Find the time constant (in s) for the given RC circuits in the given order respectively. [2006]

Question

Find the time constant (in $μ$ s) for the given RC circuits in the given order respectively. [2006]

Given: $R_{1} = 1 Ω, R_{2} = 2 Ω, C_{1} = 4 μ F, C_{2} = 2 μ F$

Smart Achievers · Accepted Answer

(2)

$Time constant of R - C circuit, τ = R_{eq} C_{eq}$

$(i) R_{1} & R_{2} in series and C_{1} & C_{2} in parallel.$

$τ_{1} = (2 + 1) (2 + 4) = 18 μ s$

$(ii) R_{1} & R_{2} in parallel and C_{1} & C_{2} in series.$

$τ_{2} = (\frac{2 \times 1}{2 + 1}) (\frac{2 \times 4}{2 + 4}) = \frac{8}{9} μ s$

$(iii) R_{1} & R_{2} in parallel and C_{1} & C_{2} in parallel.$

$τ_{3} = (\frac{2 \times 1}{2 + 1}) \times (4 + 2) = 4 μ s$

Want Us to Email you About Special Offers & Updates?