Question

1A)

A circuit consists of a 12.0 *V* battery, a 100
*k*Ω resistor, a 20.0 *μ**F* capacitor in
series with a switch which is initially in the open position. The
capacitor is initially uncharged. Calculate the charge on the
capacitor 6.00 seconds after the switch is closed. Calculate the
current through the resistor 6.00 seconds after the switch is
closed.

1B)

A 20 *μ**F* capacitor has previously charged up to
contain a total charge of *Q*=100 *μ**C* on
it. The capacitor is then discharged by connecting it directly
across a 100−*k*Ω resistor. At what point in time after the
resistor is connected will the capacitor have 13.5
*μ**C* of charge remaining on it?

Answer #1

1A)

**Given**

V = 12.0 V

R = 100 x 10^{3} ohm

C = 20.0 x 10^{-6} F

t = 6.00 s

**Solution**

Q_{max} = CV = 20.0 x
10^{-6} x 12.0

Q_{max} = 240 x 10^{-6}
C

I_{max} = V/R = 12/100 x
10^{3} = 1.2 x 10^{-4} A

Time constant

τ = RC = 100 x 10^{3} x 20.0 x
10^{-6}

τ = 2 s

Q_{t} = Q_{max}
[1-e^{-t/}^{τ}]

Q_{6} = 240 x 10^{-6}
[1-e^{-6/2}]

Q_{6} = 2.28 x 10^{-4}
C

I_{t} = I_{max}
e^{-t/}^{τ}

I_{6} = 1.2 x 10^{-4} x
e^{-3}

I_{6} = 5.97 x 10^{-6}
A

1B)

**Given**

C= 20 x10^{-6} F

R = 100 x 10^{3} ohm

Q_{o} = 100 x 10^{-6}
C

Q = 13.5 x 10^{-6} C

**Solution**

Q_{t} =
Q_{o} [e^{-t/τ}]

13.5 x 10^{-6} = 100 x
10^{-6} [e^{-t/2}]

0.135 = e^{-t/2}

e^{t/2} = 1/0.135 = 7.407

t/2 = ln(7.407)

t = 4.00 s

An uncharged 3.0-μF capacitor is connected in series with a
30-kΩ resistor, an ideal 6.7-V battery, and an open switch. What is
the voltage across the capacitor 21 ms after closing the
switch?
15.2 V
6.70 V
12.0 V
1.39 V

A 20.0 μF capacitor initially charged to 30.0
μC is discharged through a 2.50 kΩ resistor. How long does
it take to reduce the capacitor's charge to 15.0 μC ?
Express your answer with the appropriate units.

An RC circuit consists of a resistor with a resistance 2 kOhms,
a 120-V battery and two capacitors, C1 and C2, with capacitances of
20.0uF and 60uF, respectively all connected in series. Initially
the capacitors are uncharged; and the switch is closed at t=0
seconds. A.)What is the total capacitance in the circuit? B.)What
is the time constant of the circuit? C.)How much charge will be
stored in each capacitor after a long time has elasped D.)Determine
the total charges...

A 285-Ω resistor is in series with a 35.5 μF capacitor
and a 27.0-V voltage source with the circuit switch open and the
capacitor uncharged.
(a) What is the time constant of this RC circuit?
10.1175 ms
(b) Calculate the maximum charge the capacitor can
accumulate.
.000972 C
(c) Calculate the charge on the capacitor 5.25 ms after the switch
is closed.
.0005785083113C
Please check my answers.
Thanks!

An RC circuit consists of a resistor of 4 MΩ in series with a
5μF capacitor and a battery of
Ɛ= 9 V and a switch. At t = 0 s, the switch is closed and the
capacitor is allowed to charge.
a) Calculate the charge on the capacitor plates after 5
seconds.
b) Calculate the voltage across the capacitor and the resistor
after 5 seconds.
c) Calculate the current flowing through the resistor after 5
seconds.
d) How long...

In a series RC circuit, a battery of 7.30 volts is
connected to the resistor of 467 ohms, the capacitor of 6.71
microfarads, and a switch. The capacitor is initially uncharged.
The switch is closed at time t = 0.
How long does it take for the capacitor to get fully
charged? Answer to four decimal places.

A series RC circuit with C = 44 μF and R = 6.4 Ω has a 24 V
source in it. With the capacitor initially uncharged, an open
switch in the circuit is closed.
a) After the switch has been closed for t = 3 τ, what is the
charge on the capacitor?

An uncharged capacitor of 30 µF, a 35 ohm resistor, a battery
and an open switch are connected in series. This battery has a
potential difference of 50 volts between its terminals before
supplying current to the circuit. The cables connecting the battery
and circuit elements have no remarkable resistance. At t = 0, the
switch is closed suddenly.
a) What is the largest current value passing through a
resistance of 35 ohms and when does it reach this value?...

7) A circuit consists of a capacitor (capacitance of 1μF) and a
resistor (resistance 1000 Ω) in series, with a battery supplying a
potential difference of 12.0 V. At time t=0 a switch is closed to
allow current to flow in the circuit for the first time. Remember
that the potential difference supplied by the battery ε is not the
same as the potential across the capacitor ΔV unless a lot of time
has elapsed. Also an RC circuit is...

An initially uncharged 12 μF capacitor charged by a 12 V power
supply (battery) connected in
series with a 100 Ω resistor.
i. What is the total energy stored in the capacitor when it reached
the fully charged situation?
ii. What is the total energy supplied by the power supply during
this time?
iii. Does the capacitor store the total energy supplied by the
battery? Otherwise, explain how
the energy supplied by the battery used in the circuit.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 3 minutes ago

asked 4 minutes ago

asked 4 minutes ago

asked 8 minutes ago

asked 9 minutes ago

asked 15 minutes ago

asked 15 minutes ago

asked 16 minutes ago

asked 29 minutes ago

asked 30 minutes ago

asked 31 minutes ago