Combination Of Capacitors

$%5Cfrac%7Bx-5%7D%7B1%7D%5CRightarrow%5C%2C%5C%2Cx%3D%2B6%5C%2C%2C%5C%2Ci_1%3Dvolt%2C%5Cfrac%7B6-0%7D%7B3%7D%3D2A$
R= $%5Cfrac%7B15-6%7D%7B3%7D$ =3 $%5COmega$
after switching on :
$%5CRightarrow$

$%5Cvarepsilon_%7Beq%7D%3D%5Cfrac%7B%5Cfrac%7B15%7D%7B3%7D%2B%5Cfrac%7B5%7D%7B1%7D%2B%5Cfrac%7B0%7D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B1%7D%2B%5Cfrac%7B1%7D%7B3%7D%7D%3D6%5C%2Cvolt$

$%5Cfrac%7B1%7D%7Br_%7Beq%7D%7D%3D%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B1%7D%2B%5Cfrac%7B1%7D%7B3%7D%5CRightarrow%5Cfrac%7B3%7D%7B5%7D%5COmega$
Steady-state charge on the capacitor
q=CV=( $2%5Cmu$ ) $(6)%3D12%5Cmu%20c$
$R_%7Beq%7D%3D%5Cfrac%7B3%7D%7B5%7D%2B3%3D%5Cfrac%7B18%7D%7B5%7D%5COmega%2C%5C%2Ci_%7Bmax%7D%3D%5Cfrac%7B%5Cvarepsilon_%7Beq%7D%7D%7BR_%7Beq%7D%7D%3D%5Cfrac%7B6%7D%7B%5Cfrac%7B18%7D%7B5%7D%7D%3D%5Cfrac%7B5%7D%7B3%7DA$
$R_%7Beq%7DC%3D%5Cfrac%7B18%7D%7B5%7D%5Ctimes2%5COmega%3D%5Cfrac%7B36%7D%7B5%7D%5Cmu%5C%2Csec.$
$%5Cfrac%7Bt%7D%7BR_c%7D%3D%5Cfrac%7B7.2%7D%7B%5Cfrac%7B36%7D%7B5%7D%7D%5Cmu%3D1$
$i(t)%3D%5Cfrac%7B%5Cvarepsilon_%7Beq%7D%7D%7BR_%7Beq%7D%7De%5E-%7B%5Cfrac%7Bt%7D%7BR_%7Beq%7DC%7D%7D%3D%5Cfrac%7B5%7D%7B3%7De%5E%7B-1%7D%3D%5Cfrac%7B5%7D%7B3%7D%5Ctimes0.36$
$i%3D0.6A$
At steady state, voltage across capacitor = 6 V
Therefore, Q = 6 × 2 = 12μC
So, all the options are correct.

High-Yield Trend

Chapter Questions
2 MCQs

Official Solution

Official Solution

Combination Of Capacitors

High-Yield Trend

Chapter Questions 2 MCQs

Official Solution

Official Solution

Chapter Questions
2 MCQs