Concept explainers
(a)
The magnitude and direction of magnetic field at the point
(a)
Answer to Problem 37P
The direction of the magnetic field is towards the bottom of the page and magnitude of magnetic field at the point
Explanation of Solution
From the figure 1
Write the expression to calculate the side of the square,
Write the formula to calculate the angle
Figure.2 shows the direction of the magnetic fields
Write the expression for magnetic field at point
Here,
Substitute
Write the expression for magnetic field at point
Here,
Substitute
Write the expression for magnetic field at point
Here,
Substitute
Write the expression to calculate magnetic field at the point
Substitute
Conclusion:
Substitute
Write the expression to calculate the
Substitute
Write the expression to calculate the net magnetic field at point
Substitute
The direction of the magnetic field is towards the bottom of the page and magnitude of magnetic field at the point
(b)
The magnitude and direction of the magnetic field at the point
(b)
Answer to Problem 37P
The magnitude of magnetic field at point
Explanation of Solution
The sum of magnetic fields due to conductors 1 and 2 at point
Write the relation for the net magnetic field at point
Calculation:
Substitute
Therefore, the magnitude of magnetic field at point
(c)
The magnitude and direction of the magnetic field at the point
(c)
Answer to Problem 37P
The net magnitude of the magnetic field at the point
Explanation of Solution
Figure.3 shows the direction of the magnetic fields
The net magnetic field at point
Conclusion:
Therefore, the net magnetic field at the point
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Chapter 22 Solutions
Principles of Physics
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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_forwardFigure CQ19.7 shows a coaxial cable carrying current I in its inner conductor and a return current of the same magnitude in the opposite direction in the outer conductor. The magnetic field strength at r = r0 is Find the ratio B/B0, at (a) r = 2r0 and (b) r = 4r0. Figure CQ19.7arrow_forward
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