(1) Series circuit P (electric power) U (voltage) I (current) W (electric work) R (resistance) T (time)
The current is equal everywhere I1=I2=I
The total voltage is equal to the sum of the voltages across the consumers U=U1+U2
The total resistance is equal to the sum of the resistors R = R1 + R2
U1: U2=R1: R2
The total electric work is equal to the sum of each electric work W=W1+W2
W1: W2=R1: R2=U1: U2
P1: P2 = R1: R2 = U1: U2
The total power is equal to the sum of the powers P=P1+P2
(2) The total current of the parallel circuit is equal to the sum of the currents I=I1+I2
The voltage is equal everywhere U1=U1=U
The total resistance is equal to the product of each resistor divided by the sum of the resistors R = R1R2 ÷ (R1 + R2)
The total electric work is equal to the sum of each electric work W=W1+W2
I1: I2=R2: R1
W1: W2=I1: I2=R2: R1
P1: P2 = R2: R1 = I1: I2
The total power is equal to the sum of the powers P=P1+P2
(3) The electric power of the same electrical appliance 1 rated power than the actual power is equal to the rated voltage than the square of the actual voltage Pe/Ps = (Ue / Us) squared
2. Formula for circuit (1) Resistance R
1 resistance equals material density multiplied by (length divided by cross-sectional area) R = density × (L ÷ S)
2 resistance equals voltage divided by current R=U÷I
3 resistance is equal to the square of the voltage divided by the electric power R=UU÷P
(2) Electric work W
Electric work is equal to current multiplied by voltage multiplied by time W=UIT (general formula)
Electric work equals electric power multiplied by time W=PT
Electrical work is equal to charge multiplying voltage W=QT
Electric work is equal to the current squared multiplied by the time W = I × IRT (pure resistance circuit)
The electric work is equal to the square of the voltage divided by the resistance and multiplied by the time W=U•U÷R×T (ibid.)
(3) Electric power P
1 electric power is equal to voltage multiplied by current P=UI
2 electric power is equal to the square of the current multiplied by the resistance P = IIR (pure resistance circuit)
3 electric power is equal to the square of the voltage divided by the resistance P = UU ÷ R (ibid.)
4 electric power is equal to electric work divided by time P=W:T
(4) Electric heating Q
The electric heat is equal to the current squared into the resistance multiplied by the time Q=IIRt (the general formula)
Electric heat is equal to current multiplied by voltage times time Q=UIT=W (pure resistance circuit)
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