Formulated by Ohm's law - Solutions - Huaqiang

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The formula is derived from Ohm's law:
Parallel circuit: series circuit I total = I1 + I2 I total = I1 = I2
U total = U1 = U2 U total = U1 + U2
1: R total = 1: R1 + 1: R2 R total = R1 + R2R
I1: I2=R2: R1 U1: U2=R1: R2
R total = R1 + R2: R1R2
R total = R1R2R3: R1R2+R2R3 + R1R3
That is to say: current = voltage ÷ resistance or voltage = resistance × current The current flowing through the resistance in the circuit is proportional to the voltage applied across the resistor, and inversely proportional to the resistance of the resistor.
(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=QU
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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