Determine the capacitance of parallel configuration

Question

Assignment:

Problems:

1. Assume that two parallel plates with a surface area of 50,000 mm² are separated by 0.1 mm.

a. Determine the capacitance if the plates are separated by Air. ε= 8.85 x 10^-12 F/m

b. Determine the capacitance if the plates are submerged in de-ionized water. ε= 6.95 x 10^-10 F/m

c. Which di-electric material allows the plates to store more energy?

2. Determine the energy stored in a 1200 uF capacitor if it is charged to 600 V.

3. Determine the capacitance of each parallel configuration below.

4. Determine the capacitance of each series configuration below.

5. Assume that a coil has 120 turns, an inner radius of 1 mm, and a length of 25 mm.

a. Determine the inductance if the coil is wound on a non-ferrous core. (μ = 1.26 x 10^-6 H/m)

b. Determine the inductance if the coil is wound on an iron core. (μ = 8.75 x 10^-4 H/m)

c. Which core material allows the coil to store more energy?

6. Determine the energy stored in a 240 mH inductor if it has a constant 25 mA of current passing through it.

7. Determine the inductance of each parallel configuration below.

8. Determine the inductance of each series configuration below.

9. Determine the total capacitance or inductance of each component network below.

10. For the circuit to the right:

a. Analyze the circuit at t= 0⁺, that is, the moment after the switch is closed.

b. Analyze the circuit as t → ∞, that is, as the circuit approaches it's steady state.