Question

A resistor of 10 kilo-ohms is connected in series to a capacitor which are connected to a 10 volt battery. After some time, the charge in the capacitor is 10 micro-coulombs. At that time, the battery is disconnected and 5 milli-seconds after the battery has been disconnected, the charge in the capacitor is 3.7 micro-coulombs. What is the voltage across the resistor 1.9 milli-seconds after the battery has been disconnected in volts?

Answer #1

**Given**

**RC circuit **

**R = 10000 ohm**

**V = 10 V**

**before disconnecting the battery the charge is Q =
10*10^-6C**

**after 5 milli seconds from the battery disconnected the
charge is q(5ms) =3.7*10^-6 C**

**that is q(t) = Q*e^(-t/RC)**

**3.7*10^-6 =
10*10^-6*e^((-5*10^-3)/(10000*C))**

**solvinf for C**

**C = 0.50289*10^-6 F**

**voltage across the resistor 1.9 ms after the battery has
been disconnected is **

**v(t) = Ve^(-t/RC)**

**V(1.9ms) =
10e^(-(1.9*10^-3)/(10000*0.50289*10^-6))V**

**V(1.9 ms) = 6.853564 V**

A resistor of 8 kilo-ohms is connected in series to a capacitor
which are connected to a 6 volt battery. After some time, the
charge in the capacitor is 10 micro-coulombs. At that time, the
battery is disconnected and 7 milli-seconds after the battery has
been disconnected, the charge in the capacitor is 3.7
micro-coulombs. What is the voltage across the resistor 2.8
milli-seconds after the battery has been disconnected in volts?

5) A resistor of 6 kilo-ohms is connected in series to a
capacitor which are connected to a 10 volt battery. After some
time, the charge in the capacitor is 10 micro-coulombs. At that
time, the battery is disconnected and 6 milli-seconds after the
battery has been disconnected, the charge in the capacitor is 3.7
micro-coulombs. What is the voltage across the resistor 2.2
milli-seconds after the battery has been disconnected in volts?

A resistor of 5 kilo-ohms is connected in series to a capacitor
which are connected to a 9 volt battery. After some time, the
charge in the capacitor is 10 micro-coulombs. The battery is
disconnected and 26 milli-seconds after the battery has been
disconnected, the charge in the capacitor is 3.7 micro-coulombs.
What is the value of the capacitor in micro-farads?

1.
A resistor of 4 kilo-ohms is connected in series to a 12
micro-farad capacitor and a 40 volt battery. What is the voltage
across the capacitor after one time constant?
1B.
A resistor of 4 kilo-ohms is connected to a 12 micro-farad
capacitor. The initial charge in the capacitor is 40
micro-coulombs. What is the initial voltage across the
capacitor?

PART A
A resistor of 4 kilo-ohms is connected to a 12 micro-farad
capacitor. The initial charge in the capacitor is 40
micro-coulombs. What is the time constant of the circuit?
PART B
A resistor of 4 kilo-ohms is connected to a 12 micro-farad
capacitor. The initial charge in the capacitor is 40
micro-coulombs. What is the charge in the capacitor after 3
milli-seconds (ms)?

10) A resistor is connected to a capacitor of 3 micro-farads
without a battery. The initial charge of capacitor is 100
micro-coulombs. After 12 milli-seconds, the charge in the capacitor
is 37 micro-coulombs. What is the current in the circuit, in
milli-amps, at one time constant? Hint: find the value of the
resistor first.

part A
A solenoid with 44 x 103 turns per meter, a cross sectional
radius of 0.5 m, and a length of 0.2 meters is used as to form an
inductor. Then a 8 x 103 volt battery (DC) is connected in series
to this inductor, a resistor of 2 kilo-Ohms, and another resistor
of 8 kilo-Ohms. After 14 milli-seconds, what is the power output of
the battery in kilo-watts?
part Aa.
A battery (DC battery) is connected in series...

In the circuit below, R1 = 5.5 Ohms, R2 = 4.6 Ohms, and C = 4.5
micro-farads. The capacitor was initially charged by a battery and
right when the battery was disconnected, the charge in the
capacitor is 215.2 micro-coulombs. What is the current through R1,
in amps, 15.4 micro-seconds after the battery has been
disconnected? Hint: combine the resistors into their equivalent
form and use this to find the time constant of the equivalent
circuit. Then, find the voltage...

A battery (DC battery) is connected in series to a 13
milli-henrie inductor and a 6 Ohm resistor. After 6 milli-seconds,
the battery is disconnected. 3 milli-seconds after the battery has
been disconnected, the current in the circuit is 2.3 amps. What was
the voltage of the battery that was disconnected in volts?

4) A battery (DC battery) is connected in series to a 14
milli-henrie inductor and a 4 Ohm resistor. After 6 milli-seconds,
the battery is disconnected. 5 milli-seconds after the battery has
been disconnected, the current in the circuit is 3.8 amps. What was
the voltage of the battery that was disconnected in volts?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 3 minutes ago

asked 6 minutes ago

asked 21 minutes ago

asked 40 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago