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

1. \(\frac{\mathrm{i} \Delta \mathrm{l} \sin (\theta)}{\mathrm{r}^2} \) 2. \(\frac{\mu_0}{4 \pi} \frac{\mathrm{i} \Delta \mathrm{l} \sin (\theta)}{\mathrm{r}} \)
3. \(\frac{\mu_0}{4 \pi} \frac{\mathrm{i} \Delta \mathrm{l} \sin (\theta)}{\mathrm{r}^2} \) 4. \(\frac{\mu_0}{4 \pi} \mathrm{i} \Delta \mathrm{l} \sin (\theta)\)
Subtopic:  Biot-Savart Law |
 89%
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An element \(\Delta l=\Delta x \hat{i}\) 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?(\(\Delta x=1~\mathrm{cm}\))
       

 1. \(6\times 10^{-8}~\mathrm{T}\) 2. \(4\times 10^{-8}~\mathrm{T}\)
3. \(5\times 10^{-8}~\mathrm{T}\) 4. \(5.4\times 10^{-8}~\mathrm{T}\)

Subtopic:  Biot-Savart Law |
 80%
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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. 1.2×10-4 T
3. 2.1×10-4 T
4. None of these

Subtopic:  Biot-Savart Law |
 78%
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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%
From NCERT
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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%
From NCERT
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What is the magnetic field at point O in the figure?
                    

1.  μ0I4πr                                  
2.  μ0I4πr+μ0I2πr
3.  μ0I4r+μ0I4πr                        
4.  μ0I4r-μ0I4πr

Subtopic:  Magnetic Field due to various cases |
 78%
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Two identical long conducting wires \(\mathrm{AOB}\) and \(\mathrm{COD}\) are placed at a right angle to each other, with one above the other such that '\(O\)' is the common point for the two. The wires carry \(I_1\) and \(I_2\) currents, respectively. Point '\(P\)' is lying at a distance '\(d\)' from '\(O\)' along a direction perpendicular to the plane containing the wires. What will be the magnetic field at the point \(P\)?
1. \(\frac{\mu_0}{2\pi d}\left(\frac{I_1}{I_2}\right )\)
2. \(\frac{\mu_0}{2\pi d}\left[I_1+I_2\right ]\)
3. \(\frac{\mu_0}{2\pi d}\left[I^2_1+I^2_2\right ]\)
4. \(\frac{\mu_0}{2\pi d}\sqrt{\left[I^2_1+I^2_2\right ]}\)

Subtopic:  Magnetic Field due to various cases |
 75%
From NCERT
AIPMT - 2014
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If the magnetic field at the centre of the circular coil is B0, then what is the distance on its axis from the centre of the coil where  \(B_x=\frac{B_0}{8}~?\)
(R= radius of the coil)

1. \(R \over 3\) 2. \(\sqrt{3}R\)
3. \(R \over \sqrt3\) 4. \(R \over 2\)
Subtopic:  Magnetic Field due to various cases |
 74%
From NCERT
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A circular coil is in the y-z plane with its centre at the origin. The coil carries a constant current. Assuming the direction of the magnetic field at x = – 25 cm to be positive, which of the following graphs shows the variation of the magnetic field along the x-axis?

1. option 2. option
3. option 4. option

Subtopic:  Magnetic Field due to various cases |
 69%
From NCERT
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A current loop consists of two identical semicircular parts each of radius \(R\), one lying in the x-y plane, and the other in the x-z plane. If the current in the loop is \(i\), what will be the resultant magnetic field due to the two semicircular parts at their common centre?

1. \( \frac{\mu_0 i}{2 \sqrt{2} R} \) 2. \( \frac{\mu_0 i}{2 R} \)
3. \( \frac{\mu_0 i}{4 R} \) 4. \( \frac{\mu_0 i}{\sqrt{2} R}\)

Subtopic:  Magnetic Field due to various cases |
 66%
From NCERT
NEET - 2010
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