Science, asked by reeyu22, 8 months ago

derive an equation for equivalent of resiatance when two resistance connected in a series ​

irrelevant answer will be report.​

Answers

Answered by brainlyofficial11
376

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\bold{ \underline{ \underline{ \bold{combination \: of \: resistances}}}}→

1). Series combination

→ When two or more resistances are connected in such a way that same current passes through each resistor then combination is called series combination

2). Parallel combination

→ two or more resistances are called in parallel if same potential act across each resistance.

_________________________

ᴥ︎︎︎ derivation of equivalent or effective resistance in series combination :-

➪ Let two resistances R1 and R2 are connected in series with a source of 'V' volt and 'I' is the current flowing in the resistance then,

(we know that , by ohm's law V = IR )

V1 = IR1

V2 = IR2

the total potential

→ V = V1 + V2

or V = IR1 + IR2

if the effective or equivalent resistance of the combination is Rs then,

→V = IRs

→ IRs = I(R1+R2)

Rs = R1 + R2

__________________________

✈︎ hence, in series combination the effective resistance is equal to the sum of individual resistances.

✈︎ The effective resistance is more than the individual resistance.

Answered by Theopekaaleader
5

combinationofresistances

1). Series combination ➜

→ When two or more resistances are connected in such a way that same current passes through each resistor then combination is called series combination

2). Parallel combination ➜

→ two or more resistances are called in parallel if same potential act across each resistance.

_________________________

ᴥ︎︎︎ derivation of equivalent or effective resistance in series combination :-

➪ Let two resistances R1 and R2 are connected in series with a source of 'V' volt and 'I' is the current flowing in the resistance then,

(we know that , by ohm's law V = IR )

V1 = IR1

V2 = IR2

the total potential

→ V = V1 + V2

or V = IR1 + IR2

if the effective or equivalent resistance of the combination is Rs then,

→V = IRs

→ IRs = I(R1+R2)

→ Rs = R1 + R2

__________________________

✈︎ hence, in series combination the effective resistance is equal to the sum of individual resistances.

✈︎ The effective resistance is more than the individual resistance.

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