A resistance of 10 ohm is in series with an inductance of 0.5H what capacitance should you put in series to obtain maximum current?

Answer 1

That depends on the frequency of the alternating current that you want the circuit to pass.

If it's to be DC, then any series capacitance will stop the current completely. DC doesn't pass

through a capacitor.

If it's to be AC, then you need a 'C' that will cancel the reactance of the 'L'.

Reactance of the 'L' = 2 pi f L = pi f, where ' f ' is the frequency of the voltage across the circuit.

Reactance of a 'C' will be = - 1/(2 pi f C)

You want 1/(2 pi f C) = pi f

Multiply each side by (2 pi f C):

1 = 2 pi2 f2 C

Divide each side by (2 pi2 f2):

C = 1/(2 pi2f2)

That's the capacitance you need, to make a 'series-resonant' circuit and maximize the current,

for the frequency of ' f '.