Concept explainers
(a)
The possibility of the situation and any other possibility of the situation.
(a)
Answer to Problem 42P
Yes, the situation is possible and the only possibility is placing the third wire at a distance at which the force between wire 1 and 3 balances the force between wire 2 and 3.
Explanation of Solution
Given info: The
The orientation of the wires is shown in the figure below.
Figure (1)
The formula to calculate the magnitude of force per unit length is,
Here,
For the stability of wire 3 the magnetic force due to wire 1 on 3 must be equal to that of magnetic force due to wire 2 on 3
For equilibrium of wire 3,
From equation (1)
The above equation would be satisfied for only a particular position of wire 3 with respect to wire 1 and 2.
Thus, the situation is possible and the only possibility is placing the third wire at a distance at which the force between wire 1 and 3 balances the force between wire 2 and 3.
Conclusion:
Therefore, the situation is possible and the only possibility is placing the third wire at a distance at which the force between wire 1 and 3 balances the force between wire 2 and 3.
(b)
The position of wire 3.
(b)
Answer to Problem 42P
The position of wire 3 is
Explanation of Solution
Given info: The electric current in wire 1 is
The formula to calculate the magnitude of force per unit length is,
Here,
For the stability of wire 3 the magnetic force due to wire 1 on 3 must be equal to that of magnetic force due to wire 2 on 3
For equilibrium of wire 3,
From equation (2)
Substitute
The distance of the wire 3 is
Thus, the position of wire 3 is
Conclusion:
Therefore, the position of wire 3 is
(c)
The magnitude and direction of the current in wire 3.
(c)
Answer to Problem 42P
The magnitude of current in wire 3 is
Explanation of Solution
Given info: The electric current in wire 1 is
For the stability of wire 1 the magnetic force due to wire 1 on 3 must be equal to that of magnetic force due to wire 2 on 1
For equilibrium of wire 3,
From equation (2)
Here,
Substitute
The magnitude of electric current in wire 3 is
Conclusion:
Therefore, the magnitude of current in wire 3 is
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Chapter 22 Solutions
Principles of Physics
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