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

Question 1: moderate

A semi-infinite straight conductor carries a current I P is a point at perpendicular distance a
from the conductor as shown. The field at P due to the conductor is :

1. \[B=\frac{\mu_{0}I}{4\pi a}(1+sin\phi):outwards\]
2. \[B=\frac{\mu_{0}I}{4\pi a}(1+cos\phi):outwards\]
3. \[B=\frac{\mu_{0}I}{4\pi a}(1+sin\phi):inwards\]
4. \[B=\frac{\mu_{0}I}{4\pi a}(1+cos\phi):inwards\]
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Question 2: moderate

A point charge q is in motion with velocity \[\overrightarrow{v}] relative to an inertial axis ‘A’. The instantaneous location of q with respect to a fixed observation point P is \[\overrightarrow{r}\] as shown. \[\overrightarrow{B}\]
the magnetic field at point P is given by :

1. \[\overrightarrow{B}=\frac{\mu_{0}q}{4\pi}\frac{(\overrightarrow{r}\times \overrightarrow{v})}{r^{3}}\]
2. \[\overrightarrow{B}=\frac{\mu_{0}q}{2\pi}\frac{(\overrightarrow{v}\times \overrightarrow{r})}{r^{3}}\]
3. \[\overrightarrow{B}=\frac{\mu_{0}q}{4\pi}\frac{(\overrightarrow{v}\times \overrightarrow{r})}{r^{3}}\]
4. Zero
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Question 3: moderate

A wire carrying current I has the shape as shown in adjoining figure. Linear parts of the wire are
very long and parallel to X-axis while semicircular portion of radius R is lying in Y-Z plane. Magnetic field at point O is :

1. \[\overrightarrow{B}=-\frac{\mu_{0}}{4\pi}\frac{I}{R}\left( \pi \hat{i}-2\hat{k} \right)\]
2. \[\overrightarrow{B}=-\frac{\mu_{0}}{4\pi}\frac{I}{R}\left( \pi \hat{i}+2\hat{k} \right)\]
3. \[\overrightarrow{B}=\frac{\mu_{0}}{4\pi}\frac{I}{R}\left( \pi \hat{i}-2\hat{k} \right)\]
4. \[\overrightarrow{B}=\frac{\mu_{0}}{4\pi}\frac{I}{R}\left( \pi \hat{i}+2\hat{k} \right)\]
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Question 4: moderate

A long straight, hollow, conductor (tube) carrying a current has two sections A and C of unequal cross sections joined by a conical section B. 1, 2 and 3 are points on a line parallel to the axis of the conductor. The magnetic fields at 1, 2 and 3 have magnitudes B1, B2 and B3. Then :

1. B1 = B2 = B3
2. B1 = B2 ≠ B3
3. B1 < B2 < B3
4. B2 cannot be found unless the dimensions of the section B are known
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Question 5: moderate

Two parallel long wires carry currents i1 and i2 with i1 > i2. When the currents are in the same
direction, the magnetic field midway between the wires is 10μT. When the direction of i2 is reversed, it becomes 40μT. the ratio i1/i2 is :

1. 3 : 4
2. 11 : 7
3. 7 : 11
4. 5 : 3
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Question 6: moderate

The magnetic field at the centre of an equilateral triangular loop of side 2L and carrying a current i is :

1. \[\frac{9\mu_{0}i}{4\pi L}\]
2. \[\frac{3\sqrt{3}\mu_{0}i}{4\pi L}\]
3. \[\frac{2\sqrt{3}\mu_{0}i}{\pi L}\]
4. \[\frac{3\mu_{0}i}{4\pi L}\]
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Question 7: moderate

Two wires AO and OC carry equal currents i as shown in figure. One end of both the wire extends to infinity. Angle AOC is α. The magnitude of magnetic field at a point P on the bisector of these two wires at a distance r from point O is :

1. \[\frac{\mu_{0}i}{2\pi r}cot\left( \frac{\alpha}{4} \right)\]
2. \[\frac{\mu_{0}}{4\pi }\frac{i}{r}cot\left( \frac{\alpha}{2} \right)\]
3. \[\frac{\mu_{0}}{4\pi }\frac{i}{r}\frac{\left(1-cos \frac{\alpha}{2} \right)}{sin\left( \frac{\alpha}{2} \right)}\]
4. \[\frac{\mu_{0}}{4\pi }\frac{i}{r}\left( \frac{\alpha}{2} \right)\]
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Question 8: moderate

In the above figure magnetic field at point C will be:

1. \[\frac{\mu_{0}i}{2\pi r}\left[ \left( 1+\pi \right)\hat{k}+\hat{i} \right]\]
2. \[\frac{\mu_{0}i}{4\pi r}\left[ \left( 1+\pi \right)\hat{k}-\hat{i} \right]\]
3. \[\frac{\mu_{0}i}{2\pi r}\left[ \left( 1+\pi \right)\hat{k}-\hat{i} \right]\]
4. \[\frac{\mu_{0}i}{4\pi r}\left[ \left( 1-\pi \right)\hat{k}+\hat{i} \right]\]
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Question 9: moderate

A wire carrying a current i is placed in a uniform magnetic field in the form of the curve
y =a sin (πx/L), 0 ≤ x ≤ 2L. The force acting on the wire is :

1. iBL/π
2. iBLπ
3. 2iBL
4. zero
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Question 10: moderate

Two thick wires and two thin wires, all of the same materials and same length form a square in
the three different ways P, Q and R as shown in fig with current connection shown, the magnetic field at the centre of the square is zero in cases:

1. In P only
2. In P and Q only
3. In Q and R only
4. P and R only
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