Question

Вычислите реактивное сопротивление катушки индуктивностью 32 мГн на частоте 10кГц.

Answer 1

R = ω·L = 2·π·f·L
f = 10 кГц = 10 000 Гц
L = 32 мГн = 0,032 Гн

R = 2·3,14·10 000 ·0,032 ≈ 2000 Ом = 2 кОм

Ответ: 2 кОм

Answer 2

Calculation of Reactance of an Inductor

To calculate the reactive impedance (or reactance) of an inductor, we need to use the formula:

X_L = 2πfL

Where: - X_L is the reactance of the inductor in ohms (Ω) - π is a mathematical constant approximately equal to 3.14159 - f is the frequency of the alternating current in hertz (Hz) - L is the inductance of the coil in henries (H)

In this case, we are given: - Inductance (L) = 32 mH = 32 × 10^(-3) H - Frequency (f) = 10 kHz = 10 × 10^3 Hz

Let's substitute these values into the formula to calculate the reactance:

X_L = 2π × 10^4 × 32 × 10^(-3) Ω

Calculating this expression, we find:

X_L = 2π × 10^4 × 32 × 10^(-3) ≈ 6.37 Ω

Therefore, the reactive impedance (or reactance) of the inductor with an inductance of 32 mH at a frequency of 10 kHz is approximately 6.37 Ω.

Please note that the above calculation is based on the given values and the formula for reactance.