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Mid-term

# Mid-term - D = 10.0 mm d = 1.0 mm and ρ = 1.0 μ C/mm 3(a...

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1 PHYS 1304 Mid-term Exam Name ID 1. (Total 30 points) Two point charges, q 1 and q 2 , are fixed in space. The distance between the two charges is d . Here q 1 = 2.0 μ C, q 2 = 8.0 μ C, and d = 9.0 cm. 1 μ C = 10 -6 C. (a, 20 points) Find the point in space that is close to the two charges where the electric field is 0. (b, 10 points) Now you move a charge q 3 from infinitely far away to this point, how much work you have to do during this process when q 3 = 1.0 μ C? The Coulomb constant k e = 8.99 × 10 9 N · m 2 /C 2 . (c, bonus 5 points, do it when you have time in the end) Is q 3 in a stable or unstable equilibrium condition? Would your answer change if q 3 = -1.0 μ C?

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2 PHYS 1304 Mid-term Exam Name ID 2. (30 points) Two infinitely large plates made of insulating material (ignore its dielectric property) are placed distance D apart, parallel to each other. The thickness of each plate is d . One plate has a volume charge density ρ (assuming positive charge), the other - ρ . Here
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Unformatted text preview: D = 10.0 mm, d = 1.0 mm, and ρ = 1.0 μ C/mm 3 . (a, 20 points) Find the electric field (magnitude and direction) between the two plates (excluding the plates volume) (b, 10 points) Find the electric fields (magnitude and direction) inside the plates, as a function of distance from the center of the plates. The permittivity of free space ε o = 8.85 × 10-12 C 2 /N · m 2 . 3 PHYS 1304 Mid-term Exam Name ID 3. (40 points) A circuit shown in the figure where the switch has been closed for a long time. Find (a, 20 points) the current through each resister, (b, 5 points) the power consumed by the 4.0 ohm resistor, (c, 5 points) the energy stored in the capacitor. (d, 10 points) If we start the time when the switch S is thrown open (this is the moment when t = 0), calculate the current in each resistor as a function of time t , with t ≥ 0. S 24.0V 10.0V 2.0 Ω 6.0 Ω 6.0 Ω 4.0 Ω 2.0 μ F...
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Mid-term - D = 10.0 mm d = 1.0 mm and ρ = 1.0 μ C/mm 3(a...

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