Question

3. The switch in the circuit below has been in the left position for a long time. At $t = 0$, it moves to the right position and stays there. 10 k$\Omega$ 5 k$\Omega$ + $i = 0$ + 150 V v 40 nF 30 k$\Omega$ 60 k$\Omega$ a. Find the initial voltage drop across the capacitor. b. Find the initial energy stored by the capacitor. c. Find the time constant for the capacitor. d. Write the expression for the capacitor voltage $v(t)$ for $t \ge 0$. 4. The switch in the circuit below has been in the left position for a long time. At $t = 0$, it moves to the right position and stays there. 2.4 k$\Omega$ $i = 0$ 40 mA 2.7 k$\Omega$ 3.3 k$\Omega$ v 0.5 $\mu$F 3 k$\Omega$ 3.6 k$\Omega$ a. Write the expression for the capacitor voltage, $v(t)$, for $t \ge 0$. b. Write the expression for the current through the 2.4 k$\Omega$ resistor, $i(t)$, for $t \ge 0^*$.

          3. The switch in the circuit below has been in the left position for a long time. At $t = 0$, it moves to the
right position and stays there.
10 k$\Omega$
5 k$\Omega$
+ 
$i = 0$
+
150 V
v
40 nF
30 k$\Omega$
60 k$\Omega$
a. Find the initial voltage drop across the capacitor.
b. Find the initial energy stored by the capacitor.
c. Find the time constant for the capacitor.
d. Write the expression for the capacitor voltage $v(t)$ for $t \ge 0$.
4. The switch in the circuit below has been in the left position for a long time. At $t = 0$, it moves to the
right position and stays there.
2.4 k$\Omega$
$i = 0$
40 mA
2.7 k$\Omega$
3.3 k$\Omega$
v
0.5 $\mu$F
3 k$\Omega$
3.6 k$\Omega$
a. Write the expression for the capacitor voltage, $v(t)$, for $t \ge 0$.
b. Write the expression for the current through the 2.4 k$\Omega$ resistor, $i(t)$, for $t \ge 0^*$.
        
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3. The switch in the circuit below has been in the left position for a long time. At t = 0, it moves to the
right position and stays there.
10 kΩ
5 kΩ
+ 
i = 0
+
150 V
v
40 nF
30 kΩ
60 kΩ
a. Find the initial voltage drop across the capacitor.
b. Find the initial energy stored by the capacitor.
c. Find the time constant for the capacitor.
d. Write the expression for the capacitor voltage v(t) for t ≥ 0.
4. The switch in the circuit below has been in the left position for a long time. At t = 0, it moves to the
right position and stays there.
2.4 kΩ
i = 0
40 mA
2.7 kΩ
3.3 kΩ
v
0.5 μF
3 kΩ
3.6 kΩ
a. Write the expression for the capacitor voltage, v(t), for t ≥ 0.
b. Write the expression for the current through the 2.4 kΩ resistor, i(t), for t ≥ 0^*.

Added by Sheila T.

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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The switch in the circuit below has been in the left position for a long time. At t = 0, it moves to the right position and stays there. 10k Ω 5k Ω 150 Ω 40nF 3060 Ω a. Find the initial voltage drop across the capacitor. b. Find the initial energy stored by the capacitor. c. Find the time constant for the capacitor. d. Write the expression for the capacitor voltage v(t) for t > 0. 2. Corrected_text: The switch in the circuit below has been in the left position for a long time. At t = 0, it moves to the right position and stays there. 2.4k Ω 40mA 2.7k Ω 3.3k Ω 0.5F 3k Ω 3.6k Ω a. Write the expression for the capacitor voltage v(t) for t > 0. b. Write the expression for the current through the 2.4k Ω resistor i(t) for t > 0. Title_with_topic: 1. Circuit Analysis and Capacitor Behavior 2. Circuit Analysis and Capacitor Voltage and Current Expressions
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The switch in the circuit in Figure 1 has been in the left position for a long time. At t = 0, it moves to the right position and stays there.

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In the circuit below, the capacitor is initially uncharged, and the switch is closed at t= 0. The circuit can be replaced by the "Thevenin" equivalent circuit where: RThevenin = (R1 in parallel with R2) in series with R3. VThevenin is the voltage across the capacitor (in the original circuit) when the switch has been closed for a long time. a) Find the value of RThevenin and Vthevenin b) Find the equation of the voltage across the capacitor as a function of time, Vc(t), and evaluate the expression at t = 40 ms. The switch remains closed for a long period of time so the capacitor is fully charged. The clock is reset to t=0 and the switch in the original circuit is opened at t=0. c) Find the new time constant of the circuit d) Find and expression for the voltage across resistor R2 ( VR2(t) ) and the time at which the voltage across R2 is 2V

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Q(1): Study the circuit shown and answer the following questions (the capacitor is empty at t=0) a- What is the time constant of the circuit? b- What is the voltage across the capacitor immediately after the switch is closed? c- What is the voltage across the resistor immediately after the switch is closed? d- Calculate the charge on the capacitor after one time constant. e- What is the final charge on the capacitor? Q(2): If the capacitor in Q (1) is charged to a potential difference of 12 V and is then discharged through an 0.8 MΩ resistance as shown a- What is the time constant of the circuit? b- What is the initial charge on the capacitor? c- Find the voltage across the capacitor after one time constant. d- What is the final charge on the capacitor?

Sri K.


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Transcript

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00:01 The switch is at position left for a long time the capacitor vs is in an open circuit the circuit becomes at t is equals to 0...
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