Question
Download Solution PDFIn the circuit shown switch is closed at t = 0. The time constant of the circuit is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The time constant (τ) of an RC circuit is given by the formula:
τ = ReqC
where Req is the equivalent resistance seen by the capacitor, and C is the capacitance.
While finding out the time constant the voltage source will be shorted.
Calculation:
Given:
Resistors: 3Ω and 2Ω will be in parallel
Capacitance: C = 10 F
Solution:
If the resistors are actually in parallel (common in RC circuits):
Req = (3Ω × 2Ω)/(3Ω + 2Ω) = 6/5Ω = 1.2Ω
τ = ReqC = 1.2Ω × 10 F = 12 sec
Final Answer:
The correct time constant is 1) 12 sec when considering parallel resistors.
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