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 |
 84%
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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-axis with a velocity of v and enters a region of electric field E and magnetic field 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 |
 59%
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A current-carrying wire is placed in a uniform magnetic field in the shape of the curve \(y= \alpha sin ({\pi x \over L}),~0 \underline{<}x \underline{<}~2L\) 
. 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-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%
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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 |
 56%
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A particle of charge +q and mass m moving under the influence of a uniform electric field Ei^ and a uniform magnetic field  Bk^ follows a trajectory from P to Q as shown in the figure. The velocities at P and Q are vi^ and -2vj^ respectively. Which of the following statement(s) is/are correct?

                   

1. \(\mathrm{E}=\frac{3}{4} \frac{\mathrm{mv}^2}{\mathrm{qa}}\)
2. Rate of work done by electric field at P is\(\frac{3}{4} \frac{\mathrm{mv}^3}{\mathrm{a}}\)
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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