Concept explainers
(a)
The sketch of the magnetic field pattern in the
(a)
Answer to Problem 72CP
The sketch of the magnetic field pattern in the
Explanation of Solution
The sketch of the magnetic field pattern in the
Figure-(1)
The current in the infinitely long wires are in the negative
(b)
The value of the magnetic field at the origin.
(b)
Answer to Problem 72CP
The value of the magnetic field at the origin is zero.
Explanation of Solution
There is symmetry in the loop, so the contribution of each wire to the magnetic field at the origin will be same in magnitude but opposite in the direction. So the net magnetic field at the origin will be zero.
Therefore, the value of the magnetic field at the origin is zero.
(c)
The value of the magnetic field at
(c)
Answer to Problem 72CP
The value of the magnetic field at
Explanation of Solution
Write the expression for the magnetic field.
Here,
Conclusion:
Substitute
Therefore, the value of the magnetic field at
(d)
The magnetic field at points along the
(d)
Answer to Problem 72CP
The magnetic field at points along the
Explanation of Solution
Write the equation of the magnetic field in
So, this can be written as,
Conclusion:
Substitute
Therefore, the magnetic field at points along the
(e)
The distance along the positive
(e)
Answer to Problem 72CP
The distance along the positive
Explanation of Solution
Write the condition the maximum magnetic field.
Substitute
Conclusion:
Substitute
Therefore, the distance along the positive
(f)
The maximum value of the magnetic field.
(f)
Answer to Problem 72CP
The maximum value of the magnetic field is
Explanation of Solution
Conclusion:
Substitute
Therefore, the maximum value of the magnetic field is
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Chapter 30 Solutions
Physics for Scientists and Engineers with Modern Physics, Technology Update
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- A magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?arrow_forwardIn Figure P22.43, the current in the long, straight wire is I1 = 5.00 A and the wire lies in the plane of the rectangular loop, which carries a current I2 = 10.0 A. The dimensions in the figure are c = 0.100 m, a = 0.150 m, and = 0.450 m. Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire. Figure P22.43 Problems 43 and 44.arrow_forward
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