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Find the current I.
Question

Find the current I.

A.

5 A

B.

2 A

C.

0.8 A

D.

–0.8 A

Correct option is D

Applying Nodal analysis to node V₁-

2+V13+V1102=0V13+V1102=22V1+3V130=12V1=425I=V1102=425102I=425010I=810I=0.8 A-2 + \frac{V_1}{3} + \frac{V_1 - 10}{2} = 0\\\frac{V_1}{3} + \frac{V_1 - 10}{2} = 2\\2V_1 + 3V_1 - 30 = 12\\V_1 = \frac{42}{5}\\I = \frac{V_1 - 10}{2} = \frac{\frac{42}{5} - 10}{2}\\I = \frac{42 - 50}{10}\\I = -\frac{8}{10}\\I = -0.8 \text{ A}

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