Concept explainers
(a)
The magnitude and the direction of the net magnetic field at the mid way between the wires.
(a)
Answer to Problem 20P
The magnitude is
Explanation of Solution
Write the expression to obtain the magnetic field along the conductor.
Here,
The net magnetic field at the mid way between the wires is as shown in the figure below.
Figure-(1)
Write the expression to obtain the magnetic field due to the wire
Here,
Substitute
Write the expression to obtain the magnetic field due to the wire
Here,
Substitute
Write the expression to obtain the net magnetic field at the mid way between the wires.
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the magnitude is
(b)
The magnitude and the direction of the net magnetic field at point
(b)
Answer to Problem 20P
The magnitude of net magnetic field at point
Explanation of Solution
The net magnetic field at point
Figure-(2)
Write the expression to obtain the magnetic field due to the wire
Here,
Substitute
Write the expression to obtain the magnetic field due to the wire
Here,
Substitute
Write the expression to obtain the net magnetic field at the distance
Here,
Write the expression to obtain the magnitude of the net magnetic field at the distance
Here,
Write the expression to obtain direction of the net magnetic field at point
Here,
Conclusion:
Substitute
The value of
Substitute
Substitute
The value of
Substitute
Substitute
Substitute
Substitute
Therefore, the magnitude of net magnetic field at point
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Chapter 30 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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- A wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24arrow_forwardFor both sketches in Figure P30.56, there is a 3.54-A current, a magnetic field strength B 0.650 T. and the angle is 32.0. Find the magnetic force per unit length (magnitude and direction) exerted on the current-carrying conductor in both cases.arrow_forward
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