Alternating current

Electromotive force of alternating current

$$\varepsilon = B\cdot S\cdot \omega$$

Ε - electromotive force
B - magnetic induction
S - area
ω - angular (cyclic, radian) frequency

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Calculate 'ε'

Electromotive force of alternating current

$$e = \varepsilon_{msin}\cdot (\omega\cdot t)$$

Ε - electromotive force
Ε_m - maximum electromotive force
ω - angular (cyclic, radian) frequency
t - time

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Calculate 'e'

Maximum intensity of alternating current

$$I_{m} = \frac{\varepsilon_{m}}{R}$$

I_m - maximum current intensity
Ε_m - maximum electromotive force
R - resistance

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Calculate 'I_m'

Effective value of alternating current intensity

$$I_{ef} = \frac{I_{m}}{\sqrt {2}}$$

I_ef - effective value of current intensity
I_m - maximum current intensity

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Average power of of alternating current

$$p_{vid} = \frac{I_{m}^{2}\cdot R}{2}$$

P_avg - average power of of alternating current
I_m - maximum current intensity
R - resistance

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Calculate 'p_avg'

Effective value of alternating current voltage

$$U_{ef} = \frac{U_{m}}{\sqrt {2}}$$

U_ef - effective value of voltage
U_m - maximum voltage

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Voltage of alternating current

$$U = U_{mcos}\cdot (\omega\cdot t)$$

U - voltage
U_m - maximum voltage
ω - angular (cyclic, radian) frequency
t - time

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Maximum intensity of alternating current

$$I_{m} = U_{m}\cdot C\cdot \omega$$

I_m - maximum current intensity
U_m - maximum voltage
C - electric capacitance
ω - angular (cyclic, radian) frequency

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Calculate 'I_m'

Capacitive reactance

$$X_{c} = \frac{1}{C\cdot \omega}$$

X_c - capacitive reactance
C - electric capacitance
ω - angular (cyclic, radian) frequency

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Calculate 'X_c'

Intensity and capacitive reactance of alternating current

$$I = \frac{U}{X_{c}}$$

I - current intensity
U - voltage
X_c - capacitive reactance

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Calculate 'I'

Intensity and inductive reactance of alternating current

$$I = \frac{U}{X_{L}}$$

I - light intensity
U - voltage
X_L - inductive reactance

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Calculate 'I'

Inductive reactance

$$X_{L} = \omega\cdot L$$

X_L - inductive reactance
ω - angular (cyclic, radian) frequency
L - inductance

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Calculate 'X_L'

Ohm's Law for alternating current (AC) circuit

$$X = \sqrt {R^{2}+(X_{L}-X_{C})^{2}}$$

X - total impedance of the circuit
R - resistance
X_L - inductive reactance
X_c - capacitive reactance

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Calculate 'X'

Ohm's Law for alternating current (AC) circuit

$$X = \sqrt {R^{2}+(\omega\cdot L-\frac{1}{C\cdot \omega})^{2}}$$

X - total impedance of the circuit
R - resistance
ω - angular (cyclic, radian) frequency
L - inductance
C - electric capacitance

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Calculate 'X'

Phase difference between current and voltage of alternating current (AC)

$$tan(\phi) = \frac{X_{L}-X_{C}}{R}$$

φ - phase difference
X_L - inductive reactance
X_c - capacitive reactance
R - resistance

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Calculate 'φ'

Resonance in alternating current (AC) circuit

$$U = I\cdot \sqrt {\frac{L}{C}}$$

U - voltage
I - current intensity
L - inductance
C - electric capacitance

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The first formula of transformer: voltage

$$\frac{U1}{U2} = \frac{N1}{N2}$$

U1, U2 - voltages
N1, N2 - number of turns in a winding

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Calculate 'U1'

The second formula of transformer: current intensity

$$\frac{I1}{I2} = \frac{N2}{N1}$$

I1, I2 - current intensities
N1, N2 - number of turns in a winding

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Calculate 'I1'