What is the equivalent capacitance of two capacitors in series, C1 = 6μF and C2

Practice Questions

Q1
What is the equivalent capacitance of two capacitors in series, C1 = 6μF and C2 = 3μF?
  1. 2μF
  2. 4μF
  3. 1μF
  4. 9μF

Questions & Step-by-Step Solutions

What is the equivalent capacitance of two capacitors in series, C1 = 6μF and C2 = 3μF?
  • Step 1: Identify the values of the capacitors. Here, C1 = 6μF and C2 = 3μF.
  • Step 2: Write down the formula for equivalent capacitance in series: 1/C_eq = 1/C1 + 1/C2.
  • Step 3: Substitute the values of C1 and C2 into the formula: 1/C_eq = 1/6 + 1/3.
  • Step 4: Find a common denominator to add the fractions. The common denominator for 6 and 3 is 6.
  • Step 5: Rewrite 1/3 as 2/6, so now we have: 1/C_eq = 1/6 + 2/6.
  • Step 6: Add the fractions: 1/C_eq = (1 + 2)/6 = 3/6.
  • Step 7: Simplify 3/6 to 1/2, so now we have: 1/C_eq = 1/2.
  • Step 8: To find C_eq, take the reciprocal of 1/2: C_eq = 2μF.
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