Find the current through the 8 Ω resistor.

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SSC JE Electrical 15 Nov 2022 Shift 2 Official Paper
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  1. 10 A

Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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The correct answer is option 1): 

Concept:

When two resistors R1 and Rare connected in series, Then the total resistance will be

RT =  R1 +  R2

When two resistors R1 and Rare connected in parallel, Then the total resistance will be

RT = (  + )-1

The voltage across the resistor given by ohms law

V = I R

Current divider rule:

The current through R is given as

Calculation:

Given

The total resistance is given by

RT = (  )-1 + 2

= + 2

Ω 

The total current

I = 

I =  × 3

 =  A

By the current divider rule

The current through 8 Ω resistor is

=   ×  

=    A

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