Answer:[tex]C=50 \mu F[/tex]
Explanation:
R-C circuit is a circuit with a resistor and a capacitor. It is frequently used in Electronic devices
time constant [tex]\tau [/tex]in R-C circuit is given by
[tex]\tau =RC[/tex]
where [tex]R=resistance[/tex]
[tex]C=capacitance[/tex]
here [tex]\tau =0.5 s[/tex]
[tex]R=10,000 \Omega [/tex]
[tex]0.5=10,000\times C[/tex]
[tex]C=5\times 10^{-5}[/tex]
[tex]C=50 \mu F[/tex]