Find the time constant of the circuit

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SUMMARY

The time constant (τ) for the given circuit is calculated using the formula τ = Req * C, where C is the capacitance. With a capacitance value of 2μF and an equivalent resistance (Req) of 5MΩ, the time constant is determined to be 10 seconds. This calculation confirms the accuracy of the derived values and the application of the formula in circuit analysis.

PREREQUISITES
  • Understanding of circuit theory and components
  • Familiarity with the concept of time constant in RC circuits
  • Knowledge of calculating equivalent resistance (Req)
  • Basic proficiency in using microfarads (μF) and ohms (Ω) in calculations
NEXT STEPS
  • Study the impact of varying capacitance values on time constants in RC circuits
  • Learn about different methods for calculating equivalent resistance in complex circuits
  • Explore the behavior of RC circuits in transient analysis
  • Investigate the role of time constants in filter design and signal processing
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing RC circuits will benefit from this discussion.

Fatima Hasan
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Homework Statement


In the circuit shown S is closed at t = 0 . Find the time constant (in s) if C = 2μF.
23_EE7_FA3-_CEE1-4358-_BDA9-_D46_E4_CDDFB8_F.jpg


Homework Equations


τ = Req C

The Attempt at a Solution


R = ##\frac{10*10}{10+10}##
R = 5MΩ
τ = 5*106 * 2*10-6
= 10 s
Could somebody check my answer?
 
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