Two long and parallel straight wires A and B carrying currents of \(8.0\) A and \(5.0\) A in the same direction are separated by a distance of \(4.0\) cm. The force on a \(10\) cm section of wire A is:
1. \(3\times10^{-5}\) N
2. \(2\times10^{-5}\) N
3. \(3\times10^{-4}\) N
4. \(2\times10^{-4}\) N

Subtopic:  Force between Current Carrying Wires |
 79%
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A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?

1.\(8.1 \times 10^{-2} \ N\)
2.\(9.8 \times 10^{-2} \ N\)
3. \(7.6 \times 10^{-2} \ N\)
4.\(6.8 \times 10^{-2} \ N\)

Subtopic:  Lorentz Force |
 79%
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What is the magnitude of magnetic force per unit length on a wire carrying a current of \(8~\text{A}\) and making an angle of \(30^{\circ}\) with the direction of a uniform magnetic field of \(0.15~\text{T}\)?

1. \(0.04~\text{N/m}\) 2. \(0.6~\text{N/m}\)
3. \(1.5~\text{N/m}\) 4. \(0.33~\text{N/m}\)
Subtopic:  Lorentz Force |
 84%
From NCERT
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A horizontal overhead power line carries a current of \(90\) A in the east to west direction. What is the magnitude and direction of the magnetic field due to the current \(1.5\) m below the line?
1. \(1.2 \times 10^{-5}\) T, towards north
2. \(2.1 \times 10^{-5}\) T, towards south
3. \(1.2 \times 10^{-5}\) T, towards south
4. \(2.1 \times 10^{-5}\) T, towards north

Subtopic:  Magnetic Field due to various cases |
 61%
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A long straight wire in the horizontal plane carries a current of 50 A in the north to south direction. The magnitude and direction of the magnetic field at a point 2.5 m east of the wire is:
1. \(4 \times 10^{-6}~ T\) vertically upward
2. \(4 \times 10^{-6} ~T\) vertically downward
3. \(3 \times 10^{-6} ~T\) vertically upward
4. \(3 \times 10^{-6} ~T\) vertically downward

Subtopic:  Magnetic Field due to various cases |
 65%
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A long straight wire carries a current of \(35\) A. The magnitude of the magnetic field at a point \(20\) cm from the wire is:
1. \(3.5 \times 10^{-6} \) T
2. \(3.5 \times 10^{-5} \) T
3. \(4.5 \times 10^{-6} \) T
4.\(4.5 \times 10^{-5} \) T

Subtopic:  Magnetic Field due to various cases |
 78%
From NCERT
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A straight horizontal conducting rod of length 0.45 m and mass 60 g is suspended by two vertical wires at its ends. A current of 5.0 A is set up in the rod through the wires. (a) What magnetic field should be set up normally to the conductor in order that the tension in the wires is zero?

1. 0.13 T
2. 0.06 T
3. 0.26 T
4. 0.18 T

Subtopic:  Lorentz Force |
 70%
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The wires which connect the battery of an automobile to its starting motor carry a current of \(300~\text{A}\) (for a short time). What is the force per unit length between the wires if they are \(70~\text{cm}\) long and \(1.5~\text{cm}\) apart?
1. \(2.2~\text{N/m}\)
2. \(4.7~\text{N/m}\)
3. \(3.2~\text{N/m}\)
4. \(1.2~\text{N/m}\)

Subtopic:  Force between Current Carrying Wires |
 65%
From NCERT
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A uniform magnetic field of 1.5 T exists in a cylindrical region of a radius of 10.0 cm, its direction parallel to its axis along east to west. A wire carrying a current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if the wire intersects the axis?

1. 3.4 N vertically upward direction.
2. 2.1 N vertically upward direction.
3. 3.4 N vertically downward direction.
4. 2.1 N vertically downward direction.

Subtopic:  Lorentz Force |
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A circular coil of \(20\) turns and a radius of \(10\) cm is placed in a uniform magnetic field of \(0.10~\text{T}\) normal to the plane of the coil. If the current in the coil is \(5.0~\text{A}\), what is the total torque on the coil?
1. \(1.0~\text{N-m}\)
2. \(\text{zero}\)
3. \(0.5~\text{N-m}\)
4. \(0.3~\text{N-m}\)

Subtopic:  Current Carrying Loop: Force & Torque |
 55%
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