If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
Practice Questions
1 question
Q1
If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
C1 + C2
1 / (1/C1 + 1/C2)
C1 * C2 / (C1 + C2)
C1 - C2
The equivalent capacitance C_eq of capacitors in series is given by 1 / C_eq = 1 / C1 + 1 / C2.
Questions & Step-by-step Solutions
1 item
Q
Q: If two capacitors of capacitance C1 and C2 are connected in series, what is the equivalent capacitance?
Solution: The equivalent capacitance C_eq of capacitors in series is given by 1 / C_eq = 1 / C1 + 1 / C2.
Steps: 5
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)).
