What is the total capacitance of the...

Question 1 of 27070KlpXKbMePzJfurYEyhnT

What is the total capacitance of the capacitors of 3, 5, and 7 microfarad connected in series?

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Question 1 of 27070

Q

What is the total capacitance of the capacitors of 3, 5, and 7 microfarad connected in series?

🔍 Key Concepts

• Formula for capacitors in series • How to handle reciprocals when adding in series circuits • Unit handling for microfarads (µF)

💭 Think About

• What is the relationship between total capacitance and individual capacitances when they are connected in series? Is it similar to or opposite of resistors in series? • After you compute the reciprocal sum, do you remember to take the reciprocal again to find the total capacitance? • Given the values 3, 5, and 7 µF, should the total series capacitance be smaller or larger than the smallest individual capacitor?

✅ Before You Answer

• Write and use the correct series capacitance formula for three capacitors. • Carefully calculate the reciprocal of each capacitance (1/3, 1/5, 1/7), then add them and take the reciprocal of the result. • Confirm that your final answer is less than 3 µF, since series capacitance is always less than the smallest capacitor in the string.