut into two equal parts. For the same current, what is $B$ at the centre of new solenoid?

1 $\mathrm{B}$
2 $2 \mathrm{~B}$
3 $4 \mathrm{~B}$
4 $\frac{B}{2}$
Moving Charges & Magnetism

153426 A solenoid having 2000 turns per meter has a core of area $4 \mathrm{~cm}^{2}$ and relative permeability 220. It carries a current of $5 \mathrm{~A}$. The which statement among the following is true?

1 Magnetic intensity is $10^{4} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 876 A.m
2 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 200 A.m
3 Amgnetic intensity is $10^{4} \quad$ A.m ${ }^{-1}$. Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A}^{-\mathrm{m}^{-1}}$ and Pole strength is 300 A.m
4 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $44 \pi \times 10^{-2} \mathrm{~T}$ and Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A} \cdot \mathrm{m}^{-1}$
Moving Charges & Magnetism

153427 In a current carrying long solenoid, the field produced does not depend upon

1 Number of turns per unit length
2 Current flowing
3 Radius of the solenoid
4 All of the above
Moving Charges & Magnetism

153429 An ideal solenoid has $\mathbf{1 0 0 0}$ turns per meter and $8 \mathrm{~cm}$ radius. The current in it varies at a uniform rate of $0.02 \mathrm{~A} \mathrm{~s}^{-1}$. A circular coil of radius $2 \mathrm{~cm}$ is placed inside the solenoid such that its axis coincides with that of the solenoid. Find the induced electric field at a point on the circumference of the coil and that at a point outside the solenoid at a distance of $12.8 \mathrm{~cm}$ from its axis.

1 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
2 $7 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $5 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
3 $6 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
4 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $28 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
Moving Charges & Magnetism

153430 Two long parallel wires are separated by a distance of $2.50 \mathrm{~cm}$. The force per unit length that each wire exerts on the other is $4 \times 10^{-}$ ${ }^{5} \mathrm{~N} / \mathrm{m}$, and the wires repel each other. The current in one wire is $0.5 \mathrm{~A}$. What is the current in the second wire?
(Take $\mu_{0}=4 \pi \times 10^{-7}$ SI Unit)

1 $12 \mathrm{~A}$
2 $8 \mathrm{~A}$
3 $6 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153425 The magnetic field at a centre of solenoid is $B$. The solenoid is cut into two equal parts. For the same current, what is $B$ at the centre of new solenoid?

1 $\mathrm{B}$
2 $2 \mathrm{~B}$
3 $4 \mathrm{~B}$
4 $\frac{B}{2}$
Moving Charges & Magnetism

153426 A solenoid having 2000 turns per meter has a core of area $4 \mathrm{~cm}^{2}$ and relative permeability 220. It carries a current of $5 \mathrm{~A}$. The which statement among the following is true?

1 Magnetic intensity is $10^{4} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 876 A.m
2 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 200 A.m
3 Amgnetic intensity is $10^{4} \quad$ A.m ${ }^{-1}$. Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A}^{-\mathrm{m}^{-1}}$ and Pole strength is 300 A.m
4 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $44 \pi \times 10^{-2} \mathrm{~T}$ and Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A} \cdot \mathrm{m}^{-1}$
Moving Charges & Magnetism

153427 In a current carrying long solenoid, the field produced does not depend upon

1 Number of turns per unit length
2 Current flowing
3 Radius of the solenoid
4 All of the above
Moving Charges & Magnetism

153429 An ideal solenoid has $\mathbf{1 0 0 0}$ turns per meter and $8 \mathrm{~cm}$ radius. The current in it varies at a uniform rate of $0.02 \mathrm{~A} \mathrm{~s}^{-1}$. A circular coil of radius $2 \mathrm{~cm}$ is placed inside the solenoid such that its axis coincides with that of the solenoid. Find the induced electric field at a point on the circumference of the coil and that at a point outside the solenoid at a distance of $12.8 \mathrm{~cm}$ from its axis.

