if a 10 microfarad capacitor and a 20 microfarad capacitor are connected in series what if the equivalent capacitance of the series combination?

To find the equivalent capacitance of capacitors connected in series, you can use the formula:

1/Ceq = 1/C1 + 1/C2 + ...

In this case, the capacitances of the two capacitors are given as:

C1 = 10 µF
C2 = 20 µF

To find the equivalent capacitance (Ceq), substitute the values into the formula:

1/Ceq = 1/10 µF + 1/20 µF

Now, you need to find the common denominator in order to add the fractions:

1/Ceq = (2/20) + (1/20)
= 3/20

To eliminate the fraction, take the reciprocal of both sides:

Ceq = 20/3 µF

Therefore, the equivalent capacitance of the series combination is 20/3 µF.

To find the equivalent capacitance of capacitors connected in series, you can use the formula:

1/Ceq = 1/C1 + 1/C2 + ... + 1/Cn

where Ceq is the equivalent capacitance and C1, C2, ..., Cn are the capacitance values of the capacitors in series.

In this case, you have two capacitors in series with capacitance values of 10 microfarads and 20 microfarads. So, the formula becomes:

1/Ceq = 1/10 + 1/20

To simplify this equation, you need to find a common denominator. In this case, it would be 20:

1/Ceq = 2/20 + 1/20

Combining the fractions:

1/Ceq = (2 + 1)/20
= 3/20

To find the equivalent capacitance, take the reciprocal of both sides:

Ceq = 20/3 microfarads

So, the equivalent capacitance of the series combination of a 10 microfarad capacitor and a 20 microfarad capacitor is approximately 6.67 microfarads.

1/Ctotal= 1/10+1/20 =3/20

Ctotal= 6.66 microfarad