Question

please help me out with the question ​

Answer 1

Answer:

i) Total effective resistance as the combination is in parallel

1 R eff = 1 R 1 + 1 R 2 + 1 R 3

= 1 2 + 1 5 + 1 10

= 5+2+1 10

= 8 10 R eff = 10 8 =1.25

ii) Total current, I = I_{1} + I_{2} + I_{3} I_{3} 1 = 8A =5+2+1=8A

iii) Current through each resistor

I 1 = V R 1 = 10 2 =5 A

I 2 = V R 2 = 10 5 =2 A

I 3 = V R 3 = 10 10 =1A.

Explanation:

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Answer 2

$R_{1} = 2 \Omega$

$R_{2} = 5 \Omega$

$R_{3} = 10 \Omega$

Potential difference across each resistor

• V = 10V

Current through each resistor

$I_{1} = \frac{ V}{R_{1}} + \frac{10}{2} = 5A$

$I_{2} = \frac{ V}{R_{2} }+ \frac{10}{5}= 2A$

$I_{3} = \frac{V}{R_{3} }+ \frac{10}{10} = 1A$

$Total \: current \: I = I_{1} + I_{2} + I_{3}$

$I = 5 + 2 + 1$

$I = 8A$

$R _{eq}= \frac{V}{I }= \frac{10}{ 8}$

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