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1. Draw neat schematics (using a ruler) of the three circuits used in this experiment. Label the points at which you will make measurements and indicate what kind of measurements they are. Show the meter polarity (where the positive and negative meter leads were used) for all measurements.
2. Derive the equations for the equivalent resistance of resistors in parallel and in series. What happens to the current as more resistors are added to a series circuit? to a parallel circuit?
3. Use Kirchhoff's laws to set up three simultaneous equations that can be solved for the value of each of the currents in Figure 3 in terms of the power supply voltages and the resistor values. Use the measured resistor and power supply voltage values to calculate the expected currents for the third circuit using the equations you derived. Compare the theoretical and experimental results.
4. Explain how a fuse works. Why is it extremely dangerous to put a too large a fuse in a circuit?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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