(a)
The magnitude of magnetic force per unit length exerted by one wire on the other.
(a)
Answer to Problem 1SP
The force is
Explanation of Solution
Given Info The current through the wires are
Write the formula to calculate the magnetic force per unit length between two parallel current carrying wires.
Here,
The value of
Substitute
Conclusion:
Therefore, the force is
(b)
The direction of force exerted by one on the other wire.
(b)
Answer to Problem 1SP
The force will be perpendicular to both current and magnetic field.
Explanation of Solution
The direction of magnetic force exerted by one on other can be found using right hand thumb rule. Use right hand to find the direction. Let the index finger point in direction of current flow, middle finger points in direction of magnetic field, direction of magnetic force is given by the right hand thumb.
From the above rule, it is clear that the force acts in perpendicular direction to both current and magnetic field. Since the current flow through wires are in opposite directions, the wires will repel each other.
Conclusion:
Therefore, the force will be perpendicular to both current and magnetic field.
(c)
The magnetic force exerted on wire with current
(c)
Answer to Problem 1SP
The force is
Explanation of Solution
Given Info The current through the wires are
Write the formula to calculate the magnetic force between two parallel current carrying wires.
Substitute
Conclusion:
Therefore, the force is
(d)
The magnetic field produced by
(d)
Answer to Problem 1SP
The magnetic field is
Explanation of Solution
Given Info: The separation between wires is
Write the formula to calculate magnetic field from magnetic force.
Here,
Substitute
Conclusion:
Therefore, the magnetic field is
(e)
The direction of magnetic field produced by
(e)
Answer to Problem 1SP
The magnetic field is perpendicular to plane of the page and points into the page.
Explanation of Solution
The direction of magnetic field due to current flow is given by right hand thumb rule. If right hand’s thumb points in direction of current flow, curled fingers represent the direction of magnetic field.
In the figure, the current
Conclusion:
Thus, the magnetic field is perpendicular to plane of the page and points into the page.
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