Question

Two resistors of resistances 10 ohm and 20 ohm are
connected in parallel. A battery supplies a current of
6A to the combination in the circuit.
Calculate the current in each resistor.
​

Answer 1

✿AnSwer:

The current in the 10Ω resistance is 4A while current in the 20Ω resistor is 2A.

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☯GiVen:

It is given that there are 2 resistors with resistance of 10 ohm and 20 ohm respectively. Also, a battery supplies current of 6A.

☯To Find:

Here we need to find the current in each resistor.

☯SoluTion:

ATQ,

★ Current in the 10Ω resistance is :

$\sf \longmapsto \: \: i_{1} = \dfrac{R_{2}}{R_{1} + R_{2}}i \\ \\ \sf \longmapsto \: \: i_{1} = \dfrac{20 \times 6}{20 + 10} \\ \\ \sf \longmapsto \: \:i_{1} = \dfrac{120}{30} \\ \\ \sf \longmapsto \: \: i_{1} = { \underline{ \boxed{ \bf{ \purple{ \: 4A \: }}}}} \: \bigstar$

★Current in the 20Ω resistor is :

$\sf \longmapsto \: \:i _{2} = \dfrac{R_{1}}{R_{1}+ R_{2}}i \\ \\ \sf \longmapsto \: \:i _{2} = \dfrac{10 \times 6}{10 + 20} \\ \\ \sf \longmapsto \: \:i _{2} = \dfrac{60}{30} \\ \\ \sf \longmapsto \: \:i _{2} = { \underline{ \boxed{ \bf{ \pink{ \: 2A \: }}}}} \: \bigstar$

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