What is the time constant of a circuit...

Question 1 / 27070WEtDWTjDTN0hQechnW0q

Question 1 of 27070WEtDWTjDTN0hQechnW0q

What is the time constant of a circuit having two 100-microfarad capacitors and two 470-kilohm resistors all in parallel?

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Question 1 of 27070

What is the time constant of a circuit having two 100-microfarad capacitors and two 470-kilohm resistors all in parallel?

🔍 Key Concepts

• Equivalent capacitance of capacitors in parallel • Equivalent resistance of resistors in parallel • Time constant formula: τ = R × C

💭 Think About

• First, determine the single equivalent capacitance when two identical capacitors are connected in parallel. Does the total get larger or smaller than one capacitor? • Next, find the single equivalent resistance when two identical resistors are connected in parallel. Does the total get larger or smaller than one resistor? • After you have both equivalent R and C, multiply them to find τ. Then, carefully convert units from microfarads and kilohms to farads and ohms.

✅ Before You Answer

• Be sure you know the formula for components in parallel (not series). • Convert microfarads (µF) to farads and kilohms (kΩ) to ohms before multiplying. • After calculating τ in seconds, compare the order of magnitude (hundreds, tens, units, less than 1) to the multiple-choice options.

Question 1 of 27070

What is the time constant of a circuit having two 100-microfarad capacitors and two 470-kilohm resistors all in parallel?

470 seconds.

47 seconds.

4.7 seconds.

0.47 seconds.