Figure shows the cross-sectional view of the partially hollow cylindrical conductor with inner radius 'R' and outer radius '2R' carrying uniformly distributed current along it's axis. The magnetic induction at point 'P' at a distance 3R2 from the axis of the cylinder will be:

                     

1. Zero                               

2. 5μ0i72πR

3. 7μ0i18πR                             

4.  5μoi36πR

Subtopic:  Magnetic Field due to various cases |
 53%
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A long wire AB is placed on a table. Another wire PQ of mass 1.0 g and length 50 cm is set to slide on two rails PS and QR. A current of 50A is passed through the wires. At what distance above AB, will the wire PQ be in equilibrium

                     

1. 25 mm                           

2. 50 mm

3. 70 mm                           

4. 100 mm

Subtopic:  Lorentz Force |
 58%
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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<pBq. The particle is deflected by an angle θ in crossing the field, then:

  

1.  \(\sin \theta={Bqd \over p}\) 2. \(\sin \theta={p \over Bqd}\)
3. \(\sin \theta={Bp \over qd}\) 4. \(\sin \theta={pd \over Bq}\)
Subtopic:  Lorentz Force |
 64%
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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 |
From NCERT
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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 |
 55%
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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 θ=πn

                               

(a) μoi2πatanπn                                                (b) μ0ni2πatanπn

(c)2πniaμ0tanπn                                             (d) ni2aμ0tanπn

Subtopic:  Magnetic Field due to various cases |
 70%
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The unit vectors i^, j^ and k^ are as shown below. What will be the magnetic field at O in the following figure?

(a) μ04πia2-π2j^             (b) μ04πia2+π2j^

(c) μ04πia2+π2i^              (d) μ04πia2+π2k^ 

Subtopic:  Magnetic Field due to various cases |
 70%
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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's direction. What will happen to the wire?

          \(F ~\)

1. No force 2. A stretching force
3. A compressive force 4. A torque
Subtopic:  Current Carrying Loop: Force & Torque |
 52%
From NCERT
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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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