Question

In a circuit diagram given alongside, the current flowing across 5 ohm resistor is 1 amp.Find the current flowing through the other two resistors.​

Answer 1

Answer:

Current through 4 ohm resistor = V/R = 5/4 = 1.25 A

Current through 10 ohm resistor = V/R = 5/10 = 0.5 A

Answer 2

Given :

▪ Three identical resistors of resistances 5Ω, 4Ω and 10Ω are connected in parallel with a battery of voltage V.

▪ Current flows in 5Ω resistor = 1A

To Find :

▪ Current flow through other two resistors.

Concept :

↗ First we have to find out potential difference across the combination of resistors.

↗ We know that, Potential difference across all resistors in parallel connection remains same.

↗ As per ohm's law, Current flow through a resistor is directly proportional to the applied potential difference. (at constant temperature)

$\bigstar\:\underline{\boxed{\bf{\blue{V=IR}}}}$

• V denotes applied Pd
• I denotes current
• R denotes resistance

CalculaTioN :

✴ Applied potential difference :

$\dashrightarrow\bf\:V=I_1R_1\\ \\ \dashrightarrow\sf\:V=1\times 5\\ \\ \dashrightarrow\bf{\underline{V=5\:Volt}}$

❇ Current through 4Ω resistor :

$\longrightarrow\bf\:V=I_2R_2\\ \\ \longrightarrow\sf\:5=I_2\times 4\\ \\ \longrightarrow\underline{\boxed{\bf{\orange{I_2=1.25A}}}}\:\gray{\bigstar}$

❇ Current through 10Ω resistor :

$\twoheadrightarrow\bf\:V=I_3R_3\\ \\ \twoheadrightarrow\sf\:5=I_3\times 10\\ \\ \twoheadrightarrow\underline{\boxed{\bf{\green{I_3=0.5A}}}}\:\purple{\bigstar}$