Concept explainers
(a)
The magnitude and direction of magnetic field at point A
.
(a)
Answer to Problem 7P
Explanation of Solution
Given Info: The current flowing through the conductor is
Explanation:
Diagram of three parallel conductor having current of magnitude
Figure (1)
Formula to calculate side of the square is,
Formula to calculate angle
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Write the expression to calculate magnetic field at point
Here,
Substitute
substitute
Write the expression to calculate y-component of magnetic field at
Substitute
Formula to calculate net magnetic field at point
Substitute
Hence, magnetic field at point
Conclusion:
Therefore magnetic field at point
(b)
magnitude and direction of magnetic field at point B
.
(b)
Answer to Problem 7P
Explanation of Solution
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Write the expression to calculate magnetic field at point
Here,
Substitute
substitute
Write the expression to calculate y-component of magnetic field at
Substitute
Formula to calculate net magnetic field at point
Substitute
Hence, magnetic field at point
Conclusion:
Therefore magnetic field at point
(c)
magnitude and direction of magnetic field at point C
.
(c)
Answer to Problem 7P
Explanation of Solution
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Formula to calculate magnetic field at point
Here
Substitute
Write the expression to calculate magnetic field at point
Here,
Substitute
Write the expression to calculate y-component of magnetic field at
Substitute
Formula to calculate net magnetic field at point
Substitute
Hence, magnetic field at point
Conclusion:
Therefore magnetic field at point
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Chapter 29 Solutions
Bundle: Physics for Scientists and Engineers, Volume 2, Loose-leaf Version, 10th + WebAssign Printed Access Card, Single-Term
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- Two long, straight, parallel wires carry currents that are directed perpendicular to the page as shown in Figure P30.9. Wire 1 carries a current I1, into the page (in the negative z direction) and passes through the x axis at x = +. Wire 2 passes through the x axis at x = 2a and carries an unknown current I2. The total magnetic field at the origin due to the current-carrying wires has the magnitude 20I1(2a). The current I2 can have either of two possible values, (a) Find the value of with the smaller magnitude, stating it in terms of I1, and giving its direction. (b) Find the other possible value of I2.arrow_forwardA 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_forwardFigure 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_forward
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