1 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
2 $7 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $5 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
3 $6 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
4 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $28 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
Moving Charges & Magnetism

153430 Two long parallel wires are separated by a distance of $2.50 \mathrm{~cm}$. The force per unit length that each wire exerts on the other is $4 \times 10^{-}$ ${ }^{5} \mathrm{~N} / \mathrm{m}$, and the wires repel each other. The current in one wire is $0.5 \mathrm{~A}$. What is the current in the second wire?
(Take $\mu_{0}=4 \pi \times 10^{-7}$ SI Unit)

1 $12 \mathrm{~A}$
2 $8 \mathrm{~A}$
3 $6 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153425 The magnetic field at a centre of solenoid is $B$. The solenoid is cut into two equal parts. For the same current, what is $B$ at the centre of new solenoid?

1 $\mathrm{B}$
2 $2 \mathrm{~B}$
3 $4 \mathrm{~B}$
4 $\frac{B}{2}$
Moving Charges & Magnetism

153426 A solenoid having 2000 turns per meter has a core of area $4 \mathrm{~cm}^{2}$ and relative permeability 220. It carries a current of $5 \mathrm{~A}$. The which statement among the following is true?

1 Magnetic intensity is $10^{4} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 876 A.m
2 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 200 A.m
3 Amgnetic intensity is $10^{4} \quad$ A.m ${ }^{-1}$. Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A}^{-\mathrm{m}^{-1}}$ and Pole strength is 300 A.m
4 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $44 \pi \times 10^{-2} \mathrm{~T}$ and Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A} \cdot \mathrm{m}^{-1}$
Moving Charges & Magnetism

153427 In a current carrying long solenoid, the field produced does not depend upon

1 Number of turns per unit length
2 Current flowing
3 Radius of the solenoid
4 All of the above
Moving Charges & Magnetism

153429 An ideal solenoid has $\mathbf{1 0 0 0}$ turns per meter and $8 \mathrm{~cm}$ radius. The current in it varies at a uniform rate of $0.02 \mathrm{~A} \mathrm{~s}^{-1}$. A circular coil of radius $2 \mathrm{~cm}$ is placed inside the solenoid such that its axis coincides with that of the solenoid. Find the induced electric field at a point on the circumference of the coil and that at a point outside the solenoid at a distance of $12.8 \mathrm{~cm}$ from its axis.

1 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
2 $7 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $5 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
3 $6 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
4 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $28 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
Moving Charges & Magnetism

153430 Two long parallel wires are separated by a distance of $2.50 \mathrm{~cm}$. The force per unit length that each wire exerts on the other is $4 \times 10^{-}$ ${ }^{5} \mathrm{~N} / \mathrm{m}$, and the wires repel each other. The current in one wire is $0.5 \mathrm{~A}$. What is the current in the second wire?
(Take $\mu_{0}=4 \pi \times 10^{-7}$ SI Unit)

1 $12 \mathrm{~A}$
2 $8 \mathrm{~A}$
3 $6 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153425 The magnetic field at a centre of solenoid is $B$. The solenoid is cut into two equal parts. For the same current, what is $B$ at the centre of new solenoid?

1 $\mathrm{B}$
2 $2 \mathrm{~B}$
3 $4 \mathrm{~B}$
4 $\frac{B}{2}$
Moving Charges & Magnetism

153426 A solenoid having 2000 turns per meter has a core of area $4 \mathrm{~cm}^{2}$ and relative permeability 220. It carries a current of $5 \mathrm{~A}$. The which statement among the following is true?

1 Magnetic intensity is $10^{4} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 876 A.m
2 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 200 A.m
3 Amgnetic intensity is $10^{4} \quad$ A.m ${ }^{-1}$. Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A}^{-\mathrm{m}^{-1}}$ and Pole strength is 300 A.m
4 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $44 \pi \times 10^{-2} \mathrm{~T}$ and Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A} \cdot \mathrm{m}^{-1}$
Moving Charges & Magnetism

153427 In a current carrying long solenoid, the field produced does not depend upon

1 Number of turns per unit length
2 Current flowing
3 Radius of the solenoid
4 All of the above
Moving Charges & Magnetism

153429 An ideal solenoid has $\mathbf{1 0 0 0}$ turns per meter and $8 \mathrm{~cm}$ radius. The current in it varies at a uniform rate of $0.02 \mathrm{~A} \mathrm{~s}^{-1}$. A circular coil of radius $2 \mathrm{~cm}$ is placed inside the solenoid such that its axis coincides with that of the solenoid. Find the induced electric field at a point on the circumference of the coil and that at a point outside the solenoid at a distance of $12.8 \mathrm{~cm}$ from its axis.

