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a. For the graph of Ex vs x, draw a graph of V vs x in this same region of space. Let V=0 at x=0. Label the y-axis with numbers. b. Draw a charge distribution whose field and potential in the x-direction can be represented by these graphs. Week 5 1 a. For the graph of V vs x, draw a graph of Ex vs x in this same region of space. Label the y-axis with numbers. b. Draw a charge distribution whose field and potential in the x-direction can be represented by these graphs. Week 5 2 For each contour map, estimate the magnitude and direction of the electric fields at points 1 and 2 Week 5 3 Week 5 4 Week 5 5 Week 5 6 Week 5 7 What is the total potential difference (voltage) created by these three batteries? Week 5 8 What is the total potential difference (voltage) created by these three batteries? Week 5 9 Week 5 10 A capacitor with plates separated by a distance d is charged to a potential difference, ∆Vc. All wires and batteries are disconnected, then the two plates are pulled apart (with insulated handles) to a new separation distance of 2d. • Does the capacitance C change? If so, by how much? • Does the capacitor charge Q change? If so, by how much? • Does the electric field strength E change? If so, by how much? • Does the potential difference ∆Vc change? If so, by how much? ²V c before after Week 5 11 d 2d Week 5 12 Week 5 13 Week 5 14 Rank the equivalent capacitance Ceq of the circuits below in order from most to least. #1 Week 5 #2 #3 #4 15 Week 5 16 How much energy is stored in a 2.0 µF capacitor charged to 5000 Volts? What is the average power dissipation if this 2.0 µF capacitor is discharged in 10 µs? ∆V = 5000 V Week 5 17 Week 5 18 Inside a conductor Week 5 19 Week 5 20 1. If the electrons in a current-carrying wire collide with the positive ions more frequently, does their drift speed increase or decrease? 2. Does an increase in the collision frequency make the wire a better conductor or a worse conductor? Week 5 21 1. Which direction are the charge carrying electrons moving? 2. In which direction does the electric field point? I Week 5 22 A light bulb is connected to a battery with 1-mmdiameter wires. The bulb is glowing. 1. What is the direction of E at each of the points shown? (The points are inside the wire) 2. Rank the electric field strengths at 1, 2 and 3. 3. Where is the current largest? 1 • •2 Week 5 •3 23 Below is a segment of a circuit. All wires in this segment are made of the same material and have the same thickness. Rank, in order from largest to smallest, the currents. I1 I2 I3 I4 Week 5 24 Week 5 25 If a metal is heated, does its conductivity increase, decrease or stay the same? Explain. Week 5 26 Wire 1 and wire 2 are made from the same metal. Wire 1 has twice the diameter and half the electric field of wire 2. 1. Which wire has a greater current density, J? 2. What is the ratio I1/I2? 3. Which wire has a larger electron drift speed? E2 E1 Week 5 27 A wire consists of two equal diameter segments of different materials, with 2>1. The current in segment 1 is I1. 1. Which is larger: I1 or I2? 2. Which is larger: J1 or J2? 3. Which is larger: E1 or E2? I1 1 2 I2 Week 5 28