Question

Please I really need the right answers for this question with all the correct steps, formulas, and units as soon as possible, please. Thank You.

1) A circuit consisting of an AC source, a 100-Ω resistor, and a 1.00-μF capacitor has an impedance of 1330 Ω . Part A:- What is the source frequency? Express your answer with the appropriate units. Part B:-  What is the phase difference between the current and the source emf ϕ where −90∘ ≤ϕ≤ 90∘?

Please I really need the right answers for this question with all the correct steps, formulas, and units as soon as possible, please. Thank You.

Answer 1

A.We are given that the resistance capacitance .

The impedance of the circuit .

We have X_L=0 since there is no inductance in the circuit.

Also. Substituting these values of R and X_C in the equation for impedance we obtain R²+X_C²=1330².

On simplifying we obtain X_C=1326.2 ohm.

Therefore .

.

B. The phase difference between the current and source emf is given by .

Therefore . This implies that current leads emf by 86⁰ as it must be for a capacitive circuit.