A single current-carrying circular loop of radius R= 7.9 cm is placed next to a long straight wire as shown in Figure. A current i = -4.9 A is passing through the wire towards right. At a certain moment an electron is moving at a velocity v = 460.0 jm/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d = 4.8 cm. The z axis points out of the page in the coordinate system shown in the figure which is represented by the circle with a dot inside.

Principles of Physics: A Calculus-Based Text
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Chapter22: Magnetic Forces And Magnetic Fields
Section: Chapter Questions
Problem 27P
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d) Calculate the magnitude and direction of the current to the circular wire to produce zero magnetic field at its centre c. Consider counter-clockwise
circulation of current as positive.
Value of the current (with sign)
Give your answer to at least three significance digits.
A
Transcribed Image Text:d) Calculate the magnitude and direction of the current to the circular wire to produce zero magnetic field at its centre c. Consider counter-clockwise circulation of current as positive. Value of the current (with sign) Give your answer to at least three significance digits. A
Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m?/C2. Vacuum permittivity, en = 8.854 x 10-12 F/m. Magnetic
Permeability of vacuum, 4o = 12.566370614356 x 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one
9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb
electron, me
R
R|2 ↑ :
d
A single current-carrying circular loop of radius R = 7.9 cm is placed next to a long straight wire as shown in Figure. A current i = -4.9A is passing
through the wire towards right. At a certain moment an electron is moving at a velocity v = 460.0 jm/s toward the centre of the circular wire. At the
instant shown in figure, the electron's distance from the wire is d = 4.8 cm.
The z axis points out of the page in the coordinate system shown in the figure which is represented by the circle with a dot inside.
a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire.
Magnitude of magnetic field at point e
Give your answer to at least three significance digits.
N/C
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m?/C2. Vacuum permittivity, en = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, 4o = 12.566370614356 x 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means microcoulomb electron, me R R|2 ↑ : d A single current-carrying circular loop of radius R = 7.9 cm is placed next to a long straight wire as shown in Figure. A current i = -4.9A is passing through the wire towards right. At a certain moment an electron is moving at a velocity v = 460.0 jm/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d = 4.8 cm. The z axis points out of the page in the coordinate system shown in the figure which is represented by the circle with a dot inside. a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire. Magnitude of magnetic field at point e Give your answer to at least three significance digits. N/C
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