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Question 1.P.22: If R of 10 Ω connected across terminal A and B as in the fol......

If R of 10 Ω connected across terminal A and B as in the following circuit what is the value of current?

(a) 2 A (b) 3.175 A (c) 2.075 (d) 1.175

1.1.22
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The given circuit can be represented as

\begin{gathered} \frac{V_{ A }}{10}+\frac{V_{ A }}{4}+\frac{V_{ A }-5}{5}+\frac{V_{ A }-50}{7}=0 \\ \frac{140  V_{ A }+350  V_{ A }+280  V_{ A }-1400+200  V_{ A }-10000}{1400}=0 \\ 970  V_{ A }=11400  V_{ A }=11.75 \\ I=\frac{11.75}{10}=1.175  A \end{gathered}

1.22.1

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