Consider the circuit below. Assume that the capacitor is initially uncharged. V₁=24 V R₁ = 10 kn: R2 = 30 ΚΩ www Description of Image a. What is the initial current through resistor R₂ when the switch is closed (t = 0)? Current through R₂ at t = 0 is 8 O = 0.8 mA. 100 οι C₁ = 10 μF Hint b. What is the current through resistor R₂ when the capacitor is fully charged, long after the switch is closed (too)? Current through R₂ as t→∞o is .6 c. What happens if the switch is opened after it has been closed for some time? Choose the most correct statement below. Current flows through C₁ but not R₁ or R₂. Current flows through V₁, R₁, R2, and C₁. Current flows through R₁ and C₁ but not R₂. O = 0.6 mA. No current flows anywhere in the circuit. Current flows through C₁ and R₂ but not R₁. Current flows through R₁ and C₁ but not R₂. X

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Consider the circuit below. Assume that the capacitor is initially uncharged.
V₁=24 V R = 10 ΚΩ :
R2 = 30 ΚΩ
www
Description of Image
a. What is the initial current through resistor R₂ when the switch is closed (t = 0)?
Current through R₂ at t = 0 is 8
O = 0.8 mA.
Hint
O O O
C₁ = 10 μF
b. What is the current through resistor R₂ when the capacitor is fully charged, long after the switch is
closed (t→ ∞)?
Current through R₂ as t→∞ is 6
O = 0.6 mA.
c. What happens if the switch is opened after it has been closed for some time? Choose the most
correct statement below.
Current flows through C₁ but not R₁ or R₂.
Current flows through V₁, R₁, R2, and C₁.
Current flows through R₁ and C₁ but not R₂.
No current flows anywhere in the circuit.
Current flows through C₁ and R₂ but not R₁.
Current flows through R₁ and C₁ but not R₂. X
In time t =
initial value.
d. If the switch has been closed for a time period long enough for the capacitor to become fully
charged, and then the switch is opened, how long before the current through resistor R₁ reaches
half of its initial value?
Hint for (d)
ms, the current through resistor R₁ reaches half its
Transcribed Image Text:Consider the circuit below. Assume that the capacitor is initially uncharged. V₁=24 V R = 10 ΚΩ : R2 = 30 ΚΩ www Description of Image a. What is the initial current through resistor R₂ when the switch is closed (t = 0)? Current through R₂ at t = 0 is 8 O = 0.8 mA. Hint O O O C₁ = 10 μF b. What is the current through resistor R₂ when the capacitor is fully charged, long after the switch is closed (t→ ∞)? Current through R₂ as t→∞ is 6 O = 0.6 mA. c. What happens if the switch is opened after it has been closed for some time? Choose the most correct statement below. Current flows through C₁ but not R₁ or R₂. Current flows through V₁, R₁, R2, and C₁. Current flows through R₁ and C₁ but not R₂. No current flows anywhere in the circuit. Current flows through C₁ and R₂ but not R₁. Current flows through R₁ and C₁ but not R₂. X In time t = initial value. d. If the switch has been closed for a time period long enough for the capacitor to become fully charged, and then the switch is opened, how long before the current through resistor R₁ reaches half of its initial value? Hint for (d) ms, the current through resistor R₁ reaches half its
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