Question

Find the. equivalent resistance, when n resistance, each having resistance r are connected in parallel​

Answer 1

Answer:-

It is given that

• Resistance of Resistor,R = r

• Number of Resistor = n

Since all resistors are connected in parallel combination .

The equivalent resistance in parallel combination is calculated by the sum of resistance of each individual Resistors.

Equivalent resistance in parallel

• 1/Req = 1/R1 + 1/R2 +... 1/Rn

where,

• R denote Resistance of each resistors
• n denote number of Resistors

Substitute the value we get

$:\implies$ 1/Req = 1/r + 1/r + 1/rn

• Hence , the Resistance in parallel combination is 1/r + 1/r + 1/rn

Extra Knowledge!!

When the resistance of each Resistors are same & connected in parallel . You can apply this formula to calculate the equivalent resistance in easier way .

• Req = R/n

where,

• R denote resistance of resistors
• n denote number of Resistor
• Req denote equivalent resistance .

Answer 2

Answer:

1/Rn = 1/r + 1/r +.. 1/Rn

Explanation:

Where

r = {First resistor}

r = {Second resistor}

Rn = {Last resistor of the given pair}

Know More :-

1/Rn = 1/R1 + 1/R2 + 1/R3 [In parallel]

1/Rn = R1 + R2 + R3 [In series]

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