Question

Three capacitors are identical, each with a capacitance of C. In terms of C, what are the three different equivalent capacitance values that can be obtained by using all three capacitors in a single circuit?

O 2C/3
O 3C
O C/3
O 20
O C

Answer 1

The three different equivalent capacitance values that can be obtained with three capacitors each of capacitance C in a single circuit are 3C, C/3, and 2C/3, depending on whether the capacitors are connected in parallel, series, or a combination of both.

Step-by-step explanation:

The question deals with finding the equivalent capacitance values of a network using three identical capacitors each with capacitance C. When capacitors are connected in different configurations, the total or equivalent capacitance can change based on how they are connected - in series or in parallel.

When all three capacitors are connected in parallel, the equivalent capacitance is the sum of all three, which gives 3C. If they are connected in series, the equivalent capacitance can be found by using the formula for capacitors in series:

1/Ceq = 1/C + 1/C + 1/C

=> 1/Ceq = 3/C

=> Ceq = C/3.

The third configuration can be a combination of both series and parallel connections. For example, two capacitors in parallel giving an equivalent capacitance of 2C connected in series with the third capacitor. This would give an equivalent capacitance calculated by: 1/Ceq = 1/2C + 1/C => 1/Ceq = 3/2C => Ceq = 2C/3.

Therefore, the three different equivalent capacitance values that can be obtained by using all three capacitors in a single circuit are 3C, C/3, and 2C/3.