Question

Using Kirchoff's laws, Find the potential difference across resistance of 2 ohm
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Answer 1

Answer:

.677

Explanation:

by using nodal analysis and kcl

assume v is voltage at center node apply nodal analysis

Answer 2

Voltage across 2 ohm resistor will be equal to 0.677 volt

Explanation:

Let the potential at the central node is v

Now applying nodal analysis at the central node

$\frac{v-3}{5}+\frac{v-2}{4}+\frac{v}{5}=0$

$4v-12+5v-10+4v=0$

$13v=22$

$v=\frac{22}{13}volt$

So voltage at the central node will be equal to $v=\frac{22}{13}volt$

We have to find the voltage across 2 ohm resistor

Now apply voltage divider rule

So voltage across 2 ohm resistor will be = $v_{2ohm}=\frac{\frac{22}{13}\times 2}{5}=0.677volt$

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