A 100 turns coil shown in figure carries a current of 2 amp in a magnetic field B=0.2Wb/m2. The torque acting on the coil is

                   

(a) 0.32 Nm tending to rotate the side AD out of the page

(b) 0.32 Nm tending to rotate the side AD into the page

(c) 0.0032 Nm tending to rotate the side AD out of the page

(d) 0.0032 Nm tending to rotate the side AD into the page

Concept Questions :-

Magnetic moment
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A current of 5 amperes is flowing in a wire of length 1.5 meters. A force of 7.5 N acts on it when it is placed in a uniform magnetic field of 2 Tesla. The angle between the magnetic field and the direction of the current is:


1. 30°                     2. 45°

3. 60°                     4. 90°

Concept Questions :-

Lorentz force
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The field normal to the plane of a wire of n turns and radius r which carries a current i is measured on the axis of the coil at a small distance h from the centre of the coil. This is smaller than the field at the centre by the fraction

(a) 32h2r2                       (b) 23h2r2

(c)  32r2h2                       (d) 23r2h2 

Concept Questions :-

Magnetic field due to various cases
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In hydrogen atom, the electron is making 6.6×1015rev/sec around the nucleus in an orbit of radius 0.528 Å. The magnetic moment A-m2 will be

(a) 1×10-15                      (b) 1×10-10

(c) 1×10-23                       (d) 1×10-27

Concept Questions :-

Magnetic moment
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A proton of mass 1.67×10-27kg and charge 1.6×10-19C is projected with a speed of 2×106m/s at an angle of 60° to the X-axis. If a uniform magnetic field of 0.104 Tesla is applied along Y-axis, the path of the proton is:

1. A circle of radius = 0.2 m and time period π×10-7s

2. A circle of radius = 0.1 m and time period 2π×10-7s 

3. A helix of radius = 0.1 m and time period 2π×10-7s

4. A helix of radius = 0.2 m and time period 4π×10-7s

Concept Questions :-

Lorentz force
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The magnetic field at the centre of a circular coil of radius r is π times that due to a long straight wire at a distance r from it, for equal currents. Figure here shows three cases : in all cases the circular part has radius r and straight ones are infinitely long. For same current the B field at the centre P in cases 1, 2, 3 have the ratio

  

(a) -π2:π2 :3π4-12

(b) -π2+1:π2+1:3π4+12

(c) -π2:π2:3π4

(d) -π2-1:π2-14:3π4+12

Concept Questions :-

Magnetic field due to various cases
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A proton and a deuteron both having the same kinetic energy, enter perpendicularly into a uniform magnetic field B. For the motion of proton and deuteron on a circular path of radius Rpand Rd respectively, the correct statement is:


(a) Rd=2Rp            (b) Rd=Rp/2

(c) Rd=Rp                  (d) Rd=2Rp

 

Concept Questions :-

Lorentz force
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Two straight long conductors AOB and COD are perpendicular to each other and carry currents i1 and i2 . The magnitude of the magnetic induction at a point P at a distance a from the point O in a direction perpendicular to the plane ACBD is: 

1. μ02πa(i1+i2)                    2. μ02πa(i1-i2)

3. μ02πai12+i221/2                4. μ02πai1i2(i1+i2)

Concept Questions :-

Magnetic field due to various cases
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The charge on a particle Y is double the charge on particle X. These two particles X and Y after being accelerated through the same potential difference enter a region of the uniform magnetic field and describe circular paths of radii R1 and R2 respectively. The ratio of the mass of X to that of Y is:

(a) 2R1R22                      (b) R12R22

(c)  R122R22                           (d) 2R1R2 

Concept Questions :-

Lorentz force
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In the given figure, the electron enters into the magnetic field. It deflects in ...... direction

                      

(a) + ve X direction

(b) – ve X direction

(c) + ve Y direction

(d) – ve Y direction

Concept Questions :-

Lorentz force
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