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Assume you are given two resistors with resistances R1=8.0 kΩ and R2=4.0 kΩ and two capacitors...

Assume you are given two resistors with resistances R1=8.0 kΩ and R2=4.0 kΩ and two capacitors with capacitances C1=8.0 µF and C2=4.0 µF.

a)      Calculate the equivalent resistances Req and the equivalent capacitance Ceq if both the resistors and the capacitors are connected in parallel.

b)      Now, use the Req and Ceq that you calculate in part (a) to construct an RC circuit. If an emf of 27 V is suddenly applied across Req and Ceq, calculate the charge on the Ceq after t= 12 µs.

c)      If the resistor R1 is made of iron wire with radius R= 3 mm, calculate the length of this wire. The resistivity of iron is ρiron= 9.68x10-8 Ω.m.

d)      If the capacitance C2 has square parallel-plates with the separation of 0.3 mm, calculate the plate area A.

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