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 \(n\text-\)turn coil?
1. \(nB\) 2. \(n^2B\)
3. \(2nB\) 4. \(2n^2B\)

Subtopic:  Magnetic Field due to various cases |
 84%
Level 1: 80%+
NEET - 2016
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If an \(i~\text{A}\) current flows through an infinitely long, straight, thin-walled tube, what will be the magnetic induction at any point within the tube?
1. infinite 2. zero
3. \( \frac{\mu_0 2 i}{4 \pi} ~\text{T} \) 4. \( \frac{\mu_0 i}{2 r} ~\text{T} \)
Subtopic:  Ampere Circuital Law |
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Level 1: 80%+
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If the magnetic field at the centre of the circular coil is \(B_0,\) 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 |
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Level 2: 60%+
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A charged particle is projected in a uniform magnetic field at an angle of \(45^{\circ}\) to the magnetic field. If the circumference of the helical path followed by it is \(2\) cm, then the pitch of the helix will be:
1. \(1\) cm
2. \(\sqrt{2}\) cm
3. \(2\) cm
4. \(4\) cm
Subtopic:  Lorentz Force |
Level 3: 35%-60%
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A wire of length \(l\) carrying current \(i\) is folded to form a circular coil of \(N\) turns. What should be the value of \(N\) to have the maximum value of the magnetic moment in the coil?
1. \(1\)

2. \(4\)

3. \(9\)

4. \(10\)

Subtopic:  Magnetic Moment |
 61%
Level 2: 60%+
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If charge \(-Q\) is moving vertically upwards, then what will be the force on the charged particle if it enters a magnetic field that is pointed towards the south?
1. North
2. South
3. East
4. West

Subtopic:  Lorentz Force |
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Level 2: 60%+
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What happens when the number of turns in a galvanometer is doubled?

1. The voltage sensitivity becomes double.
2. The current sensitivity becomes double.
3. the voltage sensitivity becomes half.
4. The current sensitivity remains the same. 

Subtopic:  Moving Coil Galvanometer |
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Level 2: 60%+
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The two parts of the loop are circles of radii \(2a\) and \(a,\) respectively, and carry the same current \(i\) as shown in the given figure. What is the magnitude of the dipole moment of the current loop?

            

1. \(5 \pi a^{2}\hat i\) 
2. \(4 \pi a^{2}\hat i\) 
3. \(3 \pi a^{2}\hat i\) 
4. zero

Subtopic:  Magnetic Moment |
 73%
Level 2: 60%+
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What is the magnetic moment of the following current loop?
            
1. \(24~\text{Am}^2\)
2. \(12~\text{Am}^2\)
3. \(6~\text{Am}^2\)
4. zero

Subtopic:  Magnetic Moment |
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Level 2: 60%+
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An electron and a proton are revolving around a common centre \(O\) in two coplanar circular paths as shown in the figure with a time period of rotation of \(1\) s and \(2\) s, respectively. What will be the net magnetic field at \(O\)?

             

1. \(\frac{\mu _{0}e}{\pi }\) tesla 2. \(\frac{\mu _{0}e}{2}\) tesla
3. \(2\mu _{0}e\) tesla 4. zero
Subtopic:  Magnetic Field due to various cases |
 60%
Level 2: 60%+
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