First slide

Electric current - Current Electricity

Question

The current $I_{1}$ (in A) flowing through $1 Ω$ resistor in the following circuit is

Easy

A

0.2
B

0.4
C

0.5
D

0.25

Solution

$\begin{array}{l} I n u p p e r b r a n c h 1 Ω a n d 1 Ω a r e i n p a r a l l e l, w h i c h i s i n s e r i e s w i t h 2 Ω . \\ T h e e q u i v a l e n t r e s i s \tan c e o f u p p e r b r a n c h i s (0.5 Ω + 2 Ω = 2.5 Ω) \\ M a i n c u r r e n t i n u p p e r b r a n c h = I = \frac{1}{2.5} = 0.4 A \\ T h i s w i l l b e d i v i d e d e q u a l l y i n 1 Ω b r a n c h e s . \\ I_{1} = \frac{I}{2} = \frac{0.4}{2} = 0.2 A \end{array}$

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