An electron, moving in a uniform magnetic field of induction of intensity B, has its radius directly proportional to :

(1) Its charge                       

(2) Magnetic field

(3) Speed                               

(4) None of these

Subtopic:  Lorentz Force |
 83%
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What is a representation of the magnetic field caused by a straight conductor with a uniform cross-section and a steady current of radius \(a\)?
1.   2.
3. 4.
Subtopic:  Ampere Circuital Law |
 73%
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A non-planar loop of conducting wire carrying a current I is placed as shown in the figure. Each of the straight sections of the loop is of length 2a. The magnetic field due to this loop at the point P (a,0,a) points in the direction

(1)  12-j^+k^                                   

(2) 13(i^+j^+k^)

(3)  13(-j^+k^+i^)                             

(4)  12(i^+k^)                        

 

 

Subtopic:  Magnetic Field due to various cases |
 57%
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A particle of charge \(q\) and mass \(m\) is moving along the \(x\text-\)axis with a velocity of \(v\) and enters a region of electric field \(E\) and magnetic field \(\mathrm B\) as shown in the figure below. For which figure is the net force on the charge zero?

1. 2.
3. 4.
Subtopic:  Lorentz Force |
 60%
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A current-carrying wire is placed in a uniform magnetic field in the shape of the curve \(y= \alpha \sin \left({\pi x \over L}\right),~0 \le x \le2L.\) 
What will be the force acting on the wire?
                   

1. \(iBL \over \pi\) 2. \(iBL \pi\)
3. \(2iBL \) 4. zero
Subtopic:  Lorentz Force |
 69%
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 A long straight wire along the z-axis carries a current I in the negative z-direction. The magnetic field vector B at a point having coordinates (x, y) in the z = 0 plane is :

1. μ0I(yi^-xj^)2π(x2+y2)                 

2. μ0I(xi^+yj^)2π(x2+y2)

3. μ0I(xj^-yi^)2π(x2+y2)                 

4. μ0I(xi^-yj^)2π(x2+y2)

Subtopic:  Magnetic Field due to various cases |
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A circular coil is in the \(y\text-z\) 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 \(x\text-\)axis?
1.   2.
3. 4.
Subtopic:  Magnetic Field due to various cases |
 70%
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The ratio of the magnetic field at the centre of a current carrying circular wire and the magnetic field at the centre of a square coil made from the same length of wire will be

(a) π242                             (b) π282

(c) π22                             (d) π42 

Subtopic:  Magnetic Field due to various cases |
 55%
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A particle of charge \(+q\) and mass \(m\) moving under the influence of a uniform electric field \(E\hat i\) and a uniform magnetic field \(\mathrm B\hat k\) follows a trajectory from \(P\) to \(Q\) as shown in the figure. The velocities at \(P\) and \(Q\) are \(v\hat i\) and \(-2v\hat j\) respectively. Which of the following statement(s) is/are correct?

       
1. \(E=\frac{3}{4} \frac{{mv}^2}{{qa}}\).
2. Rate of work done by electric field at \(P\) is \(\frac{3}{4} \frac{{mv}^3}{a}\).
3. Rate of work done by both fields at \(Q\) is zero.
4. All of the above.
Subtopic:  Lorentz Force |
 70%
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Figure shows a square loop ABCD with edge length a. The resistance of the wire ABC is r

and that of ADC is 2r. The value of magnetic field at the centre of the loop assuming

uniform wire is

                   

1. 2μ0i3πa                                 

2. 2μ0i3πa

3. 2μ0iπa                                   

4. 2μ0iπa   

Subtopic:  Magnetic Field due to various cases |
 61%
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