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Two long parallel wires of zero resistance are connected to each other by a battery of 1.0 V. The separation between the wires is 0.5 m. A metal bar, which is perpendicular to the wire and of resistance 10 Ω moves on these wires when a magnetic field of 0.02 tesla is acting perpendicular to the plane containing the bar and the wires. If the mass of the bar is 0.002 kg.
  • a)
    Velocity of the bar is 100 
  • b)
    Velocity of the bar is 50 
  • c)
    The steady state velocity is 100
  • d)
    The steady state velocity is 50
Correct answer is option 'A,C'. Can you explain this answer?
Verified Answer
Two long parallel wires of zero resistance are connected to each other...
Due to battery current I (= E/R)the rod in the magnetic field B will experience a force
 ...(i)
which will accelerate the rod. However, due to motion of the rod in the field, an emf  will be induced in it. Due to this induced emf, the induced current   will result in a force
...(ii)
which will oppose the motion of the rod as shown in Fig. So the equation of motion of the rod will be
F - Fm = ma
which in the light of equation (1) and (2) reduces to

or, 
On integrating it with initial condition v = 0 at t = 0, we have
 
 with  ..(iv)
In this problem, as

So,  Ans.
This is the required result and from this it is clear that the velocity of the rod will increase exponentially with time and will reach the steady state value (called terminal velocity ) when v becomes independent of t
i.e., 
And then, 
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Most Upvoted Answer
Two long parallel wires of zero resistance are connected to each other...
Due to battery current I (= E/R)the rod in the magnetic field B will experience a force
 ...(i)
which will accelerate the rod. However, due to motion of the rod in the field, an emf  will be induced in it. Due to this induced emf, the induced current   will result in a force
...(ii)
which will oppose the motion of the rod as shown in Fig. So the equation of motion of the rod will be
F - Fm = ma
which in the light of equation (1) and (2) reduces to

or, 
On integrating it with initial condition v = 0 at t = 0, we have
 
 with  ..(iv)
In this problem, as

So,  Ans.
This is the required result and from this it is clear that the velocity of the rod will increase exponentially with time and will reach the steady state value (called terminal velocity ) when v becomes independent of t
i.e., 
And then, 
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Two long parallel wires of zero resistance are connected to each other by a battery of 1.0 V. The separation between the wires is 0.5 m. A metal bar, which is perpendicular to the wire and of resistance 10 Ω moves on these wires when a magnetic field of 0.02 tesla is acting perpendicular to the plane containing the bar and the wires. If the mass of the bar is 0.002 kg.a)Velocity of the bar is 100b)Velocity of the bar is 50c)The steady state velocity is 100d)The steady state velocity is 50Correct answer is option 'A,C'. Can you explain this answer?
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Two long parallel wires of zero resistance are connected to each other by a battery of 1.0 V. The separation between the wires is 0.5 m. A metal bar, which is perpendicular to the wire and of resistance 10 Ω moves on these wires when a magnetic field of 0.02 tesla is acting perpendicular to the plane containing the bar and the wires. If the mass of the bar is 0.002 kg.a)Velocity of the bar is 100b)Velocity of the bar is 50c)The steady state velocity is 100d)The steady state velocity is 50Correct answer is option 'A,C'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about Two long parallel wires of zero resistance are connected to each other by a battery of 1.0 V. The separation between the wires is 0.5 m. A metal bar, which is perpendicular to the wire and of resistance 10 Ω moves on these wires when a magnetic field of 0.02 tesla is acting perpendicular to the plane containing the bar and the wires. If the mass of the bar is 0.002 kg.a)Velocity of the bar is 100b)Velocity of the bar is 50c)The steady state velocity is 100d)The steady state velocity is 50Correct answer is option 'A,C'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two long parallel wires of zero resistance are connected to each other by a battery of 1.0 V. The separation between the wires is 0.5 m. A metal bar, which is perpendicular to the wire and of resistance 10 Ω moves on these wires when a magnetic field of 0.02 tesla is acting perpendicular to the plane containing the bar and the wires. If the mass of the bar is 0.002 kg.a)Velocity of the bar is 100b)Velocity of the bar is 50c)The steady state velocity is 100d)The steady state velocity is 50Correct answer is option 'A,C'. Can you explain this answer?.
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