Question

Сила тока, протекающего по обмотке катушки, равномерно изменяется на 5 А за 0,25 с. При этом возбуждается ЭДС самоиндукции 200 В. Определите индуктивность катушки.

Answer 1

|ε| = LΔI/Δt = > L = εΔt/ΔI 

Answer 2

Calculation of Inductance of the Coil

To determine the inductance of the coil, we can use the formula:

E = -L * (dI/dt)

Where: - E is the induced electromotive force (EMF) or self-induced voltage (in volts) - L is the inductance of the coil (in henries) - dI/dt is the rate of change of current with respect to time (in amperes per second)

In this case, we are given that the current changes uniformly by 5 A in 0.25 s and the induced EMF is 200 V. We can use these values to calculate the inductance of the coil.

Given: - Change in current (dI) = 5 A - Change in time (dt) = 0.25 s - Induced EMF (E) = 200 V

Using the formula, we can rearrange it to solve for the inductance (L):

L = -E / (dI/dt)

Substituting the given values:

L = -200 V / (5 A / 0.25 s)

Simplifying the expression:

L = -200 V / (20 A/s)

L = -10 H

Therefore, the inductance of the coil is 10 henries.