Question

Find the value of capacitance that must be put in series with a 12 MF capacitor to get a net capacitance of 3 MF.

Answer 1

Answer ⇒  The capacitance that must be connected in series is 4 MF

Explanation ⇒ Let the Capacitance that must be put in series with 12 MF be C MF.

Then by the formula of series combination in Capacitor.

1/C + 1/12 = 1/3

∴ 1/C = 1/3 - 1/12

∴ 1/C = 4/12 - 1/12

∴ 1/C = 3/12

∴ 1/C = 1/4

∴ C = 4 MF.

Hence, the capacitance that must be connected in series is 4 MF.

Hope it helps.

Answer 2

Answer:

1/C + 1/12 = 1/3

∴ 1/C = 1/3 - 1/12

∴ 1/C = 4/12 - 1/12

∴ 1/C = 3/12

∴ 1/C = 1/4

∴ C = 4 MF.