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

1. ilsinθr2                               

2. μ04πilsinθr

3. μ04πilsinθr2                         

4. \(\frac{\mu_0}{4 \pi} \mathrm{i} \Delta \mathrm{l} \sin (\theta)\)

Subtopic:  Biot-Savart Law |
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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. 0º

2. 90º

3. 180º

4. 45º

Subtopic:  Biot-Savart Law |
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An element l=xi^ 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? (∆x = 1 cm)


       

1. 6×10-8 T2. 4×10-8 T3. 5×10-8 T4. 5.4×10-8 T

Subtopic:  Biot-Savart Law |
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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. 02. 1.2×10-4 T3. 2.1×10-4 T4. None of these

Subtopic:  Biot-Savart Law |
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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^)4πr3

2. dB=μ0I(dl×r^)4πr2

3. dB=μ0I(dl×r)4πr3

4. dB=μ0I(dl.r)4πr3

Subtopic:  Biot-Savart Law |
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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 |
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The magnetic induction at point P, which is 4 cm from a long current-carrying wire is 10-8 Tesla . What would be the field of induction at a distance of 12 cm from the same current?
1. 3.33 x 10-9 Tesla                            

2. 1.11 x 10-4 Tesla

3. 3 x 10-3 Tesla

4. 9 x 10-2 Tesla

Subtopic:  Magnetic Field due to various cases |
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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 |
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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 |
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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 |
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