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ASSOCIAÇÃODE
RESISTORES
ASSOCIAÇÃODE
RESISTORES
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CIRCUITOS ELÉTRICOSCOMPLEXOS
NA PRÁTICA NADA MAIS SÃO QUE SIMPLES ASSOCIAÇÕES
DE DOIS TIPOS DE CIRCUITOS FUNDAMENTAIS:
CIRCUITOS ELÉTRICOSCOMPLEXOS
NA PRÁTICA NADA MAIS SÃO QUE SIMPLES ASSOCIAÇÕES
DE DOIS TIPOS DE CIRCUITOS FUNDAMENTAIS:
CIRCUITO EM SÉRIE.
CIRCUITO PARALELO.
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CIRCUITOS SÉRIE.
CIRCUITOS SÉRIE.
CIRCUITOS SÉRIE.
CIRCUITOS SÉRIE.
CIRCUITOS SÉRIE.
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QUANDO AS RESISTÊNCIAS SÃO CONECTADAS UMA EM SEGUIDA DA OUTRA.
QUANDO AS RESISTÊNCIAS SÃO CONECTADAS UMA EM SEGUIDA DA OUTRA.
CIRCUITOS SÉRIE.
A CORRENTE É A MESMA EM TODAS ELAS.
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CIRCUITO SÉRIE.
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CIRCUITO SÉRIE.
Quando retiramos uma lâmpada....Quando retiramos uma lâmpada....
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CIRCUITO SÉRIE.
Quando retiramos uma lâmpada....Quando retiramos uma lâmpada....
... Todas se apagam.... Todas se apagam.
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V
120 V
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V120 V V
120 V
V120 V
20 V
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120 V V
20 V
V
20 V
40 V
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120 V
V
20 V
40 V
V60 V
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120 V
A40 V
40 V
40 V
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120 V
A20 V
40 V
60 V
2 A
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120 V
40 V
40 V
40 V
2 A
A A A
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120 V
20 V
40 V
60 V
2 A
A 2 A
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120 V
40 V
40 V
40 V
2 A
A
2 A
A
A
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120 V
20 V
40 V
60 V
2 A
2 A
A2 A
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120 V
20 V
40 V
60 V
2 A
2 A
2 A
A corrente é a
mesma e a tensão
se divide entre as
resistências
A corrente é a
mesma e a tensão
se divide entre as
resistências
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RESISTÊNCIA EQUIVALENTERESISTÊNCIA EQUIVALENTE
Uma única resistência que
colocada no lugar das outras,
submetida a mesma tensão,
permitirá a passagem do mesmo
valor de corrente
Uma única resistência que
colocada no lugar das outras,
submetida a mesma tensão,
permitirá a passagem do mesmo
valor de corrente
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120 V
2 A
120 V
2 A
RESISTÊNCIA EQUIVALENTERESISTÊNCIA EQUIVALENTE
R1
R2R3
Re= R1+ R2+ R3
Re
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QUANDO AS RESISTÊNCIAS SÃO CONECTADAS LADO A LADO (INÍCIO COM INÍCIO, FINAL COM FINAL)
QUANDO AS RESISTÊNCIAS SÃO CONECTADAS LADO A LADO (INÍCIO COM INÍCIO, FINAL COM FINAL)
CIRCUITO PARALELO.
criando assim mais de um caminho para a corrente.
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CIRCUITO PARALELO.
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Quando retiramos uma lâmpada....Quando retiramos uma lâmpada....
CIRCUITO PARALELO.
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Quando retiramos uma lâmpada...Quando retiramos uma lâmpada...
CIRCUITO PARALELO.
... As demais permanecem acesas.
... As demais permanecem acesas.
