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The value of current through 2 ohm resistor is?..........

The value of current through 2 ohm resistor is?..........
 

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Grade:12

2 Answers

Vikas TU
14149 Points
3 years ago
Let x be the voltage at the junction of 10v 20v and 1 ohm respectively.
Apply KCL at the junction.
(x-10)/2 + (x-0)/1 + (x-20)/4 = 0
(2x – 20 + 4x + x – 20 ) = 0
7x = 40
x = 40/7
 
I = (40/7 – 10)/2 => -30/14 = -15/7A
 
minus sign indicates that the current is flowing in the opposite direction of that assumed.
Rishi Sharma
askIITians Faculty 646 Points
one year ago
Dear Student,
Please find below the solution to your problem.

Let x be the voltage at the junction of 10v 20v and 1 ohm respectively.
Apply KCL at the junction.
(x-10)/2 + (x-0)/1 + (x-20)/4 = 0
(2x – 20 + 4x + x – 20 ) = 0
7x = 40
x = 40/7
I = (40/7 – 10)/2 => -30/14 = -15/7A
minus sign indicates that the current is flowing in the opposite direction of that assumed

Thanks and Regards

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