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Magnetic Effects Of Current Test - 5

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Magnetic Effects Of Current Test - 5
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Select correct statement(s) regarding cyclotron

    Solution

    Charge particles accelerate due to magnetic field in dees and due to electric field in gap.

     

  • Question 2
    1 / -0

    A short wire of length L and mass m is placed along northsouth direction on rough surface of friction coefficient . A charge q instantly flows through this wire. Take horizontal and vertical components of magnetic field of earth BH and BV respectively. The distance travelled by wire before it comes to rest.

    Solution

    Let instantaneous current in wire due to charge flows I = dq/dt

    F = BvIL (impulsive horizontal force due to current)

    The wire gains velocity instantly  will come to rest due to friction 

     

  • Question 3
    1 / -0

    If Ab = Bc = L, Then The Net Magnetic Force On The Rod Is

    Solution

    The net magnetic force is given

     

  • Question 4
    1 / -0

    A conducting rod AC of length 4l is rotated about a point O in a uniform magnetic field directed into the paper. AO = l and OC = 3l. Then

    Solution

     

  • Question 5
    1 / -0

    A charged particle enters a uniform magnetic field with velocity vector making an angle of 30° with the magnetic field. The particle describes a helical trajectory of pitch x. The radius of the helix is

    Solution

    From equation (1) and (2), we get r = 

     

  • Question 6
    1 / -0

    A wire of length  metres carrying a current I amperes is bent in the form of a circle. The magnitude of the magnetic moment is

    Solution

    Magnetic moment m = AI = πr2I , where r is the radius of the circular loop. Now, the circumference of the circle = length of the wire, i.e.,

     

  • Question 7
    1 / -0

    Equal current I flows in circular wire segments ACB and ADB of equal radius r as shown in figure. If θ = 60°, the magnetic field at centre O is

    Solution

    Magnetic field due to a complete circular loop at its centre is

    ∴ Magnetic field due to segment ADB at centre O is

    Magnetic field due to segment ACB at centre O is

     

  • Question 8
    1 / -0

    Find The Magnetic Field At Point P As Shown In Figure Below 

    Solution

     

  • Question 9
    1 / -0

    A charged particle moves through a magnetic field directed perpendicular to its direction of motion. Which of the following quantities of the particle will not change?

    Solution

    Since,  is perpendicular to 

    Hence, magnitude of  will not change, but its direction will continuously change. That’s speed will not change, but velocity and momentum will change.

     

  • Question 10
    1 / -0

    A long solenoid of cross-sectional radius R has a thin insulated wire ring tightly put on its winding. One half of the ring has the resistance 10 times that of the other half. The magnetic induction produced by the solenoid varies with time as B = bt, whose b is a constant. Find the magnitude of the electric field strength in the ring.

    Solution

    Both upper half and lower half will have same effective area of πR2/2. so charge in flux will be same and induced emf will have same value. But since the resistance is different due to which current must be different but ring is as a whole is closed circuit so electric field will be generated to make the current flow in both parts to be same.

    ε + EπR − i10r = 0      ..... (i)

    ε − EπR − ir = 0          ..... (i)

     

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