It is a purely conceptual exercise. You do not need to write formulas. Respond conceptually. Is ##X_L## inverse or directly proportional to the frequency? And the same question for ##X_C##. This takes you directly to the result.Tegalad said:The answer says XL=4XC Can someone explain me how they come to this conclusion?
Yeah, thank you for response, already got the answer.slow said:It is a purely conceptual exercise. You do not need to write formulas. Respond conceptually. Is ##X_L## inverse or directly proportional to the frequency? And the same question for ##X_C##. This takes you directly to the result.
Xc and XL are both terms used to describe the reactance of a component in an AC circuit. Xc refers to the reactance of a capacitor, while XL refers to the reactance of an inductor. The main difference between the two is that Xc is inversely proportional to frequency, while XL is directly proportional to frequency.
After a change in frequency, the reactance of a component will also change. For capacitors, the reactance will decrease as the frequency increases. For inductors, the reactance will increase as the frequency increases. This is because capacitors and inductors behave differently at different frequencies due to their unique electrical properties.
The formula for calculating reactance is X = 1/2πfC for capacitors and X = 2πfL for inductors, where f is the frequency in Hertz, C is the capacitance in Farads, and L is the inductance in Henrys. It is important to note that reactance is measured in Ohms, just like resistance.
Yes, it is possible for Xc and XL to be equal to each other. This occurs when the frequency is at the resonant frequency of the circuit. At this frequency, the reactance of the capacitor and inductor cancel each other out, resulting in an overall reactance of zero. This is known as resonance and is important in many AC circuits.
A change in frequency affects the impedance of a circuit by changing the overall resistance and reactance. As frequency increases, the reactance of the inductor will increase while the reactance of the capacitor will decrease. This results in a change in the total impedance of the circuit. Similarly, a decrease in frequency will result in a decrease in impedance.