Question

Three resistance of of 1 ohm , 2 ohms and 3 ohms are connected in parallel . If the current flowing through 2 ohms is 1.5 A, then current through 3 ohms will be :​

Answer 1

Answer:

1.5A current pass through 3 ohms

Answer 2

$\displaystyle\large\underline{\sf\red{Given}}$

✭ There are three resistors of 1Ω, 2Ω & 3Ω connected in parallel

✭ Current flowing through the 2Ω resistor is 1.5 A

$\displaystyle\large\underline{\sf\blue{To \ Find}}$

◈ Current through the 3Ω resistor?

$\displaystyle\large\underline{\sf\gray{Solution}}$

We know that in a parallel connection the voltage across any point in the circuit will be the same and the current varies, so to get our answer we shall use the Ohm's law which is,

$\displaystyle\sf \underline{\boxed{\sf V = IR}}$

• V = Potential difference
• I = Current
• R = Resistance

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$\underline{\bigstar\:\textsf{According to the given Question :}}$

Potential difference across the 2Ω resistor will be,

➝ $\displaystyle\sf V = IR$

• I = 1.5 A
• R = 2Ω

➝ $\displaystyle\sf V = 1.5 \times 3$

➝ $\displaystyle\sf \orange{Pd = 4.5 \ V}$

As we saw the potential difference accross any point in the circuit is the same in a series connection so then the current through the 3Ω resistor is,

➳ $\displaystyle\sf V = IR$

• V = 4.5
• R = 3Ω

➳ $\displaystyle\sf 4.5 = I \times 3$

➳ $\displaystyle\sf \dfrac{4.5}{3} = I$

➳ $\displaystyle\sf\pink{I = 1.5 \ A}$

Note : Here we are lucky to get the value of current same accross the two resistors but this doesn't mean that current accross the resistors in a parallel connection will be the same

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☯ $\displaystyle\textsf{Know More}$

⪼ Equivalent Resistance of a parallel connection is given by,

◕ $\displaystyle\sf \dfrac{1}{R_{eq}} = \dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}...+\dfrac{1}{R_n}$

⪼ Equivalent Resistance of a series connection is given by,

◕ $\displaystyle\sf R_{eq} = R_1+R_2+R_3...R_n$

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