A point electric charge +5nC moves past point P(3 m, 4 m, 5 m) with a velocity v = v(3 ax - ay +2a₂) m/s. At that point there is a magnetic field B = B。(ax + 2 ay − 4 a₂) Wb/m². Determine the electric field intensity vector at point P so that the total force experienced by the charges is zero.

Give an approximate sketch of the expected voltage waveform vi(t) for the circuit shown in Figure 7. The source produces a sinusoidal waveform with a maximum voltage of 12.6 V. Assume that the diode has a turn-on voltage of 0.7 V and that the reverse saturation current is approximately zero. 12.6 V AC 2 ΚΩ C Figure 7- Half-Wave Rectifier Now suppose a capacitor C is connected in parallel with the load as in Figure 8. Calculate a suitable value for C so that the RC time constant is about ~ 0.02 seconds. -2 ΚΩ + Give an approximate sketch of the expected v₁(t) waveform when C is added to the circuit. Qualitatively speaking, what is the role of a capacitor in this circuit? + VL VL VL volts VL volts