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1. State the continuity equation and discuss its physical interpretation.
2. Distinguish between the physical interpretations of the divergence and the curl of a vec- tor field by means of examples.
3. State the divergence theorem and discuss its application.
4. What is the divergence of the curl of a vector?
5. Summarize Maxwell's equations in differential form.
6. Are all Maxwell's equations in differential form independent? If not, which of them are independent?
7. Provide a qualitative explanation of the phenomenon of electromagnetic wave propa- gation based on Maxwell's equations in differential form.
A proton is bent into a circular path of radius 4 meter by a magnetic field of 0.3 T. The momentum of the proton is 360 MeV/c. Determine what is its kinetic energy
A 2.05 cm tall object is placed 30.0 cm to the left of aconverging lens with a focal length f1 =18.9 cm. How tall is the final image of the object
A 500g ball moving at (10.0cm/s, +x) collides with an identical ball at rest.The incoming ball scatters at 30 degrees with respect to the +x axis, What is the speed of the each ball after collision
A proton is at the origin and an electron is at the point x = 0.39nm, y = 0.32nm. Find the electric force on the proton
Two parallel conductive plates of area 0.3m2 hold equal-but-opposite charges of magnitude 30?C on either side. calculate the electric field between the plates
A force with a magnitude of 25 N and directed at an angle of 37° above the horizontal is used to move a 10-kg crate along a horizontal surface at constant velocity
A 8.97-cm-long thin glass rod is uniformly charged to +40.5 nC. A small glass bead, charged to +5.3 nC, is 4.92 cm from the center of the rod, What is the force (magnitude) on the bead
A hockey player (76 kg) and a puck (0.2 kg) start out at rest on an ice rink. determine how fast the player will recoil after the slap shot
When scuba diving, you must equalize the pressure inside your body with the water outside every few meters you dive downward or swim upwards in order to avoid serious health complications. Calculate how far underwater you must dive
Is the total translational kinetic energy of the molecules in the ball higher, lower or the same as when the ball was at rest?
A 12.6 V battery is in a circuit with a 30.0 mH inductor and a 0.150 resistor, as in Active Figure 20.27. The switch is closed at t = 0. Find the current after one time constant has elapsed
A thin uniform rod (mass = 1.75 kg) swings about an axis that passes through one end of the rod, What is the maximum kinetic energy of the rod
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