1 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
2 $7 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $5 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
3 $6 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
4 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $28 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
Moving Charges & Magnetism

153430 Two long parallel wires are separated by a distance of $2.50 \mathrm{~cm}$. The force per unit length that each wire exerts on the other is $4 \times 10^{-}$ ${ }^{5} \mathrm{~N} / \mathrm{m}$, and the wires repel each other. The current in one wire is $0.5 \mathrm{~A}$. What is the current in the second wire?
(Take $\mu_{0}=4 \pi \times 10^{-7}$ SI Unit)

1 $12 \mathrm{~A}$
2 $8 \mathrm{~A}$
3 $6 \mathrm{~A}$
4 $10 \mathrm{~A}$
Moving Charges & Magnetism

153425 The magnetic field at a centre of solenoid is $B$. The solenoid is cut into two equal parts. For the same current, what is $B$ at the centre of new solenoid?

1 $\mathrm{B}$
2 $2 \mathrm{~B}$
3 $4 \mathrm{~B}$
4 $\frac{B}{2}$
Moving Charges & Magnetism

153426 A solenoid having 2000 turns per meter has a core of area $4 \mathrm{~cm}^{2}$ and relative permeability 220. It carries a current of $5 \mathrm{~A}$. The which statement among the following is true?

1 Magnetic intensity is $10^{4} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 876 A.m
2 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $88 \pi \times 10^{-2} \mathrm{~T}$ and Pole strength is 200 A.m
3 Amgnetic intensity is $10^{4} \quad$ A.m ${ }^{-1}$. Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A}^{-\mathrm{m}^{-1}}$ and Pole strength is 300 A.m
4 Magnetic intensity is $10^{3} \mathrm{~A} \cdot \mathrm{m}^{-1}$. Magnetic field is $44 \pi \times 10^{-2} \mathrm{~T}$ and Magnetisation of core is $2.19 \times 10^{6} \mathrm{~A} \cdot \mathrm{m}^{-1}$
Moving Charges & Magnetism

153427 In a current carrying long solenoid, the field produced does not depend upon

1 Number of turns per unit length
2 Current flowing
3 Radius of the solenoid
4 All of the above
Moving Charges & Magnetism

153429 An ideal solenoid has $\mathbf{1 0 0 0}$ turns per meter and $8 \mathrm{~cm}$ radius. The current in it varies at a uniform rate of $0.02 \mathrm{~A} \mathrm{~s}^{-1}$. A circular coil of radius $2 \mathrm{~cm}$ is placed inside the solenoid such that its axis coincides with that of the solenoid. Find the induced electric field at a point on the circumference of the coil and that at a point outside the solenoid at a distance of $12.8 \mathrm{~cm}$ from its axis.

1 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
2 $7 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $5 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
3 $6 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$ and $2 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
4 $8 \pi \times 10^{-8} \mathrm{~V} \mathrm{~m}^{-1}$ and $28 \pi \times 10^{-7} \mathrm{~V} \mathrm{~m}^{-1}$
Moving Charges & Magnetism

153430 Two long parallel wires are separated by a distance of $2.50 \mathrm{~cm}$. The force per unit length that each wire exerts on the other is $4 \times 10^{-}$ ${ }^{5} \mathrm{~N} / \mathrm{m}$, and the wires repel each other. The current in one wire is $0.5 \mathrm{~A}$. What is the current in the second wire?
(Take $\mu_{0}=4 \pi \times 10^{-7}$ SI Unit)

1 $12 \mathrm{~A}$
2 $8 \mathrm{~A}$
3 $6 \mathrm{~A}$
4 $10 \mathrm{~A}$