Three identical 10 micro farad capacitors are connected in series across a 100V DC supply...calculate the total charge

Ct = 10uF/3 = 3.33 uF.

Qt = Q1 = Q2 = Q3 = Ct*V = 3.33 * 100 =
333 Micro coulombs.

To calculate the total charge in a series circuit, we can use the equation:

Q = C_eq * V

Where:
Q is the total charge,
C_eq is the equivalent capacitance of the series capacitors, and
V is the applied voltage.

In a series circuit, the equivalent capacitance is given by the reciprocal of the sum of the reciprocals of individual capacitances.

For three identical capacitors in series, the equation becomes:

C_eq = 1 / (1/C + 1/C + 1/C)

Let's calculate the equivalent capacitance:

C_eq = 1 / (1/10uF + 1/10uF + 1/10uF)
= 1 / (30uF/10uF)
= 1 / 3
= 0.33 microfarads (rounded to two decimal places)

Now, we can calculate the total charge:

Q = C_eq * V
= 0.33uF * 100V
= 33 microcoulombs (rounded to two decimal places)

Therefore, the total charge across the three capacitors in series is 33 microcoulombs.

To calculate the total charge, we will use the formula Q = CV, where Q represents the charge, C represents the capacitance, and V represents the voltage.

In this case, we have three identical capacitors connected in series, which means the effective capacitance is given by the formula:

1/C_total = 1/C1 + 1/C2 + 1/C3

Since all three capacitors have the same capacitance, we can rewrite the equation as:

1/C_total = 1/C + 1/C + 1/C = 3/C

Simplifying further:

C_total = C/3

Now we can use this effective capacitance value to calculate the total charge:

Q = C_total * V

Given that C = 10 microfarads and V = 100V, we substitute these values into the equation:

Q = (10 microfarads / 3) * 100V

Since 1 microfarad is equal to 10^(-6) farads, we convert the capacitance to farads:

Q = (10 * 10^(-6) farads / 3) * 100V

Simplifying:

Q = (10 * 10^(-6) farads / 3) * (100 / 1) V

Q = 1/3 * (10 * 100 * 10^(-6)) Coulombs

Calculating further:

Q = 1/3 * (10 * 100 * 10^(-6)) Coulombs

Q = 1/3 * (10 * 10^(-4)) Coulombs

Q = 1/3 * (10^(-3)) Coulombs

Q = 10^(-3) / 3 Coulombs

Q ≈ 0.333 Coulombs

Therefore, the total charge is approximately 0.333 Coulombs.