1) What is the voltage across the capacitor immediately after switch S1 is close
ID: 1533846 • Letter: 1
Question
1) What is the voltage across the capacitor immediately after switch S1 is closed?
Vc = 0
Vc = V
Vc = 2V/3
2) What is the voltage across the capacitor after switch S1 has been closed for a very long time?
Vc = 0
Vc = V
Vc = 2V/3
3) After being closed a long time, switch 1 is opened and switch 2 is closed. What is the current through the right resistor immediately after switch 2 is closed?
IR = 0
IR = V/3R
IR = V/2R
IR = V/R
4) Now suppose both switches are closed. What is the voltage across the capacitor after a very long time?
Vc = 0
Vc = V
Vc = 2V/3
and explanation for each question please!
A circuit is wired up as shown below. The capacitor is initially uncharged and switches S1 and S2 are initially open. 2R S1 S2Explanation / Answer
from the given circuit
1) What is the voltage across the capacitor immediately after switch S1 is closed?
the relation between Q,C,V is Q = C*V
immediately after S1 is closed the charge on C is zero so the voltage is V = Q/C = 0 V
answer zero
2) What is the voltage across the capacitor after switch S1 has been closed for a very long time?
as the charges starts to deposit on the plates so that the current will be max in the bigening and after a long time the the capacitor fully charges so that no more charges will be deposited then
then Q = c*V
VC = Q/C
VC = V which is maximum
answer V
3) After being closed a long time, switch 1 is opened and switch 2 is closed. What is the current through the right resistor immediately after switch 2 is closed?
in this case the s1 is open then circuit contains only capacitor of voltage V and resistance 2R are in series , then
current will be from Ohm's law V = I*R ==> I = V/R = V/2R
answer is V/2R
4) Now suppose both switches are closed. What is the voltage across the capacitor after a very long time?
the capacitor and the resistor 2R are in parallel then the voltage across these will be same and current through R and C is same
so V capacitor = V_2R
= 2R/(1+2)R*V
= V(2/3 )
the answer is 2V/3
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