# hw1 - I but in opposite directions The two solenoids have...

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Phys 3327 Fall 10 HW 1 Due Wednesday 9/8/10 in lecture Homework 1 Static Electric and Magnetic Fields Ex 1.1: Capacitor Two large parallel conducting plates a distance d apart are charged with a surface charge density ± ρ s , see the figure (left panel). a) What is the magnitude of the electric field between the plates? Ignore edge effects. b) What is the pressure (force per unit area) the two plates exert on each other? c) A sheet of dielectric material of thickness d/ 2 is placed between the plates, see the figure (right panel). The dielectric constant of the material is . What is the electric field between the plates, inside the dielectric and outside the dielectric? d) What is the potential difference between the two plates in this case? Ex 1.2: Sphere and spherical cavity in medium of uniform polar- ization Heald & Marion, ex. 1-13. Ex 1.3: Coaxial solenoids Consider two long coaxial solenoids that each carry a current

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Unformatted text preview: I , but in opposite directions. The two solenoids have diﬀerent turns of wire per unit length: The inner solenoid, which has radius a 1 , has n 1 turns of wire per unit length, while the outer solenoid, which has radius a 2 , has n 2 turns of wire per unit length. Find the magnetic ±eld B a) inside the inner solenoid, b) between the two solenoids, c) outside the outer solenoid. 1 Phys 3327 Fall 10 HW 1 Due Wednesday 9/8/10 in lecture Neglect end corrections. Ex 1.4: Lorentz force and Newton’s 3rd law Heald & Marion, ex. 1-29. Ex 1.5: dipoles Heald & Marion, ex. 1-10. Ex 1.6: Electret Heald & Marion, ex. 1-15. Suggested Problems for Further Study: Heald & Marion, ex. 1-8: Charged soap bubble (Feel free to ignore the hint) Heald & Marion, ex. 1-20: Magnetic Field of an in±nite solenoid 2...
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