+ R1 Vo С R2 Consider the circuit diagram shown above then answer the following. 1. Calculate the current through the re

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+ R1 Vo С R2 Consider the circuit diagram shown above then answer the following. 1. Calculate the current through the resistors the instant the switch is closed. (Before the capacitor has a chance to accumulate charge.) 2. Calculate the current through the resistors at t = ∞ with the switch closed. (After the capacitor is fully charged.) 3. Sketch the circuit, identify loops, and junction(s) you will use to write a differential equation describing the circuit. 4. Write a differential equation describing the circuit. 5. Solve the differential equation. 6. Show that the current through the capacitor is given by ic = where R₁ R₁ R₂C T = (R₁+R₂)*