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V
120 V
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V
120 V
V
120 V
V120 V V120 V
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V120 V
120 V
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V120 V
120 V
120 V
120 V
120 V
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A
120 V
120 V
120 V
120 V
120 V
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A
2 A
120 V
120 V 120 V
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A
2A
120 V
120 V 120 V
A A
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2 A
120 V
120 V 120 V
A 1 A
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A
120 V
120 V 120 V
2 A
1 A A A A
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2A
120 V
120 V 120 V
2A A
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2 A
120 V
120 V 120 V
1 A A 1 A
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2 A
120 V
120 V 120 V
1 A 1 A
A tensão é a mesma e a corrente se divide entre as resistências
A tensão é a mesma e a corrente se divide entre as resistências
As resistências são independentesAs resistências são independentes
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PARA CALCULARMOS A RESISTÊNCIA EQUIVALENTE
DO CIRCUITO PARALELOUSAREMOS A FÓRMULA
=Re
1R1
1 +R2
1 +R3
1 +...Rn
1
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Re
1R1
1R2
1R3
1= + + +...Rn
1
=Re
1R1
1 +R2
1 +R3
1 +...Rn
1
=Re
1R1
1 +R2
1 +R3
1 +...Rn
1
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=Re
1R1
1 +R2
1 +R3
1 +...Rn
1
PARA DUASRESISTÊNCIAS EM PARALELO
USAREMOS A FÓRMULA
=Re
R1 x R2
R1 + R2
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NOTA
A RESISTÊNCIA
EQUIVALENTE DE UM
CIRCUITO PARALELO É
SEMPRE MENOR QUE A
MENOR RESISTÊNCIA DO
CIRCUITO
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RESUMO DE FÓRMULAS
Re
1R1
1R2
1R3
1Rn
1
CIRCUITO SÉRIE
CIRCUITO PARALELO
= + + +...
Re= R1+ R2+ RnR3+...
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EXISTEM RESISTÊNCIAS, TANTO EM SÉRIE COMO
EM PARALELO.
EXISTEM RESISTÊNCIAS, TANTO EM SÉRIE COMO
EM PARALELO.
CIRCUITO MISTO
R1 R2 R3
R4
R5
R6
R7
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EXEMPLO DE RESITÊNCIA
EQUIVALENTE
DE UM CIRCUITO MISTO
EXEMPLO DE RESITÊNCIA
EQUIVALENTE
DE UM CIRCUITO MISTO
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R1 e R2 Estão em sérieR1 e R2 Estão em série
R1 R2 R3
R4
R5
R6
R7
Re1= R1 + R2 Re1= R1 + R2
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Re1 R3
R4
R5
R6
R7
R1 e R2 Estão em sérieR1 e R2 Estão em série
Re1 = R1 + R2 Re1 = R1 + R2
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Re1 R3
R4
R5
R6
R7
R3 e R4 Estão em sérieR3 e R4 Estão em série
Re2 = R3 + R4 Re2 = R3 + R4
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Re1
Re2
R5
R6
R7
R3 e R4 Estão em sérieR3 e R4 Estão em série
Re2 = R3 + R4 Re2 = R3 + R4
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Re1
Re2
R5
R6
R7
R6 e R7 Estão em sérieR6 e R7 Estão em série
Re3 = R6 + R7 Re3 = R6 + R7
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R6 e R7 Estão em sérieR6 e R7 Estão em série
Re3 = R6 + R7 Re3 = R6 + R7
Re1
Re2
R5
R e3
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Re2 e Re3 Estão em paraleloRe2 e Re3 Estão em paralelo
Re4 =Re4 =
Re1
Re2
R5
Re3
Re2 x Re3Re2 x Re3
Re2 + Re3Re2 + Re3
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Re1
Re4
R5
Re2 e Re3 Estão em paraleloRe2 e Re3 Estão em paralelo
Re4 =Re4 =Re2 x Re3Re2 x Re3
Re2 + Re3Re2 + Re3
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Re1
Re4
R5
Re1 , Re4 e R 5 Estão em sérieRe1 , Re4 e R 5 Estão em série
Re= Re1 + Re4 + R 5 Re= Re1 + Re4 + R 5
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Re
Re= Re1 + Re4 + R 5 Re= Re1 + Re4 + R 5
Re1 , Re4 e R 5 Estão em sérieRe1 , Re4 e R 5 Estão em série