Finding R and C from a parallel RC circuit

[Agent47]

Homework Statement

A RC parallel circuit with an impedance of Z = 105000 Ω ∠ -27 and frequency of 50 Hz.

Homework Equations

I need to find out what the R and C values using the information given.

The Attempt at a Solution

I know the impedance for a parallel RC can be calculated from

1/Z = 1/R +jwc

Z can be converted to Z = 9355.69 -j47669 but from there i am completely confused on what to do next.

Any help will be much appreciated.

 

[Curiouschap101]

Well you can calculate 1/Z and express it in a+jb form...Compare the real and imaginary parts then.

 

[Agent47]

If i do 1/z i would get,

0.000008485 +j0.000004323

but I am still not sure where R and C would come from.

 

[gneill]

I know the impedance for a parallel RC can be calculated from

1/Z = 1/R +jwc

If i do 1/z i would get,

0.000008485 +j0.000004323

but I am still not sure where R and C would come from.

[scientific notation would help curtail all those zeros ]

Equate the terms of your expression above to the numerical values of the conductance components...

 

[Agent47]

I want to thank you both for your help.