Which one of the following gives the value of the magnetic field according to Biot-Savart’s law?

1. iΔlsin(θ)r2 2. μ04πiΔlsin(θ)r
3. μ04πiΔlsin(θ)r2 4. μ04πiΔlsin(θ)
Subtopic:  Biot-Savart Law |
 90%
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To maximise the magnetic field caused by a small element of a current-carrying conductor at a point, the angle between the element and the line connecting the element to the point P must be:
1. 0 2. 90
3. 180 4. 45
Subtopic:  Biot-Savart Law |
 89%
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An element Δl=Δxi^ is placed at the origin and carries a large current of I=10 A (as shown in the figure). What is the magnetic field on the y-axis at a distance of 0.5 m? 
(Given Δx=1 cm)

 1. 6×108 T 2. 4×108 T
3. 5×108 T 4. 5.4×108 T
Subtopic:  Biot-Savart Law |
 81%
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A straight wire carrying a current of 12 A is bent into a semi-circular arc of radius 2.0 cm as shown in the figure. Considering the magnetic field B at the centre of the arc, what will be the magnetic field due to the straight segments?

1. 0 2. 1.2×104 T
3. 2.1×104 T 4. None of these
Subtopic:  Biot-Savart Law |
 80%
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Which one of the following expressions represents Biot-Savart's law? Symbols have their usual meanings.

1. dB=μ0I(dl×r^)4π|r|3 2. dB=μ0I(dl×r^)4π|r|2
3. dB=μ0I(dl×r)4π|r|3 4. dB=μ0I(dlr)4π|r|3
Subtopic:  Biot-Savart Law |
 69%
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A long wire carrying a steady current is bent into a circular loop of one turn. The magnetic field at the centre of the loop is B. It is then bent into a circular coil of n turns. What will the magnetic field be at the centre of this n-turn coil?
1. nB 2. n2B
3. 2nB 4. 2n2B
Subtopic:  Magnetic Field due to various cases |
 84%
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NEET - 2016
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The resistances of three parts of a circular loop are as shown in the figure. What will be the magnetic field at the centre of O 
(current enters at A and leaves at B and C as shown)?

          
1. μ0I6a 2. μ0I3a
3. 2μ0I3a 4. 0
Subtopic:  Magnetic Field due to various cases |
 82%
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The magnetic induction at point P, which is 4 cm from a long current-carrying wire is 108 Tesla. What would be the field of induction at a distance of 12 cm from the same current?
1. 3.33×109 Tesla   
2. 1.11×104 Tesla
3. 3×103 Tesla
4. 9×102 Tesla
Subtopic:  Magnetic Field due to various cases |
 81%
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Which of the following graphs correctly represents the variation of magnetic field induction with distance due to a thin wire carrying current?

1.   2.
3. 4.
Subtopic:  Magnetic Field due to various cases |
 80%
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Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively. What will be the resultant magnetic field induction at the centre?

1. 5μ0I2R 2. 3μ0I2R
3. μ0I2R 4. μ0IR
Subtopic:  Magnetic Field due to various cases |
 82%
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AIPMT - 2012
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