A single current-carrying circular loop of radius R=3.2cm is placed next to a long straight wire as shown in Figure. A current i1=−4.3A is passing through the wire towards right. At a certain moment an electron is moving at a velocity, v =440.0j m/s toward the centre of the circular wire. At the instant shown in figure, the electron’s distance from the wire is d=5.5cm. The distance between the circular loop and the wire is R/2.
a) Compute the magnitude of the magnetic field at the centre c due to the current passing through the straight wire
b) What is the magnitude of magnetic field at the centre c due to the motion of the electron
c) In unit vector notation, find the magnetic force on the electron due to the current passing through the straight wire
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
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