Concept explainers
Determine the magnetic field (in terms of I, a, and d) at the origin due to the current loop in Figure P29.9. The loop extends to infinity above the figure.
Figure P29.9
Answer to Problem 30.19P
Explanation of Solution
Given Info: current flowing through the loop is
Explanation:
Formula to calculate magnetic field given by Biot savarts law,
Formula to calculate
Write the expression to calculate
Similarly,
Differentiate above equation,
Substitute
On integrate both sides from limit
For length left to point
For length between
For length right to point
Net magnetic field at point
Substitute
Conclusion:
Therefore, magnetic field at point
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Chapter 30 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- A wire carrying a current I is bent into the shape of an exponential spiral, r = e, from = 0 to = 2 as suggested in Figure P29.47. To complete a loop, the ends of the spiral are connected by a straight wire along the x axis. (a) The angle between a radial line and its tangent line at any point on a curve r = f() is related to the function by tan=rdr/d Use this fact to show that = /4. (b) Find the magnetic field at the origin. Figure P29.47arrow_forwardDetermine the initial direction of the deflection of charged particles as they enter the magnetic fields shown in Figure P29.2.arrow_forwardTwo long, straight wires carry the same current as shown in Figure P30.22. One wire is parallel to the z axis and the other wire is parallel to the x axis as shown. Find an expression for the magnetic field at the origin.arrow_forward
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- Figure P30.10 shows a circular current-carrying wire. Using the coordinate system indicated (with the z axis out of the page), state the direction of the magnetic field at points A and B.arrow_forwardA circular coil 15.0 cm in radius and composed of 145 tightly wound turns carries a current of 2.50 A in the counterclockwise direction, where the plane of the coil makes an angle of 15.0 with the y axis (Fig. P30.73). The coil is free to rotate about the z axis and is placed in a region with a uniform magnetic field given by B=1.35jT. a. What is the magnitude of the magnetic torque on the coil? b. In what direction will the coil rotate? FIGURE P30.73arrow_forwardAn infinitely long wire carrying a current I is bent at a right angle as shown in Figure P22.30. Determine the magnetic field at point P, located a distance x from the corner of the wire. Figure P22.30arrow_forward
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