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Question 4. In the circuit below, SW$_1$ has been in position 'A' for a very long time and SW$_2$ has been open also for a very long time. At t=0 SW$_1$ moves to position 'B' and SW$_2$ closes. Answer the questions that follow. SW$_1$ A B SW$_2$ $v_a(t)$ $v_b(t)$ R 2L + + $v(t)$ C R L 10V (4.a) [3 marks] Compute the initial voltages $v_a(0)$, $v_b(0)$, and $dv_a(0)/dt$. Justify your answers. (4.b) [7 marks] Find the system of linear differential equations that relates the voltages $v_a(t)$ and $v_b(t)$. Assume $v(t)$ is a DC voltage.

          Question 4. In the circuit below, SW$_1$ has been in position 'A' for a very long time and SW$_2$ has been open also for a very long time. At t=0 SW$_1$ moves to position 'B' and SW$_2$ closes. Answer the questions that follow.
SW$_1$
A
B
SW$_2$
$v_a(t)$
$v_b(t)$
R
2L
+
+ $v(t)$
C
R
L
10V
(4.a) [3 marks] Compute the initial voltages $v_a(0)$, $v_b(0)$, and $dv_a(0)/dt$. Justify your answers.
(4.b) [7 marks] Find the system of linear differential equations that relates the voltages $v_a(t)$ and $v_b(t)$. Assume $v(t)$ is a DC voltage.

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question 4 in the circuit below sw1 has been in position a for a very long time and sw2 has been open also for a very long time at t0 sw1 moves to position b and sw2 closes answer the qu 14225

Added by Amber H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Zhaojie Xu

08/29/2022

Step 1

The capacitor acts as an open circuit, and the inductors act as short circuits. The voltage across the capacitor is $v_a(0-)$. Since the switch SW1 is at position A, there is no current flowing through the capacitor. Therefore, $v_a(0-) = 10V$. The voltage across Show more…

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Question 4. In the circuit below, SW$_1$ has been in position 'A' for a very long time and SW$_2$ has been open also for a very long time. At t=0 SW$_1$ moves to position 'B' and SW$_2$ closes. Answer the questions that follow. SW$_1$ A B SW$_2$ $v_a(t)$ $v_b(t)$ R 2L + + $v(t)$ C R L 10V (4.a) [3 marks] Compute the initial voltages $v_a(0)$, $v_b(0)$, and $dv_a(0)/dt$. Justify your answers. (4.b) [7 marks] Find the system of linear differential equations that relates the voltages $v_a(t)$ and $v_b(t)$. Assume $v(t)$ is a DC voltage.

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