Answer:
The value of resistance will be 42.08 ohm
Explanation:
We have given capacitance [tex]C=10\mu F=10\times 10^{-6}F[/tex]
Frequency f = 1 kHz = 1000 Hz
Impedance Z = 45 ohm
Capacitive reactance [tex]X_C=\frac{1}{\omega C}=\frac{1}{2\pi fC}=\frac{1}{2\times 3.14\times 1000\times 10^{-5}}=15.92ohm[/tex]
We know that impedance is given by [tex]Z=\sqrt{R^2+X_C^2}[/tex]
[tex]45=\sqrt{R^2+15.92^2}[/tex]
Squaring both side [tex]2025=R^2+253.4464[/tex]
R = 42.08 ohm
