R R|2 d A single current-carrying circular loop of radius R = 3.6cm is placed next to a long straight wire as shown in Figure. A current i1= -4.6 A is passing through the wire towards right. L At a certain moment an electron is moving at a velocity v = -510.0 j m/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d = 2.4cm. 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 point c due to the current passing through the straight wire. (Ans in N/C) B) What is the magnitude of magnetic field at the centrec due to the motion the electron. ( Ans in N.m^2/C) C) In unit vector notation, find the magnetic force(x,y,z component) on the electron due to the current passing through the straight wire. (Ans in N) - - NO

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Please solve all. Use the following constants if necessary. Coulomb constant, k = 8.987×10^9 N⋅m^2/C^2 . Vacuum permitivity, ϵ0= 8.854×10^−12 F/m. Magnetic Permeability of vacuum, μ0 = 12.566370614356×10^−7 H/m. Magnitude of the Charge of one electron, e = −1.60217662×10^−19 C. Mass of one electron, m_e = 9.10938356×10^−31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, μC means microcoulomb .
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A single current-carrying circular loop of radius R = 3.6cm is placed
next to a long straight wire as shown in Figure. A current i1= -4.6 A is
passing through the wire towards right. L At a certain moment an
electron is moving at a velocity v= -510.0 j m/s toward the centre of
the circular wire. At the instant shown in figure, the electron's
distance from the wire is d = 2.4cm. 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 point c due to the
current passing through the straight wire. (Ans in N/C)
the centre c due to the
B) What
motion of the electron. ( Ans in N.m^2/C)
the magnitude of magnetic field
C) In unit vector notation, find the magnetic force(x,y,z component) on
the electron due to the current passing through the straight wire. (Ans
in N)
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)? ( Ans in A)
-ON
Transcribed Image Text:R с R|2 i, d A single current-carrying circular loop of radius R = 3.6cm is placed next to a long straight wire as shown in Figure. A current i1= -4.6 A is passing through the wire towards right. L At a certain moment an electron is moving at a velocity v= -510.0 j m/s toward the centre of the circular wire. At the instant shown in figure, the electron's distance from the wire is d = 2.4cm. 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 point c due to the current passing through the straight wire. (Ans in N/C) the centre c due to the B) What motion of the electron. ( Ans in N.m^2/C) the magnitude of magnetic field C) In unit vector notation, find the magnetic force(x,y,z component) on the electron due to the current passing through the straight wire. (Ans in N) 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)? ( Ans in A) -ON
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