Figure 1 shows the scenario where negative charges (electrons) are placed within and outside of a magnetic field (pointing inwards most of the time). It was found that the magnitude of the magnetic field changes according to this relation, i.e. B(t) =t – 2t² +3t +6, where B(t) is in teslas, t in seconds. The location of P and P, - 3 measured from the center, would be r, =14 cm and r, =5 cm respectively. The radius for the radial area where the magnetic field reside would be R=7 cm . 1 XX XXX Figure 1: Charges in a varying magnetic field (a). Describe and sketch the trajectory of the electric field for the electron at P, and P,. (b). Calculate the magnetic flux when t= 6 s . (c). Calculate the magnitude of the force exerted on the electron at point P and P,. (d). Describe the criteria when there is zero force exerted on the electron at P and P,. (e). Calculate the moment (time) when there is zero force exerted on the electron at P and Р.

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Figure 1 shows the scenario where negative charges (electrons) are placed within and
outside of a magnetic field (pointing inwards most of the time). It was found that the
magnitude of the magnetic field changes according to
this relation, i.e.
B(1) =
t° – 2t² +3t + 6, where B(t) is in teslas, t in seconds. The location of P, and P,
measured from the center, would be r, =14 cm and r,
= 5 cm respectively. The radius for
the radial area where the magnetic field reside would be R=7 cm.
P
1
XX
Figure 1: Charges in a varying magnetic field
(a). Describe and sketch the trajectory of the electric field for the electron at P and P,.
(b). Calculate the magnetic flux when t = 6 s.
(c). Calculate the magnitude of the force exerted on the electron at point P, and P,.
(d). Describe the criteria when there is zero force exerted on the electron at P and P,.
(e). Calculate the moment (time) when there is zero force exerted on the electron at P, and
P,.
Transcribed Image Text:Figure 1 shows the scenario where negative charges (electrons) are placed within and outside of a magnetic field (pointing inwards most of the time). It was found that the magnitude of the magnetic field changes according to this relation, i.e. B(1) = t° – 2t² +3t + 6, where B(t) is in teslas, t in seconds. The location of P, and P, measured from the center, would be r, =14 cm and r, = 5 cm respectively. The radius for the radial area where the magnetic field reside would be R=7 cm. P 1 XX Figure 1: Charges in a varying magnetic field (a). Describe and sketch the trajectory of the electric field for the electron at P and P,. (b). Calculate the magnetic flux when t = 6 s. (c). Calculate the magnitude of the force exerted on the electron at point P, and P,. (d). Describe the criteria when there is zero force exerted on the electron at P and P,. (e). Calculate the moment (time) when there is zero force exerted on the electron at P, and P,.
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