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Phy102&amp;08-S-ms2

Phy102&amp;08-S-ms2 - Part I Problems 1 Two parallel...

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1 Part I: Problems 1. Two parallel plate capacitors ( C 1 = C 2 = 10 µF) are connected in parallel as shown in the figure below. Initially each capacitor carries a charge q = 10 µC. An insulating material with dielectric constant K = 4 is inserted between the plates of capacitor C 1 , completely filling the volume between them. How much work is required to insert the dielectric material? C 2 C 1 Q total = 20 µC , constant Before inserting the dielectric material C eq = C 1 + C 2 = 20 µF Energy stored U i = Q 2 /2C = 10 µJ After inserting the dielectric material C eq = 4C 1 + C 2 = 50 µF U f = Q 2 /2C = 4 µJ W = U f – U i = -6 µJ 2. The two isolated cylindrical conductors A and B are connected to a battery as shown in the figure below. Conductor A has length L, radius r A = 1 mm and resistivity ρ= 1.47 × 10 -8 Ω.m. Conductor B has length L, radius r B = 1 mm, and resistivity ρ = 1.72 × 10 -8 Ω.m. If the electric field in conductor A is E = 5 × 10 -6 N/C, find the current through conductor B. A B ε V A = V B = E A L , I B = V B /R B = E A LA/ρ B L = Eπr B 2 B =9.1 × 10 -4 A Or E A = E B → J B = E B B and I B = J B πr B 2

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2 3. In the circuit given below, calculate the electrical power delivered by the battery.
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Phy102&amp;08-S-ms2 - Part I Problems 1 Two parallel...

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