Concept explainers
(a)
The magnetic field magnitude due to wire A at the position of wire B.
(a)
Answer to Problem 44P
The magnetic field due to wire A at the position of wire B is
Explanation of Solution
Given:
Current in the wire A is 2 A and in wire B is 4 A flowing in the same direction. Both the wires are 15 cm apart.
Formula used:
The magnetic field is calculated as
Calculation:
The magnetic field due to wire A at the position of wire B is
Conclusion:
The magnetic field due to wire A at the position of wire B is
(b)
The magnetic field due to wire B at the position of wire A.
(b)
Answer to Problem 44P
The magnetic field due to wire B at the position of wire A is
Explanation of Solution
Given:
Current in the wire A is 2 A and in wire B is 4 A flowing in the same direction. Both the wires are 15 cm apart.
Formula used:
The magnetic field is calculated as
Calculation:
The magnetic field due to wire B at the position of wire A is
Conclusion:
The magnetic field due to wire A at the position of wire B is
(c)
To identify: Whether the two magnetic fields will equal and opposite.
(c)
Answer to Problem 44P
The two magnetic fields are not equal and opposite.
Explanation of Solution
Introduction:
When a wire carries current then the movement of charges induces magnetic field in the wire.
Here, both wires carry a separate value of the current and magnetic field. Every wire that carries movement of charges i.e. current, it induces its separate magnetic field. It does not depend on the magnetic field caused by another wire.
Conclusion:
Thus, the magnetic field induces by separate wires does not have equal magnitudes and certainly they are not opposite because they have not direct relation whatsoever.
(d)
The force on wire A due to wire B and the force on wire B due to wire A.
To identify: Whether these are forces equal and opposite.
(d)
Answer to Problem 44P
The force on wire A due to wire B and force on wire B due to wire A is same and equal to
Explanation of Solution
Given:
Current in the wire A is 2 A and in wire B is 4 A flowing in the same direction. Both the wires are 15 cm apart.
Formula used:
The magnetic force is calculated as
Calculation:
Since both the wires carry current in the same direction. The magnetic force on wire B due to wire A and on wire B due to wire A will have equal magnitude.
These two forces per unit length will have equal magnitude but they will act in the opposite direction because they are a pair of
Conclusion:
The force on wire A due to wire B and on wire B due to wire A is same and equal to
Chapter 20 Solutions
Physics: Principles with Applications
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