Two capacitors, C1 = 2μF and C2 = 3μF, are connected in series. What is the equi

Practice Questions

Q1
Two capacitors, C1 = 2μF and C2 = 3μF, are connected in series. What is the equivalent capacitance?
  1. 1.2μF
  2. 5μF
  3. 6μF
  4. 0.6μF

Questions & Step-by-Step Solutions

Two capacitors, C1 = 2μF and C2 = 3μF, are connected in series. What is the equivalent capacitance?
  • Step 1: Identify the values of the capacitors. Here, C1 = 2μF and C2 = 3μF.
  • Step 2: Use the formula for equivalent capacitance in series, which is 1/C_eq = 1/C1 + 1/C2.
  • Step 3: Substitute the values into the formula: 1/C_eq = 1/2 + 1/3.
  • Step 4: Find a common denominator to add the fractions. The common denominator for 2 and 3 is 6.
  • Step 5: Rewrite the fractions: 1/2 = 3/6 and 1/3 = 2/6.
  • Step 6: Add the fractions: 1/C_eq = 3/6 + 2/6 = 5/6.
  • Step 7: To find C_eq, take the reciprocal: C_eq = 6/5.
  • Step 8: Convert 6/5 to a decimal or a microfarad value: C_eq = 1.2μF.
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