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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m /C. vacuum permittivity, €o = 8.854 × 10"F/m. Magnetic Permeability of vacuum, 4o = 12.566370614356 × 10-7 H /m. Magnitude of the Charge of one electron, e =-1.60217662 x 10-1º C. Mass of one electron, m. = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. R R/2 ↑ : d

Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m /C. vacuum permittivity, €o = 8.854 × 10"F/m. Magnetic Permeability of vacuum, 4o = 12.566370614356 × 10-7 H /m. Magnitude of the Charge of one electron, e =-1.60217662 x 10-1º C. Mass of one electron, m. = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. R R/2 ↑ : d

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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C?. vacuum permittivity, En = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m. = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. R/2 4. d A single current-carrying circular loop of radius R = 7.6 cm is placed next to a long straight wire as shown in Figure. A current i = -5.4 A is passing through the wire towards right. At a certain moment an electron is moving at a velocity v = 200.0 jm/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d = 6.7 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 c Give your answer to at least three significance digits. N/C b) What is the magnitude of magnetic field at the centre c due to the motion of the electron magnitude of magnetic field at the centre c due to the motion of the electron Give your answer to at least three significance digits. N. m?/C c) In unit vector notation, find the magnetic force on the electron due to the current passing through the straight wire. r component of the magnetic force Give your answer to at least three significance digits. N y component of the magnetic force Give your answer to at least three significance digits. z component of the magnetic force Give your answer to at least three significance digits. 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:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N · m² /C?. vacuum permittivity, En = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, Ho = 12.566370614356 x 10 H/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, m. = 9.10938356 x 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. R/2 4. d A single current-carrying circular loop of radius R = 7.6 cm is placed next to a long straight wire as shown in Figure. A current i = -5.4 A is passing through the wire towards right. At a certain moment an electron is moving at a velocity v = 200.0 jm/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d = 6.7 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 c Give your answer to at least three significance digits. N/C b) What is the magnitude of magnetic field at the centre c due to the motion of the electron magnitude of magnetic field at the centre c due to the motion of the electron Give your answer to at least three significance digits. N. m?/C c) In unit vector notation, find the magnetic force on the electron due to the current passing through the straight wire. r component of the magnetic force Give your answer to at least three significance digits. N y component of the magnetic force Give your answer to at least three significance digits. z component of the magnetic force Give your answer to at least three significance digits. 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
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