Concept explainers
(a)
To Find: The speed of rod as a function of time assuming no friction between rail and rod.
(a)
Answer to Problem 75GP
Explanation of Solution
Given info:
Distance between the wire
Mass of light rod
Magnetic field
Current through the system
Formula used:
Magnetic force:
Where,
Newton’s second law:
Where,
Calculation:
Magnetic force acting on rod would be equal to Newton’s second law:
i.e.
Integrating both side:
Conclusion:
Speed of rod as a function of time:
(b)
To Find: The speed of rod as a function of time in the presence of friction between rail and rod.
(b)
Answer to Problem 75GP
Explanation of Solution
Given info:
Distance between the wire
Mass of light rod
Magnetic field
Current through the system
Formula used:
Magnetic force:
Where,
Newton’s second law:
Where,
Friction force:
Calculation:
From Newton’s second law,
Integrating both side:
Conclusion:
Speed of rod as a function of time in the presence of friction:
(c)
To Find: The moving direction of rod if the current through it heads north.
(c)
Explanation of Solution
Introduction:
Fleming’s left-hand rule:
When a current carrying conductor is placed in a magnetic field, the direction of motion of the conductor can be given by Fleming’s left-hand rule.
In Fleming’s left-hand rule, middle finger is directed towards current and fore finger directed towards the magnetic field and therefore, the direction of thumb gives the direction of motion of conductor.
Pointing the middle finger of left hand towards north and fore finger out of the plan, the thumb is directed towards the east.
Conclusion:
Hence, the direction of motion of the rod is towards the east.
Chapter 20 Solutions
Physics: Principles with Applications
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