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Electromagnetic Induction Test - 75

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Electromagnetic Induction Test - 75
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  • Question 1
    1 / -0
    Two coils of self-inductances $$ L_1 and L_2 $$ are placed so closed to each other that the effective flux in one coil is completely linked with the other, then the mutual inductance M between them is given by-
    Solution

  • Question 2
    1 / -0
    In a certain region static electric and magnetic fields exist. The magnetic field is given by $$\vec{B} = B_0 (\hat{i} + 2\hat{j} -4\hat{k})$$. If a test charge moving with a velocity $$\vec{v} = v_0 (3\hat{i} - \hat{j} + 2\hat{k})$$ experiences no force in that region, then the electric field in the region, in SI units, is:
    Solution

  • Question 3
    1 / -0
    A uniform but time varying magnetic field exists in cylindrical region and directed into the appear. If field decreases with time and a positive charge placed at any point inside the region, then if moves

    Solution
    As magnetic field is decreasing so induced electric field should be in this way so that it will increase magnetic field through loop so current will flow clockwise if positively charged is placed as some point it will move clockwise or in direction showing by arrow 4.
  • Question 4
    1 / -0
    A coil having n turns and resistance $$R\Omega$$, is connected in series with resistance $$R$$. This combination is moved in time t seconds from a magnetic field $$W_{1}$$ weber to $$W_{2}$$ weber. The induced current in the circuit is 
    Solution

  • Question 5
    1 / -0
    A thin semicircular conducting ring of radius R is falling with its plane vertical in a horizantal magnetic induction B as shown in the fig. At the position MNQ$$ the speed of the ring is v. then, the potential difference developed across the ring is

    Solution

  • Question 6
    1 / -0
    A charge of $${10^{ - 6}}C$$ is describing a circular path of radius $$1$$ cm making $$5$$ revolution per second . The magnetic induction field at the centre of the circle is 
    Solution

  • Question 7
    1 / -0
    A circular loop of radius A is placed in the same plane as a long straight wire carrying a current I. The centre of the loop is at a distance  r from the wire where r>>a . The loop is moved away from the wire with a constant velocity v. The induced emf in the loop is

    Solution

  • Question 8
    1 / -0
    A long metal rod moves at a constant velocity in the direction perpendiular to the length and at constant magnetic field. choose the correct statement
    Solution

  • Question 9
    1 / -0
    A conducting circular ring and a conducting elliptical ring both are moving pure transnationally in a uniform magnetic field of strength $$B$$ as shown in figure on a horizontal conducting pane potential difference between top most point of circle and ellipse is:

  • Question 10
    1 / -0
    A coil having $$100$$ turns and area of $$0.001 \, m^2 $$ is free to rotate about its diametric axis; the coil is placed with its plane perpendicular to magnetic field of $$1.0 \, \dfrac{Wb}{m^2}$$. If the coil is rotated rapidly through an angle of $$180^0$$, how much charge will flow through the coil ? The resistance of the coil is $$10 \,\Omega $$ 
    Solution

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