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 Science.. With Modern. -Update (Looseleaf)
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- Within the green dashed circle show in Figure P30.21, the magnetic field changes with time according to the expression B = 2.00t3 4.00t2 + 0.800, where B is in teslas, t is in seconds, and R = 2.50 cm. When t = 2.00 s, calculate (a) the magnitude and (b) the direction of the force exerted on an electron located at point P, which is at a distance r = 5.00 cm from the center of the circular field region. (c) At what instant is this force equal to zero? Figure P30.21arrow_forwardA metal rod of mass m slides without friction along two parallel horizontal rails, separated by a distance and connected by a resistor R, as shown in Figure P30.13. A uniform vertical magnetic field of magnitude B is applied perpendicular to the plane of the paper. The applied force shown in the figure acts only for a moment, to give the rod a speed v. In terms of m, , R, B, and v, find the distance the rod will then slide as it coasts to a stop. Figure P30.13arrow_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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