Magnetic Field Due to Circular Current Carrying Wire – Page 2 – Rankers Physics
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Magnetic Field Due to Circular Current Carrying Wire

Question 1:

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

\[\frac{\mu_{0}I}{4\pi R_{1}}\alpha\]
\[\frac{\mu_{0}I}{4\pi R_{2}}\alpha\]
\[\frac{\mu_{0}I\alpha}{4\pi}\left( \frac{1}{R_{1}}-\frac{1}{R_{2}} \right)\]
\[\frac{\mu_{0}I\alpha}{4\pi}\left( \frac{1}{R_{1}}+\frac{1}{R_{2}} \right)\]
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No solution provided for this question.

Question 2:

A cell is connected between the points A and C of a circular conductor ABCD with O as centre and angle AOC = 60°. 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
2
5
6
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No solution provided for this question.

Question 3:

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 :

\[\left(- \frac{\pi}{2} \right):\left( \frac{\pi}{2} \right):\left( \frac{3\pi}{4}-\frac{1}{2} \right)\]
\[\left(- \frac{\pi}{2}+1 \right):\left( \frac{\pi}{2}+1 \right):\left( \frac{3\pi}{4}+\frac{1}{2} \right)\]
\[\left(- \frac{\pi}{2} \right):\left( \frac{\pi}{2} \right):\left( \frac{3\pi}{4} \right)\]
\[\left(- \frac{\pi}{2}-1 \right):\left( \frac{\pi}{2}-\frac{1}{4} \right):\left( \frac{3\pi}{4}+\frac{1}{2} \right)\]
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No solution provided for this question.

Question 4:

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 :

2√2 iBa
√2 iBa
2iBa
iBa
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No solution provided for this question.

Question 5:

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

AB
CD
Segment OB only of line AB
Segment OC only of line CD
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No solution provided for this question.

Question 6:

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 :-

\[\frac{\mu_{0}}{2r}\left( \pi-\theta+tan\theta \right)\]
\[\frac{\mu_{0}I}{2\pi r}\left( \pi+\theta-tan\theta \right)\]
\[\frac{\mu_{0}I}{2\pi r}\left( \pi-\theta+tan\theta \right)\]
\[\frac{\mu_{0}I}{2\pi r}\left( -tan\theta+\pi-\theta \right)\]
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No solution provided for this question.

Question 7:

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 θ,
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 θ is:-

π/2 rad
2/π rad
2 rad
1 rad
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No solution provided for this question.

Question 8:

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 :-

√3 R
√5 R
√15 R
R
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No solution provided for this question.

Question 9:

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 :-

\[1.4\times 10^{-4}N towards the right\]
\[1.4\times 10^{-4}N towards left\]
\[2.6\times 10^{-4}N to the right\]
\[2.6\times 10^{-4}N to the left\]
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No solution provided for this question.

Question 10:

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 :-

24 N
Zero
16 N
8 N
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No solution provided for this question.