2. A single current-carrying circular loop of radius \( R=6.4 \mathrm{~cm} \) is placed next to a long straight wire as shown in Figure. A current \( i_{1}=-7.6 \mathrm{~A} \) is passing through the wire towards the right. At a certain moment, an electron is moving at a velocity \( \overrightarrow{v^{\prime}}=570.0 \mathrm{j} \mathrm{m} / \mathrm{s} \) toward the center of the circular wire. At the instant shown in figure 2, the electron's distance from the wire is \( d=8.5 \mathrm{~cm} \). Figure 2 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 center \( c \) due to the current passing through the straight wire. [1] b) What is the magnitude of the magnetic field at the center \( c \) due to the motion of the electron? [1] c) In unit vector notation, find the magnetic force on the electron due to the current passing through the straight wire. [2] d) Calculate the magnitude and direction of the current to the circular wire to produce zero magnetic fields at its center c. Consider counter-clockwise circulation of current as positive. [1]