Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,459 questions

17,854 answers

1,446 comments

807,738 users

Electric switch circuit

0 votes

asked Jul 19, 2015 in ELECTRICAL ENGINEERING by anonymous

3 Answers

0 votes

(1)

Step 1:

The resistance and the capacitor are in series.

The voltage across each component is equal to the total circuit voltage.

Solve the equation for current i.

Substitute , and in .

Apply Laplace transform to find current i.

Laplace transform of constant image.

Laplace transform of integral function image.

The initial voltage of the capacitor when is image.

Apply inverse Laplace transform.

image

Inverse Laplace transform :image.

image

Solution :

The current flowing through the circuit at any moment of time is .

answered Jul 20, 2015 by yamin_math Mentor
edited Jul 20, 2015 by bradely
0 votes

(2)

Step 1:

Find the voltage across resistor .

Volatge across resistor is .

Substitute and in .

Solution :

Volatge across resistor is .

answered Jul 20, 2015 by yamin_math Mentor
0 votes

(3)

Step 1:

Find the voltage across capacitor .

The voltage across each component is equal to the total circuit voltage.

image

So the volatge across capacitor is image.

From (2) .

image

Solution :

Volatge across capacitor is image.

answered Jul 20, 2015 by yamin_math Mentor
edited Jul 20, 2015 by yamin_math

Related questions

asked Jul 24, 2015 in ELECTRICAL ENGINEERING by anonymous
asked Jul 22, 2015 in ELECTRICAL ENGINEERING by anonymous
asked Mar 29, 2016 in ELECTRICAL ENGINEERING by anonymous
asked Dec 19, 2015 in ELECTRICAL ENGINEERING by anonymous
asked Dec 12, 2015 in ELECTRICAL ENGINEERING by anonymous
...