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Answer :
Final answer:
To calculate the inductance L1, use the formula L = XL1 / (2πf). Since the frequency isn't provided in the question, the exact value cannot be determined without additional information. The inductance can potentially be inferred if reference answers are given and the frequency remains constant.
Explanation:
The question provided involves calculating the inductance of an inductor labeled L1 in an electrical circuit, given other electrical properties of the circuit. The provided information includes the values of the inductive reactance for two separate inductors (XL1, XL2) and the total inductive reactance (XLT). To solve for the inductance L1, we use the reactance formula for inductance, which is XL = 2πfL. However, we need to rearrange this formula to solve for L, which gives us L = XL / (2πf). Assuming that the frequency (f) does not change, and knowing the inductive reactance of L1 (XL1), we can solve for the inductance L1. Without the frequency value provided, we cannot calculate the exact inductance, but based on standard equations and given reactances, we could infer the inductance through comparison with reference answers if provided.
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