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:. In the circuit shown, the battery EMF is 10.0 V, the inductance L is 12.0 mH, and the resistance R is 2.00 $2. + If the switch is connected to point a, find the time (in ms) it takes for the current to reach 80.0% of its E maximum value? (A) 3.21 (D) 8.67 (B) 4.22 (E) 9.66 (C) 2.56 -L (C) 0.586 b (D) 0.972 W After the inductor is fully charged, the switch is connected to point b. Find the current (in amps) after two time constants have passed. (A) 0.321 (B) 0.235 ele (E) 0.677 L

:. In the circuit shown, the battery EMF is 10.0 V, the inductance L is 12.0 mH, and the resistance R is 2.00 $2. + If the switch is connected to point a, find the time (in ms) it takes for the current to reach 80.0% of its E maximum value? (A) 3.21 (D) 8.67 (B) 4.22 (E) 9.66 (C) 2.56 -L (C) 0.586 b (D) 0.972 W After the inductor is fully charged, the switch is connected to point b. Find the current (in amps) after two time constants have passed. (A) 0.321 (B) 0.235 ele (E) 0.677 L

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**Transcription of Circuit Analysis Text for Educational Website** --- **Circuit Description:** In the diagram, a circuit is depicted with a battery having an electromotive force (EMF) of 10.0 V. The circuit includes an inductor (L) with an inductance of 12.0 mH and a resistor (R) with a resistance of 2.00 Ω. **Questions:** 1. **Current Time Analysis:** If the switch is connected to point \( a \), determine the time (in milliseconds) it takes for the current to reach 80.0% of its maximum value. - Choices: - (A) 3.21 ms - (B) 4.22 ms - (C) 2.56 ms - (D) 8.67 ms - (E) 9.66 ms 2. **Current After Switching:** After the inductor is fully charged, the switch is connected to point \( b \). Calculate the current (in amps) after two time constants have elapsed. - Choices: - (A) 0.321 A - (B) 0.235 A - (C) 0.586 A - (D) 0.972 A - (E) 0.677 A **Diagram Explanation:** The circuit diagram shows a switch that can be toggled between two points (a and b). The resistor (R) and inductor (L) are in series with the battery when the switch is at point \( a \). The combination of these elements affects the behavior of the circuit, particularly the time constant \( \tau = \frac{L}{R} \), where \( \tau \) dictates how quickly the circuit responds to changes. --- Note: This transcription is designed to facilitate understanding in an educational setting, focusing on problem solving and comprehension of RL circuit dynamics.
Transcribed Image Text:**Transcription of Circuit Analysis Text for Educational Website** --- **Circuit Description:** In the diagram, a circuit is depicted with a battery having an electromotive force (EMF) of 10.0 V. The circuit includes an inductor (L) with an inductance of 12.0 mH and a resistor (R) with a resistance of 2.00 Ω. **Questions:** 1. **Current Time Analysis:** If the switch is connected to point \( a \), determine the time (in milliseconds) it takes for the current to reach 80.0% of its maximum value. - Choices: - (A) 3.21 ms - (B) 4.22 ms - (C) 2.56 ms - (D) 8.67 ms - (E) 9.66 ms 2. **Current After Switching:** After the inductor is fully charged, the switch is connected to point \( b \). Calculate the current (in amps) after two time constants have elapsed. - Choices: - (A) 0.321 A - (B) 0.235 A - (C) 0.586 A - (D) 0.972 A - (E) 0.677 A **Diagram Explanation:** The circuit diagram shows a switch that can be toggled between two points (a and b). The resistor (R) and inductor (L) are in series with the battery when the switch is at point \( a \). The combination of these elements affects the behavior of the circuit, particularly the time constant \( \tau = \frac{L}{R} \), where \( \tau \) dictates how quickly the circuit responds to changes. --- Note: This transcription is designed to facilitate understanding in an educational setting, focusing on problem solving and comprehension of RL circuit dynamics.
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