I'm a new student to electrical and electronics engineering. I've been given the following calculations regarding an A.C. circuit with resistors and a capacitor in series, and I'm not sure if I've answered correctly. Any help is much appreciated!
Question:
For the circuit shown below calculate the: i) Reactance of capacitor C1. ii) Impedance of the circuit using a phasor diagram. iii) Power dissipation for resistor R2.
Circuit:
simulate this circuit – Schematic created using CircuitLab
My answers:
i) \$X_C = \frac {1} {(2\pi \cdot 50Hz \cdot 1.5\cdot10^{-5}F)} = 212.2Ω\$
ii) \$Z = \sqrt {(150\Omega)^2 + (212.2\Omega)^2} = 259.9\Omega\$
iii) \$I = \frac {1V} {(150\Omega + 212.2\Omega)} \approx 0.00276A = 2.76mA\$
\$P = I^2 R = (2.76mA)^2 \cdot 50\Omega = 0.14W\$
What do you think? Thanks.