A particle with charge \(q\), moving with a momentum \(p\), enters a uniform magnetic field normally. The magnetic field has magnitude \(B\) and is confined to a region of width \(d\), where \(d< \frac{p}{Bq}.\) The particle is deflected by an angle \(\theta\) in crossing the field, then:

       

1.  \(\sin \theta=\frac{Bqd}{p}\) 2. \(\sin \theta=\frac{p}{Bqd}\)
3. \(\sin \theta=\frac{Bp}{qd}\) 4. \(\sin \theta=\frac{pd}{Bq}\)

Subtopic:  Lorentz Force |
 65%
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The same current i = 2A is flowing in a wireframe as shown in the figure. The frame is a combination of two equilateral triangles ACD and CDE of side 1m. It is placed in uniform magnetic field B = 4T acting perpendicular to the plane of the frame. The magnitude of the magnetic force acting on the frame is:

                        

1. 24 N                                        
2. Zero
3. 16 N                                         
4.
 8 N

Subtopic:  Lorentz Force |
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In the given figure net magnetic field at O will be  i

   

(a) μ0i3πa4-π2                                 (b) μ0i3πa4+π2

(c) 2μ0i3πa4+π2                                  (d) 2μ0i3πa4-π2

Subtopic:  Magnetic Field due to various cases |
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In the following figure a wire bent in the form of a regular polygon of n sides is inscribed in a circle of radius a. Net magnetic field at centre will be \(\left(\theta = \frac{\pi}{n}\right)\)

 

                               

1. \(\frac{\left(\mu\right)_{o} i}{2 πa} tan \frac{\pi}{n}\)                                               
2. \(\frac{\left(\mu\right)_{0} n i}{2 πa} tan \frac{\pi}{n}\)

3.\(\frac{2}{\pi} \frac{n i}{a} \left(\mu\right)_{0} tan \frac{\pi}{n}\)                                           
4. \(\frac{n i}{2 a} \left(\mu\right)_{0} tan \frac{\pi}{n}\)

Subtopic:  Magnetic Field due to various cases |
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 The unit vectors \(\hat{i} ,   \hat{j}   ~\text{and} ~ \hat{k}\) are as shown below. What will be the magnetic field at \(O\) in the following figure?

                                          

1. \(\frac{\mu_{0}}{4 \pi} \frac{i}{a} 2 - \frac{\pi}{2} \hat{j}\)             
2. \(\frac{\mu_{0}}{4 \pi} \frac{i}{a}2 + \frac{\pi}{2} \hat{j}\)
3. \(\frac{\mu_{0}}{4 \pi} \frac{i}{a}2 + \frac{\pi}{2} \hat{i}\)             
4. \(\frac{\mu_{0}}{4 \pi} \frac{i}{a} 2 + \frac{\pi}{2} \hat{k}\) 


 

Subtopic:  Magnetic Field due to various cases |
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A particle of charge q and mass m moves in a circular orbit of radius r with angular speed ω. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends on

(1) ω and q

(2) ω, q and m

(3) q and m                     

(4) ω and m

Subtopic:  Magnetic Moment |
 72%
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A current \(I\) is carried by an elastic circular wire of length \(L\). It is placed in a uniform magnetic field \(B\) (out of paper) with its plane perpendicular to \(B'\text{s}\) direction. What will happen to the wire?

       

1. No force 2. A stretching force
3. A compressive force 4. A torque
Subtopic:  Current Carrying Loop: Force & Torque |
 52%
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Wires 1 and 2 carrying currents i1 and i2 respectively are inclined at an angle θ to each other. What is the force on a small element dl of wire 2 at a distance of r from wire 1 (as shown in figure) due to the magnetic field of wire 1

                                       

(a) μ02πri1i2dl tanθ                              (b) μ02πri1i2dl sinθ

(c) μ02πri1i2dl cosθ                               (d) μ04πri1i2dl sinθ

Subtopic:  Force between Current Carrying Wires |
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A conducting loop carrying a current I is placed in a uniform magnetic field pointing into the plane of the paper as shown. The loop will have a tendency to

                                    

(1) Contract                                       

(2) Expand 

(3) Move towards +ve x -axis               

(4) Move towards -ve x -axis

Subtopic:  Current Carrying Loop: Force & Torque |
 72%
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A metallic block carrying current I is subjected to a uniform magnetic induction B as shown in the figure. The moving charges experience a force  F given by ........... which results in the lowering of the potential of the face ........ Assume the speed of the carriers to be v

                   

(1) eVBk^ , ABCD                               

(2) eVBk^ , EFGH

(3) -eVBk^ , ABCD                             

(4) -eVBk^ , EFGH

Subtopic:  Lorentz Force |
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