Skip to main content
Ch 31: Alternating Current
Young & Freedman Calc - University Physics 14th Edition
Young & Freedman Calc14th EditionUniversity PhysicsISBN: 9780321973610당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Young & Freedman Calc 14th EditionCh 31: Alternating Current문제 9a
31장, 문제 9a

What is the reactance of a 3.00-H inductor at a frequency of 80.0 Hz?

검증된 단계별 안내
1
Understand the concept of inductive reactance: Inductive reactance is the opposition that an inductor offers to the change in current. It is dependent on the frequency of the alternating current and the inductance of the coil.
Recall the formula for inductive reactance: The inductive reactance \( X_L \) is given by the formula \( X_L = 2\pi f L \), where \( f \) is the frequency and \( L \) is the inductance.
Identify the given values: From the problem, we have the inductance \( L = 3.00 \) H and the frequency \( f = 80.0 \) Hz.
Substitute the given values into the formula: Replace \( f \) and \( L \) in the formula \( X_L = 2\pi f L \) with the given values to find the reactance.
Calculate the reactance: Perform the multiplication and use the value of \( \pi \approx 3.14159 \) to compute the reactance \( X_L \).

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m
도움이 되었나요?

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Inductive Reactance

Inductive reactance is the opposition that an inductor presents to alternating current due to its inductance. It is calculated using the formula X_L = 2πfL, where X_L is the inductive reactance, f is the frequency of the AC signal, and L is the inductance. This concept is crucial for understanding how inductors affect AC circuits.
추천 영상:
가이드 코스
12:59
Mutual Induction

Frequency

Frequency refers to the number of cycles per second of an alternating current, measured in Hertz (Hz). It is a fundamental parameter in AC circuits that influences reactance and impedance. In this context, the frequency determines how quickly the current changes direction, affecting the reactance of the inductor.
추천 영상:
가이드 코스
05:08
Circumference, Period, and Frequency in UCM

Inductance

Inductance is a property of an electrical conductor that quantifies its ability to induce voltage when the current flowing through it changes. Measured in henries (H), inductance is a key factor in determining the reactance of an inductor in AC circuits. A higher inductance results in greater opposition to changes in current.
추천 영상:
가이드 코스
12:59
Mutual Induction
관련 실천
교과서 질문

(a) Compute the reactance of a 0.450-H inductor at frequencies of 60.0 Hz and 600 Hz. (b) Compute the reactance of a 2.50-μF capacitor at the same frequencies. (c) At what frequency is the reactance of a 0.450-H inductor equal to that of a 2.50-μF capacitor?

1675
views
교과서 질문

You have a 200-Ω resistor, a 0.400-H inductor, and a 6.00-μF capacitor. They are connected to form an L-R-C series circuit. What is the impedance of the circuit?

1818
views
교과서 질문

You have a 200-Ω resistor, a 0.400-H inductor, and a 6.00-μF capacitor. Suppose you take the resistor and inductor and make a series circuit with a voltage source that has voltage amplitude 30.0 V and an angular frequency of 250 rad/s. What is the impedance of the circuit?

2785
views
교과서 질문

A capacitor is connected across an ac source that has voltage amplitude 60.0 V and frequency 80.0 Hz. What is the capacitance C of the capacitor if the current amplitude is 5.30 A?

2333
views
교과서 질문

A capacitance C and an inductance L are operated at the same angular frequency. (a) At what angular frequency will they have the same reactance? (b) If L = 5 00 mH and C = 3.50 μF, what is the numerical value of the angular frequency in part (a), and what is the reactance of each element?

1757
views
교과서 질문

What is the inductance of an inductor whose reactance is 120 Ω at 80.0 Hz?

1773
views