Question

A series circuit consisting of an uncharged 2.0-µF capacitor and a 10-MΩ resistor is connected across...

A series circuit consisting of an uncharged 2.0-µF capacitor and a 10-MΩ resistor is connected across a 100-V power source. What are the current in the circuit and the charge on the capacitor (a) after one time constant, and (b) when the capacitor has acquired 90 percent of its final charge?

A- (a) 10.0 µA, 0.2 mC (b) 9.0 µA, 45.0 mC

B- (a) 27.0 µA, 0.54 mC (b) 4.0 µA, 18.0 nC

C-(a) 3.7 µA, 0.13 mC (b) 1.0 µA, 0.18 mC

D- (a) 37.0 kA, 10.4 mC (b) 24.6 µA, 0.22 mC

0 0
Add a comment Improve this question Transcribed image text
Answer #1

For a charging RC circuit ,

Charge on the capacitor after time is

Current through the circuit at time is

a)

After on time constant,

Current through the circuit is

Charge on the capacitor is

b)

When the capacitor has acquired 90% of its final charge, that is

--------------

Answer is

Add a comment
Know the answer?
Add Answer to:
A series circuit consisting of an uncharged 2.0-µF capacitor and a 10-MΩ resistor is connected across...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • An uncharged capacitor and a resistor are connected in series to a source of emf. If...

    An uncharged capacitor and a resistor are connected in series to a source of emf. If e m f = 6.00 V, C = 18.0 µF, and R = 100 Ω, find the following. (a) the time constant of the circuit ms (b) the maximum charge on the capacitor µC (c) the charge on the capacitor at a time equal to one time constant after the battery is connected µC

  • An uncharged capacitor and a resistor are connected in series to a source of emf. If...

    An uncharged capacitor and a resistor are connected in series to a source of emf. If = 7.00 V, C = 19.0 µF, and R = 100 Ω, find the following: (a) the time constant of the circuit s (b) the maximum charge on the capacitor µC (c) the charge on the capacitor after one time constant µC

  • An uncharged capacitor and a resistor are connected in series to a source of emf. If...

    An uncharged capacitor and a resistor are connected in series to a source of emf. If e m f = 9.00 V, C = 25.0 µF, and R = 100 Ω, find the following: (a) the time constant of the circuit (s) (b) the maximum charge on the capacitor (µC) (c) the charge on the capacitor after one time constant (µC)

  • An uncharged capacitor and a resistor are connected in series to a source of emf. If...

    An uncharged capacitor and a resistor are connected in series to a source of emf. If e m f = 11.00 V, C = 20.0 µF, and R = 100 Ω, find the following: (a) the time constant of the circuit _____s (b) the maximum charge on the capacitor ________µC (c) the charge on the capacitor after one time constant ____µC

  • An uncharged capacitor and a resistor are connected in series to a source of emf. If...

    An uncharged capacitor and a resistor are connected in series to a source of emf. If e m f = 12.00 V, C = 25.0 µF, and R = 100 Ω, find the following: (a) the time constant of the circuit s (b) the maximum charge on the capacitor µC (c) the charge on the capacitor after one time constant µC

  • Consider a series RC circuit as in the figure below for which R = 2.00 MΩ,...

    Consider a series RC circuit as in the figure below for which R = 2.00 MΩ, C = 2.00 µF, and ε = 25.0 V. (a) Find the time constant of the circuit. s (b) What is the maximum charge on the capacitor after the switch is thrown closed? µC (c) Find the current in the resistor 10.0 s after the switch is closed. µA

  • Consider a series RC circuit as in the figure below for which R = 9.00 MΩ,...

    Consider a series RC circuit as in the figure below for which R = 9.00 MΩ, C = 9.00 µF, and e m f = 29.0 V. Consider a series RC circuit as in the figure below for which R = 9.00 MΩ, C = 9.00 µF, and = 29.0 V. (a) Find the time constant of the circuit. 1(No Response) s (b) Find the maximum charge on the capacitor after the switch is thrown closed. 2(No Response) µC (c)...

  • An uncharged capacitor and a resistor are connected in series to a source of emf. If = 9.00 V, C...

    An uncharged capacitor and a resistor are connected in series to a source of emf. If = 9.00 V, C = 17.0 µF, and R = 100 , find the following:(a) the time constant of the circuit______ s(b) the maximum charge on the capacitor______ µC(c) the charge on the capacitor after one time constant_______ µC

  • An uncharged capacitor and a resistor are connected in series to a source of EMF. If...

    An uncharged capacitor and a resistor are connected in series to a source of EMF. If ε = 6.48 V, C = 24.6 μF, and R = 125 Ω, calculate the time constant τ of the circuit. 3.08 ms You are correct. Previous Tries Calculate the maximum charge on the capacitor. Incorrect. Tries 1/20 Previous Tries Calculate the charge on the capacitor after one time constant.

  • A 1.2 µF capacitor, initially uncharged, is connected in series to a 12 V ideal battery...

    A 1.2 µF capacitor, initially uncharged, is connected in series to a 12 V ideal battery and a 5 kΩ resistor. (a) What is the charge on the capacitor after a very long time? ( b) Derive expressions describing the evolution of the electric charge and of the current in time (Q(t) and I(t)). (c) How long does it take the capacitor to reach 95% of its final charge?

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT