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Problem 1 [10 points] A particle with charge Q = +2 μC is 6 cm away from a single large sheet (shown from the side in the picture) with a charge density of a = +200 (a) [2 points] Determine the force (vector) on the charge Q. (b) [3 points] Point a in the picture is located 4 cm above the charge. Determine the magnitude (in N/C) and direction (as an angle with the horizontal) of the net electric field at point a due to the charge and the sheet. 4 cm (d) [3 points] Determine the distance between the particle of charge Q and point b. 0 (c) [2 points] There is a point in space (we'll call this point b) where the net electric field due to the charge and the sheet vanishes. Draw on the picture where you expect point b to be located. Explain. 6cm 6 cm
Problem 8- Circuit with capacitor [11 points] Consider the circuit in the picture. The switch has been kept closed for a long time. (a) [3 points] What is the current out of the battery at that time? www (b) [3 points] What is the voltage difference V₁-V, across the capacitor at that time? 3002 41² 20mF Next, the switch is opened with the capacitor fully charged. (c) [2 points] What is the capacitive time constant of the circuit after the switch is opened? 100V (d) [3 points] How much time does it take for the voltage in the capacitor to drop by 50%. 6002 200