Phy102&08-II-ms2

Phy102&08-II-ms2 - 1 Problems - Show your solution...

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Unformatted text preview: 1 Problems - Show your solution in detail. 1. Find the potential difference between points a and b shown in the figure. Given C 1 = 1 μ F, C 2 = 2 μ F, C 3 = 3 μ F, C 4 = 4 μ F, C 5 = 5 μ F, and V 2 = 12 V. 3 points V V V V V V F C C Q V V F C C Q V C V C Q Q Q 44 8 3 24 24 1 24 ; 24 3 2 1 3 31 3 1 1 1 2 2 3 2 1 = + + = = = = ⇒ = = = ⇒ = = = = μ μ μ μ μ 2. Capacitors C 1 and C 2 are connected in parallel with a battery. The magnitude of plate- charge in C 2 (= 10 μ F) is Q 2 = 10 μ C . The capacitance C 1 and the charge Q 1 are unknown. Then the battery is disconnected. After that a slab of dielectric material (K = 4) is inserted between the plates of C 2 and the charge in C 2 ’ becomes Q 2 ’ = 30 μ C . Find the capacitance C 1 . 4 points F C C C C C so KC C K C C C C C C C C Q Q C C Q C Q C C Q C Q total total μ 80 ) ( 4 ) 4 ( 3 3 ' ' 3 ' 3 ' ' ' ; 1 2 1 2 1 2 1 2 1 2 1 2 2 1 2 2 2 2 1 2 2 2 1 2 2 = ⇒ + = + + = + ⇒ + = + ⇒ = + = + = a b C 1 C 2 C 3 4 C 5 C V 2 C’ C C C 1 2 1 2 V 2 3. In the circuit shown, the switch S was closed for a very long time. Then at t = 0 the switch is opened. Find the energy stored in the capacitor 10 ms after the switch is opened. Given R 1 = R 2 = R 3 = 2 kΩ, and C = 5 µF....
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Phy102&08-II-ms2 - 1 Problems - Show your solution...

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