Concept explainers
Check Your Understanding Using Example 12.1, at what distance would P have to be to measure a magnetic field half of tire given answer?
The distance at which the magnetic field is half the original magnetic field.
Answer to Problem 12.1CYU
The distance at which the magnetic field is half the original magnetic field is
Explanation of Solution
Given:
The value of magnetic field is
The length of wire is
The current in the wire is
The value of angle is
The distance of wire from point is
Formula used:
The expression for new magnetic field at point P is:
Here,
The expression for original magnetic field at point P.
Here,
New magnetic field is half of the original magnetic field.
Here,
Take ratio of equation (2) and equation (1).
Calculation:
Substitute
Conclusion:
Thus, the distance at which the magnetic field is half the original magnetic field is
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