Solving circuits step by step (traditional)

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Presentation transcript:

Solving circuits step by step (traditional) DC Parallel Circuits Solving circuits step by step (traditional)

RT = _________1________ _1 + _1 + _1_ R1 R2 R3 12K W 22K W 15K W RT = _________1________ _1 + _1 + _1_ R1 R2 R3 R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT

RT = _________1________ _1 + _1 + _1_ R1 R2 R3 12K W 22K W 15K W RT = _________1________ _1 + _1 + _1_ R1 R2 R3 __1__ = .0000833 12000 __1__ = .0000455 22000 __1__ = .0000667 15000 Add .0000833 .0000455 .0000667 .0001955 Invert __1__ = 5115 .0001955

RT = _________1________ _1 + _1 + _1_ R1 R2 R3 _1 + _1 + _1_ R1 R2 R3 12K W 22K W 15K W RT = 5120 W Ohms R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 22K W 15K W

12K W 22K W 15K W 12K W 22K W 15K W 5.120 K W 12V R1 I1 E1 P1 R2 I2 E2 RT IT ET PT 12K W 22K W 15K W 5.120 K W 12V

Rule for Parallel Resistors: Voltage stays the same in a parallel circuit. 12K W 22K W 15K W Volts R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 22K W 15K W 5.115K W 12V 12V 12V 12V

12K W 22K W 15K W I = E / R I = 12 / 5.115K 12 / 5115 = .002346 R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 12V 22K W 12V 15K W 12V ? 12V 5.115KW

12K W 22K W 15K W I = E / R I = 12 / 12K 12 / 12000 = .001 12K W 12V 12 / 12000 = .001 R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 12V 22K W 12V 15K W 12V 5.115K W 2.35mA 12V

12K W 22K W 15K W I = E / R I = 12 / 22K 12 / 22000 = .000545 R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 22K W 12V 15K W 12V 5.115K W 23.5mA 12V

12K W 22K W 15K W I = E / R I = 12 / 15K 12 / 15000 = .0008 12K W 1mA 12 / 15000 = .0008 R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 22K W 545mA 12V 15K W 12V 5.115K W 23.5mA 12V

12K W 22K W 15K W I = E / R Double-check Add Amps 12K W 1mA 12V 22K W RT IT ET PT 12K W 1mA 12V 22K W 545mA 12V 15K W 800mA 12V _____ 5.115K W 2.35mA 12V

12K W 22K W 15K W I = E / R Double-check Add Amps 12K W 1mA 12V .001 RT IT ET PT 12K W 1mA 12V .001 22K W 545mA .000545 12V 15K W 800mA .0008 12V _____ 5.115K W 2.35mA 12V .002345

12K W 22K W 15K W I = E / R Amps 12K W 1mA 12V 22K W 545mA 12V 15K W RT IT ET PT 12K W 1mA 12V 22K W 545mA 12V 15K W 800mA 12V 5.115K W 2.35mA 12V

P I E 12K W 22K W 15K W P = I x E P = 1mA x 12V P = .001 x 12 = 12.0 m R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 22K W 545mA 12V 15K W 800mA 12V 5.115K W 2.35mA 12V

P I E 12K W 22K W 15K W P = I x E P = 545mA x 12V P = .000545 x 12 = R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 12.0mW 22K W 545mA 12V 15K W 800mA 12V 5.115K W 2.35mA 12V

P I E 12K W 22K W 15K W P = I x E P = 800mA x 12V P = .0008 x 12 = R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 12.0mW 22K W 545mA 12V 6.54mW 15K W 800mA 12V 5.115K W 2.35mA 12V

P I E 12K W 22K W 15K W P = I x E P = 2.35mA x 12V P = .00235 x 12 = R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 12.0mW 22K W 545mA 12V 6.54mW 15K W 800mA 12V 9.60mW 5.115K W 2.35mA 12V

P I E 12K W 22K W 15K W P = I x E P = 2.35mA x 12V P = .00235 x 12 = Double-check R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 12.0mW 12.0 22K W 545mA 12V 6.54mW + 6.54 15K W 800mA 12V 9.60mW + 9.60 5.115K W 2.35mA 12V 28.2mW = 28.14

12K W 22K W 15K W Ohms Amps Volts Watts 12K W 1mA 12V 12.0mW 22K W R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 12K W 1mA 12V 12.0mW 22K W 545mA 12V 6.54mW 15K W 800mA 12V 9.6.0mW 5.115K W 2.35mA 12V 28.2 mW

Solving circuits step by step (short) DC Parallel Circuits Solving circuits step by step (short)

Same first step: copy all information to the chart 24V 150 W 330 W 180 W R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 24V 24V 24V 24V

Calculate current values for 1, 2, and 3 150 W 330 W 180 W I = E/R I = 24/150 = 0.16 I = 160mA R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 24V 150 W 160mA 330 W 24V 72.7mA 180 W 133mA 24V 24V

Add current at 1, 2, and 3 to get the total 24V 150 W 330 W 180 W IT = I1+I2+I3 IT = .16 + .0727 + .133 = 366mA R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 24V 150 W 160mA 330 W 24V 72.7mA 180 W 133mA 24V 24V

and IT Now calculate RT using ET RT = ET/IT RT = 24 / .366 = 65.6W R1 24V 150 W 330 W 180 W RT = ET/IT RT = 24 / .366 = 65.6W R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 24V 150 W 160mA 330 W 24V 72.7mA 180 W 133mA 24V 366mA 24V

Now solve for power using the power formula P = I x E R1 I1 E1 P1 R2 I2 E2 P2 R3 I3 E3 P3 RT IT ET PT 24V 150 W 160mA 330 W 24V 72.7mA 180 W 133mA 24V 65.6W 366mA 24V