If two capacitors of capacitance C1 and C2 are connected in series, what is the

Practice Questions

Q1
If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
  1. C1 + C2
  2. 1 / (1/C1 + 1/C2)
  3. C1 * C2 / (C1 + C2)
  4. C1 - C2

Questions & Step-by-Step Solutions

If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
  • Step 1: Understand that capacitors in series means they are connected end to end, so the total voltage across them is the sum of the individual voltages.
  • Step 2: Recall the formula for equivalent capacitance in series: 1 / C_eq = 1 / C1 + 1 / C2.
  • Step 3: To find C_eq, first calculate 1 / C1 and 1 / C2 separately.
  • Step 4: Add the two results from Step 3 together to get the total: 1 / C_eq = (1 / C1) + (1 / C2).
  • Step 5: Take the reciprocal of the total from Step 4 to find C_eq: C_eq = 1 / ((1 / C1) + (1 / C2)).
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