Magnetic Field Due to Circular Current Carrying Wire - NEET Physics Questions
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Magnetic Field Due to Circular Current Carrying Wire

Practice Questions:
Question 11: moderate

The magnetic induction at the centre O of the current carrying bent wire shown in the adjoining figure is :

1. \[\frac{\mu_{0}I}{4\pi R_{1}}\alpha\]
2. \[\frac{\mu_{0}I}{4\pi R_{2}}\alpha\]
3. \[\frac{\mu_{0}I\alpha}{4\pi}\left( \frac{1}{R_{1}}-\frac{1}{R_{2}} \right)\]
4. \[\frac{\mu_{0}I\alpha}{4\pi}\left( \frac{1}{R_{1}}+\frac{1}{R_{2}} \right)\]
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Question 12: moderate

A cell is connected between the points A and C of a circular conductor ABCD with O as centre and angle AOC = 60Β°. If B1 and B2 are the magnitudes of the magnetic fields at O due to the currents in ABC and ADC respectively, then ratio B1/B2 is :-

1. 1
2. 2
3. 5
4. 6
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Question 13: moderate

Figure shows three cases, in all cases the circular part has radius r and stragiht ones are infinitely long. For the same current the ratio of field B at center P in the three cases B1 : B2 : B3 is :

1. \[\left(- \frac{\pi}{2} \right):\left( \frac{\pi}{2} \right):\left( \frac{3\pi}{4}-\frac{1}{2} \right)\]
2. \[\left(- \frac{\pi}{2}+1 \right):\left( \frac{\pi}{2}+1 \right):\left( \frac{3\pi}{4}+\frac{1}{2} \right)\]
3. \[\left(- \frac{\pi}{2} \right):\left( \frac{\pi}{2} \right):\left( \frac{3\pi}{4} \right)\]
4. \[\left(- \frac{\pi}{2}-1 \right):\left( \frac{\pi}{2}-\frac{1}{4} \right):\left( \frac{3\pi}{4}+\frac{1}{2} \right)\]
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Question 14: difficult

In figure, there is a uniform conducting structure in which each small square has side a. The
structure is kept in a uniform magnetic field B. Then the magnetic force on the structure will
be :

1. 2√2 iBa
2. √2 iBa
3. 2iBa
4. iBa
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Question 15: moderate

Two very thin metallic wires placed along X and Y-axis carry equal currents as shown in figure. AB and CD are lines at 45ΒΊ with the axes with origin of axes of O. The magnetic fields will be zero on the line :

1. AB
2. CD
3. Segment OB only of line AB
4. Segment OC only of line CD
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Question 16: moderate

A wire is bent in the form of a circular arc with a straight portion AB. Magnetic induction at O
when current I is flowing in the wire, is :

1. \[\frac{\mu_{0}}{2r}\left( \pi-\theta+tan\theta \right)\]
2. \[\frac{\mu_{0}I}{2\pi r}\left( \pi+\theta-tan\theta \right)\]
3. \[\frac{\mu_{0}I}{2\pi r}\left( \pi-\theta+tan\theta \right)\]
4. \[\frac{\mu_{0}I}{2\pi r}\left( -tan\theta+\pi-\theta \right)\]
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Question 17: moderate

A wire carrying current I has the configuration as shown in Fig. Two semi-infinite straight
sections both tangent to the same circle are connected by a circular arc of central angle ΞΈ,
along the circumference of the circle, with all sections lying in the same plane. If the magnetic
field at the centre of the circle is zero, then ΞΈ is:

1. Ο€/2 rad
2. 2/Ο€ rad
3. 2 rad
4. 1 rad
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Question 18: moderate

Radius of the current carrying coil is R. If magnetic field at any point on the axis of the coil is \[Bx=\frac{B_{0}}{64}\] then find out axial distance of this point :

1. √3 R
2. √5 R
3. √15 R
4. R
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Question 19: moderate

Three long, straight and parallel wires carrying currents are arranged as shown in figure. The force experienced by 10 cm length of wire Q is :

1. \[1.4\times 10^{-4}N towards the right\]
2. \[1.4\times 10^{-4}N towards left\]
3. \[2.6\times 10^{-4}N to the right\]
4. \[2.6\times 10^{-4}N to the left\]
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Question 20: moderate

Same current i = 2A is flowing in a wire frame as shown in figure. The frame is a combination of two equilateral triangles ACD and CDE of side 1m. It is placed in uniform magnetic field B = 4T acting perpendicular to the plane of frame. The magnitude of magnetic force acting on the frame is :

1. 24 N
2. Zero
3. 16 N
4. 8 N
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