Unit: Electricity and Magnetism Why discussed together? Highly related! Unit: Electricity and Magnetism • Electric Fields • Electric Potential • • • Capacitance and Dielectrics Current and Resistance DC Circuits • Magnetic Fields • Sources of… • Faraday’s Law • • Inductance AC Circuits James Clerk Maxwell • Put it all together: Electromagnetic Waves The charge on a ball is measured to be 3.2 x 10-14 C. a) Does the ball have more or less electrons than protons? b) How many more or less? A positively charged ball is brought near a long piece of aluminum, as shown. Draw the aluminum and note the positions of the greatest and least number of electrons. Three identical uncharged balls are connected by conducting wires as shown. A charge of 4Q is induced into the top ball. Give the magnitude and direction of the force that the left ball now exerts on the right ball (in terms of d and Q)? d Two conducting spheres are held a distance d apart as shown. What is force of one on the other? Q 3Q d Two conducting spheres are held a distance d apart as shown. What will be the force of one on the other after they are connected by a wire? Q 3Q d Three charges are arranged along a line as shown in the figure below. The sizes of the charges and the distances are not to scale. If d1 = d and d2 = 3d, while Q1 = Q and Q3 = 4Q, then 1. |FQ1→Q2 | > FQ3→Q2 2. |FQ1→Q2 | < FQ3→Q2 3. |FQ1→Q2 | = FQ3→Q2 4. You cannot tell without knowing Q2. There are four one-dimensional arrangements of charges. Each charge has the same magnitude but they differ in sign. In which of the diagrams would the magnitude of the force felt by a positive test charge placed at P be the largest? 1. 2. 3. 4. A B C D 5. 6. 7. 8. 9. A and B A and C C and D All are equal Can’t tell In the figure there are 4 two-dimensional arrangements of positive and negative charges. In which of the diagrams would the magnitude of the force felt by a positive test charge placed at P be the largest? 1. 2. 3. 4. A B C D 5. 6. 7. 8. 9. A and B A and C C and D All are equal Can’t tell Problem: Three charged balls are shown below. The ball containing a charge of +Q is free to move, but the others are fixed. Where should an additional ball containing charge -2Q be placed in order to keep the +Q ball stationary? +Q 3Q -Q